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Showing papers by "Mildred S. Dresselhaus published in 2013"


Journal ArticleDOI
TL;DR: The growth of high-quality MS2 (M = Mo, W) monolayers is demonstrated using ambient-pressure chemical vapor deposition (APCVD) with the seeding of perylene-3,4,9,10-tetracarboxylic acid tetrapotassium salt (PTAS) and a robust technique in transferring the MS2 monolayer samples to diverse surfaces is demonstrated.
Abstract: Recently, monolayers of layered transition metal dichalcogenides (LTMD), such as MX2 (M = Mo, W and X = S, Se), have been reported to exhibit significant spin-valley coupling and optoelectronic performances because of the unique structural symmetry and band structures. Monolayers in this class of materials offered a burgeoning field in fundamental physics, energy harvesting, electronics, and optoelectronics. However, most studies to date are hindered by great challenges on the synthesis and transfer of high-quality LTMD monolayers. Hence, a feasible synthetic process to overcome the challenges is essential. Here, we demonstrate the growth of high-quality MS2 (M = Mo, W) monolayers using ambient-pressure chemical vapor deposition (APCVD) with the seeding of perylene-3,4,9,10-tetracarboxylic acid tetrapotassium salt (PTAS). The growth of a MS2 monolayer is achieved on various surfaces with a significant flexibility to surface corrugation. Electronic transport and optical performances of the as-grown MS2 mon...

630 citations


Journal ArticleDOI
TL;DR: The theoretical work done by Lyndon Hicks and Mildred Dresselhaus 20 years ago on the effect of reduced dimensionality on thermoelectric efficiency has had deep implications beyond the initial expectations.
Abstract: The theoretical work done by Lyndon Hicks and Mildred Dresselhaus 20 years ago on the effect of reduced dimensionality on thermoelectric efficiency has had deep implications beyond the initial expectations.

539 citations


Journal ArticleDOI
TL;DR: G-O appears to be an ideal material for constructing humidity sensors with ultrahigh sensitivity for widespread applications and has a fast response time and recovery time compared with conventional capacitive humidity sensors.
Abstract: Humidity sensors have been extensively used in various fields, and numerous problems are encountered when using humidity sensors, including low sensitivity, long response and recovery times, and narrow humidity detection ranges. Using graphene oxide (G-O) films as humidity sensing materials, we fabricate here a microscale capacitive humidity sensor. Compared with conventional capacitive humidity sensors, the G-O based humidity sensor has a sensitivity of up to 37800% which is more than 10 times higher than that of the best one among conventional sensors at 15%–95% relative humidity. Moreover, our humidity sensor shows a fast response time (less than 1/4 of that of the conventional one) and recovery time (less than 1/2 of that of the conventional one). Therefore, G-O appears to be an ideal material for constructing humidity sensors with ultrahigh sensitivity for widespread applications.

538 citations


Journal ArticleDOI
TL;DR: Growth of highly uniform and well-aligned ZnO nanowire arrays on graphene by modifying the graphene surface with conductive polymer interlayers is demonstrated and it is demonstrated that it can serve as a viable replacement for ITO in various photovoltaic device configurations.
Abstract: Growth of semiconducting nanostructures on graphene would open up opportunities for the development of flexible optoelectronic devices, but challenges remain in preserving the structural and electrical properties of graphene during this process. We demonstrate growth of highly uniform and well-aligned ZnO nanowire arrays on graphene by modifying the graphene surface with conductive polymer interlayers. On the basis of this structure, we then demonstrate graphene cathode-based hybrid solar cells using two different photoactive materials, PbS quantum dots and the conjugated polymer P3HT, with AM 1.5G power conversion efficiencies of 4.2% and 0.5%, respectively, approaching the performance of ITO-based devices with similar architectures. Our method preserves beneficial properties of graphene and demonstrates that it can serve as a viable replacement for ITO in various photovoltaic device configurations.

193 citations


Journal ArticleDOI
TL;DR: Raman characterizations not only confirmed that hBN is a superior substrate but also revealed for the first time that a graphene edge with hBN passivation displays reduced D band intensity compared to an open edge.
Abstract: Two-dimensional (2D) materials such as graphene and hexagonal boron nitride (hBN) have attracted significant attention due to their remarkable properties. Numerous interesting graphene/hBN hybrid structures have been proposed but their implementation has been very limited. In this work, the synthesis of patched structures through consecutive chemical vapor deposition (CVD) on the same substrate was investigated. Both in-plane junctions and stacked layers were obtained. For stacked layers, depending on the synthesis sequence, in one case turbostratic stacking with random rotations were obtained. In another, “AA-like”, slightly twisted stacking between graphene and hBN was observed with lattice orientation misalignment consistently to be <1°. Raman characterizations not only confirmed that hBN is a superior substrate but also revealed for the first time that a graphene edge with hBN passivation displays reduced D band intensity compared to an open edge. These studies pave the way for the proposed well-order...

190 citations


Journal ArticleDOI
TL;DR: In this paper, the authors explore the direct transfer via lamination of chemical vapor deposition graphene onto different flexible substrates, including polytetrafluoroethylene filter membranes, PVC, cellulose nitrate/cellulose acetate filter membrane, polycarbonate, paraffin, polyethylene terephthalate, paper, and cloth.
Abstract: In this paper we explore the direct transfer via lamination of chemical vapor deposition graphene onto different flexible substrates. The transfer method investigated here is fast, simple, and does not require an intermediate transfer membrane, such as polymethylmethacrylate, which needs to be removed afterward. Various substrates of general interest in research and industry were studied in this work, including polytetrafluoroethylene filter membranes, PVC, cellulose nitrate/cellulose acetate filter membranes, polycarbonate, paraffin, polyethylene terephthalate, paper, and cloth. By comparing the properties of these substrates, two critical factors to ensure a successful transfer on bare substrates were identified: the substrate’s hydrophobicity and good contact between the substrate and graphene. For substrates that do not satisfy those requirements, polymethylmethacrylate can be used as a surface modifier or glue to ensure successful transfer. Our results can be applied to facilitate current processes and open up directions for applications of chemical vapor deposition graphene on flexible substrates. A broad range of applications can be envisioned, including fabrication of graphene devices for opto/organic electronics, graphene membranes for gas/liquid separation, and ubiquitous electronics with graphene.

176 citations


Journal ArticleDOI
TL;DR: This work developed a method to provide facile identification of the stacking orientation by isotope labeling in bilayer graphene grown through Low Pressure Chemical Vapor Deposition (LPCVD) with enclosed Cu foils, achieving almost 70% AB-stacked bilay graphene.
Abstract: The growth of large-area bilayer graphene has been of technological importance for graphene electronics. The successful application of graphene bilayers critically relies on the precise control of the stacking orientation, which determines both electronic and vibrational properties of the bilayer system. Toward this goal, an effective characterization method is critically needed to allow researchers to easily distinguish the bilayer stacking orientation (i.e., AB stacked or turbostratic). In this work, we developed such a method to provide facile identification of the stacking orientation by isotope labeling. Raman spectroscopy of these isotopically labeled bilayer samples shows a clear signature associated with AB stacking between layers, enabling rapid differentiation between turbostratic and AB-stacked bilayer regions. Using this method, we were able to characterize the stacking orientation in bilayer graphene grown through Low Pressure Chemical Vapor Deposition (LPCVD) with enclosed Cu foils, achievin...

149 citations


Journal ArticleDOI
TL;DR: In this article, the authors report mechanical properties of single-layer hexagonal boron-nitride (h-BN) and its band structures tuned by straining by using the density functional theory calculations.
Abstract: Current interest in two-dimensional materials extends from graphene to others systems such as single-layer hexagonal boron-nitride (h-BN), for the possibility of making heterogeneous structures. Here, we report mechanical properties of h-BN and its band structures tuned by straining by using the density functional theory calculations. Young’s modulus and bending rigidity for h-BN are isotropic; its failure strength and failure strain show strong anisotropy. A small fraction of antisite defects in h-BN can largely decrease its mechanical properties. We reveal that strain can tune single-layer h-BN from an insulator to a semiconductor.

143 citations


Journal ArticleDOI
TL;DR: This work reports a facile method of copper pre-cleaning to improve the graphene quality and the reproducibility of the growth process and found that the commercial Ni etchant or nitric acid is the most effective cleaning agent among various acidic or basic solutions.
Abstract: Copper foil is the most common substrate to synthesize monolayer graphene by chemical vapor deposition (CVD). The surface morphology and conditions of the copper foil can be very different depending on the various suppliers or different batches. These surface properties of copper strongly affect the growth behavior of graphene, thus rendering the growth conditions irreproducible when different batches of Cu foil are used. Furthermore, the quality of the graphene is severely affected as well. In this work, we report a facile method of copper pre-cleaning to improve the graphene quality and the reproducibility of the growth process. We found that the commercial Ni etchant (based on nitric acid) or nitric acid is the most effective cleaning agent among various acidic or basic solutions. The graphene grown on thus-treated copper surfaces is very clean and mostly monolayer when observed under scanning electron microscopy (SEM) and optical imaging, as compared to the graphene grown on untreated copper foil. Different batches (but with the same catalog number) of copper foil from Alfa Aesar Company were examined to explore the effect of copper pre-cleaning; consistent growth results were obtained when pre-cleaning was used. This method overcomes a commonly encountered problem in graphene growth and could become one of the standard protocols for preparing the copper foil substrate for growing graphene or other 2D materials.

138 citations


Journal ArticleDOI
TL;DR: In this article, the elastic properties of single-layer hexagonal boron-nitride (h-BN) and its band structures were investigated by using the density functional theory calculations.
Abstract: Current interest in two-dimensional materials extends from graphene to others systems like single-layer hexagonal boron-nitride (h-BN), for the possibility of making heterogeneous structures to achieve exceptional properties that cannot be realized in graphene.The electrically insulating h-BN and semi-metal graphene may open good opportunities to realize a semiconductor by manipulating the morphology and composition of such heterogeneous structures.Here we report the mechanical properties of h-BN and its band structures tuned by mechanical straining by using the density functional theory calculations.The elastic properties, both the Young's modulus and bending rigidity for h-BN, are isotropic.We reveal that there is a bi-linear dependence of band gap on the applied tensile strains in h-BN. Mechanical strain can tune single-layer h-BN from an insulator to a semiconductor, with a band gap in the 4.7eV to 1.5eV range.

120 citations


Journal ArticleDOI
11 Jul 2013-ACS Nano
TL;DR: Raman spectra indicated that the bonding type between Cl and graphene depends sensitively on the dc bias applied in the plasma chamber during chlorination and can therefore be engineered into different reaction regimes, such as ionic bonding, covalent bonding, and defect creation.
Abstract: We systematically investigated plasma-based chlorination of graphene and compared its properties before and after such treatment. X-ray photoelectron spectroscopy revealed that a high Cl coverage of 45.3% (close to C2Cl), together with a high mobility of 1535 cm2/(V s), was achieved. The C:Cl ratio n (CnCl) can be effectively tuned by controlling the dc bias and treatment time in the plasma chamber. Chlorinated graphene field-effect transistors were fabricated, and subsequent Hall-effect measurements showed that the hole carrier concentration in the chlorinated graphene can be increased roughly by a factor of 3. Raman spectra indicated that the bonding type between Cl and graphene depends sensitively on the dc bias applied in the plasma chamber during chlorination and can therefore be engineered into different reaction regimes, such as ionic bonding, covalent bonding, and defect creation. Micro-Raman mapping showed that the plasma-based chlorination process is a uniform process on the micrometer scale.

Journal ArticleDOI
TL;DR: A novel chemical-exfoliation spark-plasma-sintering (CE-SPS) nano-structuring process is described, which transforms the microstructure of n-type Bi2Te3 in an extraordinary manner without compromising its basal plane properties.
Abstract: Over the past two decades several nano-structuring methods have helped improve the figure of merit (ZT) in the state-of-the art bulk thermoelectric materials. While these methods could enhance the thermoelectric performance of p-type Bi2Te3, it was frustrating to researchers that they proved ineffective for n-type Bi2Te3 due to the inevitable deterioration of its thermoelectric properties in the basal plane. Here, we describe a novel chemical-exfoliation spark-plasma-sintering (CE-SPS) nano-structuring process, which transforms the microstructure of n-type Bi2Te3 in an extraordinary manner without compromising its basal plane properties. The CE-SPS processing leads to preferential scattering of electrons at charged grain boundaries, and thereby increases the electrical conductivity despite the presence of numerous grain boundaries, and mitigates the bipolar effect via band occupancy optimization leading to an upshift (by ~ 100 K) and stabilization of the ZT peak over a broad temperature range of ~ 150 K.

Journal ArticleDOI
27 May 2013
TL;DR: It is believed that, within a short time, commercial products based on any of these materials will be a reality but further experimental and theoretical research is still needed, as well as the development of low-cost production processes for commercial materials, devices, and products.
Abstract: Carbon, an ancient element, is still fascinating us with its flexibility to be transformed into different materials via its different degrees of hybridization (sp, sp2, and sp3). After the structural identification in the beginning of the 20th century by John D. Bernal, graphite became a material of intense study. In the 1950s and 1960s, the physics and chemistry of graphite started to be developed from both theoretical and experimental perspectives. Soon after, graphite intercalation compounds and the synthesis of carbon microfibers became popular, and then in 1985, the era of nanocarbons started with the discovery of fullerenes (carbon cage molecules), followed by the structural identification of nanotubes and the isolation of graphene. Today, these three novel nanocarbons are being intensively studied and the physico-chemical properties are different among the three. This review intends to provide a historical perspective of these novel forms of carbon and their impact on electronics and other fields. We believe that, within a short time, commercial products based on any of these materials will be a reality but further experimental and theoretical research is still needed in some areas, as well as the development of low-cost production processes for commercial materials, devices, and products.

Journal ArticleDOI
TL;DR: In this paper, an original and easy route to produce mono-, bi-and tri-layer graphene is proposed using the chemical vapor deposition technique, which is carried out at atmospheric pressure using liquid precursors, copper as catalyst, and a single gas injection line consisting of a very diluted mixture of H2 in Argon (H2: 5%).

Journal ArticleDOI
23 Jan 2013-ACS Nano
TL;DR: The optical characterization of bundled and individual triple-walled carbon nanotubes was studied for the first time in detail by using resonant Raman spectroscopy to extract important information as regards to the electronic and vibrational properties, tube diameters, wall-to-wall distances, radial breathing mode, and G-band resonance evolutions as well as high-curvature intertube interactions in isolated double- and triple-Walled carbon Nanotube systems.
Abstract: The optical characterization of bundled and individual triple-walled carbon nanotubes was studied for the first time in detail by using resonant Raman spectroscopy. In our approach, the outer tube of a triple-walled carbon nanotube system protects the two inner tubes (or equivalently the inner double-walled carbon nanotube) from external environment interactions making them a partially isolated system. Following the spectral changes and line-widths of the radial breathing modes and G-band by performing laser energy dependent Raman spectroscopy, it is possible to extract important information as regards to the electronic and vibrational properties, tube diameters, wall-to-wall distances, radial breathing mode, and G-band resonance evolutions as well as high-curvature intertube interactions in isolated double- and triple-walled carbon nanotube systems.

Journal ArticleDOI
TL;DR: In this paper, the Penn State Center for Nanoscale Science (MRSEC; NSF grant number DMR-0820404), for a seed grant on defect engineering in layered materials, is grateful to the Japanese regional Innovation Strategy Program by the Excellence.
Abstract: M.T. thanks JST-Japan for funding the Research Center for Exotic NanoCarbons, under the Japanese regional Innovation Strategy Program by the Excellence. M.T. is grateful to the Penn State Center for Nanoscale Science (MRSEC; NSF grant number DMR-0820404), for a seed grant on “Defect Engineering in Layered Materials”. H.T. acknowledges support of CAPES, Brazil, through its Foreign Scientist Invited program. F.J.R.M., F.L.U., and E.M.S. acknowledge CONACYT (Mexico) grants CB-2008-SEP-107082, 60218-F1 and 48300 S-3907, respectively. X.J. and M.S.D. acknowledge the MURI grant ONR-N00014-09-1-1063. R.M.G. was supported by MCINN, project number FIS2009-12721-C04-01 and scholarship AGAUR “FI-DGR 2011”. This work was supported by CONACYT Ph.D. scholarships 223807 (J.O.M.) and 223824 (M.L.G.B.), as well as financial research support from PSU. J.O.M. thanks complementary support from the Graduate Complementary Scholarship program (DGRI-SEP, Mexico). B.G.S. was supported by the Center for Nanophase Materials Sciences (CNMS), sponsored at Oak Ridge National Laboratory by the Division of Scientifi c User Facilities, U.S. Department of Energy.

Journal ArticleDOI
28 Feb 2013-ACS Nano
TL;DR: Local interactions at the open edges are found to dictate stacking configurations that are different from Bernal (AB) stacking that are known to be otherwise absent in edge-free two-dimensional graphene.
Abstract: High-resolution transmission electron microscopy studies show the dynamics of small graphene platelets on larger graphene layers. The platelets move nearly freely to eventually lock in at well-defined positions close to the edges of the larger underlying graphene sheet. While such movement is driven by a shallow potential energy surface described by an interplane interaction, the lock-in position occurs via edge-edge interactions of the platelet and the graphene surface located underneath. Here, we quantitatively study this behavior using van der Waals density functional calculations. Local interactions at the open edges are found to dictate stacking configurations that are different from Bernal (AB) stacking. These stacking configurations are known to be otherwise absent in edge-free two-dimensional graphene. The results explain the experimentally observed platelet dynamics and provide a detailed account of the new electronic properties of these combined systems.

Journal ArticleDOI
TL;DR: A mass-related symmetry breaking in isotopically labeled bilayer graphene was investigated during in-situ electrochemical charging of AB stacked (AB-2LG) and turbostratic layers.
Abstract: A mass-related symmetry breaking in isotopically labeled bilayer graphene (2LG) was investigated during in-situ electrochemical charging of AB stacked (AB-2LG) and turbostratic (t-2LG) layers. The overlap of the two approaches, isotopic labeling and electronic doping, is powerful tool and allows to tailor, independently and distinctly, the thermal-related and transport-related phenomena in materials, since one can impose different symmetries for electrons and phonons in these systems. Variations in the system's phonon self-energy renormalizations due to the charge distribution and doping changes could be analyzed separately for each individual layer. Symmetry arguments together with first-order Raman spectra show that the single layer graphene (1LG), which is directly contacted to the electrode, has a higher concentration of charge carriers than the second graphene layer, which is not contacted by the electrode. These different charge distributions are reflected and demonstrated by different phonon self-energy renormalizations of the G modes for AB-2LG and for t-2LG.

Journal ArticleDOI
TL;DR: In this paper, the resonance between the G-band phonon excitation and Landau level optical transitions in graphene has been systematically studied by micromagneto Raman mapping.
Abstract: The resonance between the G-band phonon excitation and Landau level optical transitions in graphene has been systematically studied by micromagneto Raman mapping. In purely decoupled graphene regions on a graphite substrate, eight traces of anticrossing spectral features with G-mode peaks are observed as a function of magnetic fields up to 9 T, and these traces correspond to either symmetric or asymmetric Landau level transitions. Three distinct split peaks of the G mode, named ${G}_{\ensuremath{-}}$, ${G}_{i}$, and ${G}_{+}$, are observed at the strong magnetophonon resonance condition corresponding to a magnetic field of \ensuremath{\sim}4.65 T. These three special modes are attributed to (i) the coupling between the G phonon and the magneto-optical transitions, which is responsible for ${G}_{+}$ and ${G}_{\ensuremath{-}}$ and can be well described by the two coupled mode model and (ii) the magnetic field-dependent oscillation of the ${G}_{i}$ band, which is currently explained by the G band of graphite modified by the interaction with ${G}_{+}$ and ${G}_{\ensuremath{-}}$. The pronounced interaction between Dirac fermions and phonons demonstrates a dramatically small Landau level width (\ensuremath{\sim}1.3 meV), which is a signature of the ultrahigh quality graphene obtained on the surface of graphite.

Journal ArticleDOI
TL;DR: In this paper, a thermal annealing-induced variation of the interlayer spacing from 0.385 to 0.339 nm allowed the authors to study the change in the electronic and transport properties of the scrolled tubes.
Abstract: We have demonstrated the ability to control the interlayer spacing of scrolled reduced graphene nanotubes through a high-temperature thermal treatment. The thermal annealing-induced variation of the interlayer spacing from 0.385 to 0.339 nm allowed us to study the change in the electronic and transport properties of the scrolled tubes.



Journal Article
TL;DR: In this article, the authors discuss current research and some future prospects for this area of layered nanomaterials and discuss the potential of this area in the field of nanomedicine.
Abstract: With the actual experimental realization of graphene samples, it became possible not only to exploit the special physical properties of graphene but also to exploit its technological applications. As the field developed, the discovery of other 2D materials occurred and this opened up access to a plethora of combinations of a large variety of electrical, optical, mechanical, and chemical properties. Now there are large investments being made around the world to develop the graphene research area and to boost graphene use in technology. Here, we discuss current research and some future prospects for this area of layered nanomaterials.

Book ChapterDOI
01 May 2013
TL;DR: The ability of carbon atoms to create multiple orbital hybridizations (e.g., sp, sp2, or sp3) provides the possibility to synthesize one-, two-, and three-dimensional carbon nano-nodes as discussed by the authors.
Abstract: The fascinating characteristic of carbon atoms to create multiple orbital hybridizations (e.g., sp, sp2, or sp3) provides the possibility to synthesize one-, two-, and three-dimensional carbon nano ...

Journal ArticleDOI
TL;DR: The authors regret that previous work reporting the production of aerogels from nanotubes was not properly acknowledged and cited in the paper.
Abstract: Scientific Reports 2, Article number: 849 10.1038/srep00849 (2012); Published: November142012; Updated: March082013 The authors regret that previous work reporting the production of aerogels from nanotubes was not properly acknowledged and cited in our paper. These references appear below1,2,3. Reference 1 was referenced in the published paper (reference 29), but was only cited to compare the aerogel properties instead of acknowledging what has already been studied.

Journal ArticleDOI
TL;DR: In this article, the authors discuss how excitons can affect the generation of coherent radial breathing modes in the ultrafast spectroscopy of single-wall carbon nanotubes.
Abstract: We discuss how excitons can affect the generation of coherent radial breathing modes in the ultrafast spectroscopy of single-wall carbon nanotubes. Photoexcited excitons can be localized spatially and give rise to a spatially distributed driving force in real space which involves many phonon wave vectors of the exciton-phonon interaction. The equation of motion for the coherent phonons is modeled phenomenologically by the Klein-Gordon equation, which we solve for the oscillation amplitudes as a function of space and time. By averaging the calculated amplitudes per nanotube length, we obtain time-dependent coherent phonon amplitudes that resemble the homogeneous oscillations that are observed in some pump-probe experiments. We interpret this result to mean that the experiments are only able to see a spatial average of coherent phonon oscillations over the wavelength of light in carbon nanotubes and the microscopic details are averaged out. Our interpretation is justified by calculating the time-dependent absorption spectra resulting from the macroscopic atomic displacements induced by the coherent phonon oscillations. The calculated coherent phonon spectra including excitonic effects show the experimentally observed symmetric peaks at the nanotube transition energies, in contrast to the asymmetric peaks that would be obtained if excitonic effects were not included.

Journal ArticleDOI
TL;DR: In this article, the influence of the gradual polarization of a ferroelectric polymer on isotopically labeled bi-layer graphene has been investigated by Raman spectroscopy, where the Raman frequencies of the 13C graphene modes were downshifted with respect to the 12C modes of 12C graphene.
Abstract: The influence of the gradual polarization of a ferroelectric polymer on isotopically labeled bi-layer graphene has been investigated by Raman spectroscopy. The Raman frequencies of the 13C graphene modes are downshifted with respect to the Raman frequencies of 12C graphene, which enabled us to study the individual layer components of bi-layer graphene. The polarization of the ferroelectric polymer has a similar influence on the electron and hole concentration at the 13C graphene and the 12C graphene layer despite the 13C graphene layer being only in direct contact with the ferroelectric polymer. In the Raman experiment the doping of graphene was confirmed by a similar frequency shift of the G modes and similar changes in the intensities of the G′ modes during the electrochemical charging of the ferroelectric polymer.

Journal ArticleDOI
TL;DR: In this paper, the two outermost and then the two inner nanotubes of adjacent triple walled carbon nanotube (TWNTs) merged in order to create an enlarged flattened double-walled carbon network.
Abstract: Coalescing carbon nanotubes is a major challenge for designing structures with novel physical and chemical properties and for creating three-dimensional carbon networks with improved mechanical and transport properties. We have coalesced adjacent triple walled carbon nanotubes (TWNTs) covalently, using catalytic boron atoms at high temperatures. The two outermost and then the two inner nanotubes of adjacent TWNTs merged in order to create an enlarged flattened double-walled carbon nanotube which encapsulated the two innermost single-walled carbon nanotubes.


Journal Article
TL;DR: In this paper, the authors discuss how excitons can affect the generation of coherent radial breathing modes in the ultrafast spectroscopy of single-wall carbon nanotubes.
Abstract: We discuss how excitons can affect the generation of coherent radial breathing modes in the ultrafast spectroscopy of single-wall carbon nanotubes. Photoexcited excitons can be localized spatially and give rise to a spatially distributed driving force in real space which involves many phonon wave vectors of the exciton-phonon interaction. The equation of motion for the coherent phonons is modeled phenomenologically by the Klein-Gordon equation, which we solve for the oscillation amplitudes as a function of space and time. By averaging the calculated amplitudes per nanotube length, we obtain time-dependent coherent phonon amplitudes that resemble the homogeneous oscillations that are observed in some pump-probe experiments. We interpret this result to mean that the experiments are only able to see a spatial average of coherent phonon oscillations over the wavelength of light in carbon nanotubes and the microscopic details are averaged out. Our interpretation is justified by calculating the time-dependent absorption spectra resulting from the macroscopic atomic displacements induced by the coherent phonon oscillations. The calculated coherent phonon spectra including excitonic effects show the experimentally observed symmetric peaks at the nanotube transition energies, in contrast to the asymmetric peaks that would be obtained if excitonic effects were not included.