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Showing papers on "Variable-range hopping published in 1991"


Book
01 Jan 1991
TL;DR: In this article, Hopping conduction in the critical regime approaching the metal-insulator transition (T.G. Castner) and in the band tails far from equilibrium (D.A. Monroe).
Abstract: Preface. 1. Hopping conduction in the critical regime approaching the metal-insulator transition (T.G. Castner). 2. Hopping in band tails far from equilibrium (D. Monroe). 3. Non-Ohmic microwave hopping conductivity (Yu.M. Galperin, V.L. Gurevich and D.A. Parshin). 4. Thermal conduction due to hopping processes in amorphous solids (A. Jagannathan, R. Orbach and O. Entin-Wohlman). 5. The hopping thermopower (I.P. Zvyagin). 6. Slow processes in disordered solids (M. Pollak and A. Hunt). 7. Hopping conductivity in the intermediate frequency regime (A.R. Long). 8. Hopping in mesoscopic samples (A.B. Fowler, J.J. Wainer and R.A. Webb). 9. Scattering and interference effects in variable range hopping conduction (B.I. Shklovskii and B.Z. Spivak). 10. Hopping conduction in III-V compounds (R. Mansfield). 11. Hopping conduction in electrically conducting polymers (S. Roth). 12. Hopping conduction in heavily doped semiconductors (A.N. Ionov and I.S. Shlimak). Author index. Subject index. Cumulative index.

327 citations


Journal ArticleDOI
TL;DR: In this article, the authors investigated the electrical conduction mechanism of polypyrrole films containing various counter ions and showed that the conduction is dominated more strongly by tunneling than by hopping in a lower temperature region.

109 citations


Journal ArticleDOI
TL;DR: It is shown that quantum tunneling of vortices leads to a variable-range-hopping resistivity with a non-Arrhenius temperature dependence at low {ital T}, and Mott's 1/3 law is modified by long-range vortex interactions.
Abstract: We study both classical and quantum vortex creep in disordered thin-film superconductors in an applied magnetic field. Quantum tunneling of vortices leads to a variable-range-hopping resistivity with a non-Arrhenius temperature dependence at low T. Mott's 1/3 law is modified by long-range vortex interactions, and a numerical analysis enables us to estimate a temperature exponent between roughly 2/3 and 4/5. At higher T, a classical hopping regime is expected with a current-density scale for nonlinearities varying (roughly) as ${\mathit{T}}^{3}$.

83 citations



Journal ArticleDOI
TL;DR: In this article, the temperature dependence of the resistivity of PrBa 2 Cu 3 O 7−δ (δ ≤.04) was measured and it was shown that variable range hopping is the dominant conduction mechanism in this material.
Abstract: Measurements of the temperature dependence of the resistivity of PrBa 2 Cu 3 O 7−δ (δ ≤ .04) show that variable range hopping is the dominant conduction mechanism in this material below room temperature. This result was found for epitaxial as well as for ceramic samples of this material. The dimensionality of the process could not as yet be determined.

51 citations


Journal ArticleDOI
TL;DR: The orbital mechanism of negative magnetoresistance of variable-range-hopping conductivity is reconsidered by numerical simulations and qualitative arguments and implications to transport properties on the dielectric side of the superconductor-insulator transition are discussed.
Abstract: The orbital mechanism of negative magnetoresistance of variable-range-hopping conductivity is reconsidered by numerical simulations and qualitative arguments. At small magnetic fields the positive magnetic-field corrections to the localization length in two-dimensional samples are universal in the sense that they are independent of the details of the scattering potential (impurity concentration, amplitude of scattering, and proximity to the metal-insulator transition). Implications of these results to transport properties on the dielectric side of the superconductor-insulator transition are discussed.

48 citations


Journal ArticleDOI
TL;DR: In this article, it was shown that polyanilines differ from polyacetylene, polythiophene, polypyrrole, polydiacetylene, and other polymers in that their electronic structure is based on the overlap of alternating nitrogen atoms and C6 rings.
Abstract: Polyanilines have been known for over one hundred years. Recent studies of this chemically flexible polymer have demonstrated unusual chemical, electrical, and optical phenomena, both in insulating forms and conducting forms. The polyanilines differ substantially from earlier studied polyacetylene, polythiophene, polypyrrole, polydiacetylene, and other polymers in that their electronic structure is based on the overlap of alternating nitrogen atoms and C6 rings. Two classes of the emeraldine form of polyaniline are distinguished by preparation route and crystal structure. For both classes, the Pauli susceptibility indicative of metallic state is correlated with the formation of a three-dimensionally crystalline region. Charge conduction studies of oriented films and fibers demonstrate that three-dimensional order between chains is critical for high conductivities. Within the crystalline regions the conduction electrons are substantially delocalized in three-dimensions while the dc transport is dominated by quasi-one-dimensional variable range hopping in the disordered regions. This delocalized charge leads to high absorbance (loss) at microwave frequencies, important for a broad range of applications. The ability to derivatize polyaniline at ring and nitrogen positions allows one to test concepts for the control of conductivity as well as improved processing. The monomethyl derivative, poly(orthotoluidine), has nearly identical electronic structure and crystal structure, yet its conductivity is three orders of magnitude lower than that of emeraldine hydrochloride. This is attributed to increased interchain separation and decreased interchain correlation causing 1-D localization. Similar 1-D localization is observed in the self-doped sulfonated polyaniline system. Extensive photoinduced optical studies of the insulating base forms of polyaniline show the importance of ring rotation in stabilizing photoexcited positive polarons. Long-lived photoinduced absorptions are observed which are suggested to be a possible basis for erasable optical information storage technology.

40 citations



Journal ArticleDOI
TL;DR: In this paper, the polymers PET, PAN, PES and PEEK were implanted with ions of He, B, C, N, Ar and As at an energy of 50 keV.
Abstract: The polymers PET, PAN, PES and PEEK were implanted with ions of He, B, C, N, Ar and As at an energy of 50 keV. PEEK was implanted with I at 22.5 MeV, Xe at 24 MeV, and Ni at 47 MeV. Surface resistivity for electrical conduction indicated a plateau effect in the dose range 1016–1017 ions/cm2. The more aliphatic polymer, PET, indicated the lowest resistance of the low energy implants. The high energy ions produced much lower resistivities at much lower doses. The temperature dependence of the resistivities indicate a quasi-one-dimensional variable range hopping mechanism for electrical conduction.

37 citations


Journal ArticleDOI
TL;DR: In this paper, the authors measured the conductivity of tridecylmethylammonium-Au(dmit) films for 300-4 K and found that the conductivities after electrochemical oxidation are 30-50 S/cm at room temperature, increasing with decreasing temperature, and beginning to decrease at about 200 K.
Abstract: Electronic transport measurements are reported for Langmuir-Blodgett (LB) films of tridecylmethylammonium-Au(dmit)2 for 300-4 K. The conductivity after electrochemical oxidation is 30-50 S/cm at room temperature, increases with decreasing temperature, and begins decrease at about 200 K. The conductivity at lower temperatures is explained by two-dimensional variable range hopping (2D VRH). The thermoelectric power (S) is positive and well fitted by a linear combination of the temperature dependence of 2D VRH (Sv\proptT1/3) and that of metal (Sm\proptT). These results can be explained by a model in which highly conductive metallic regions are separated by thin weakly conductive regions. The UV/visible absorption spectra and the X-ray diffraction patterns indicate that a large structural change occurs accompanied by electrochemical oxidation.

36 citations


Journal ArticleDOI
TL;DR: La dependance de the magnetoresistance negative vis-a-vis de the temperature est observee pour tous les echantillons, independamment du fait that la resistivite a champ nul indique un saut de Mott ou un sauts a distance variable en presence d'une bande interdite coulombienne.
Abstract: La dependance de la magnetoresistance negative vis-a-vis de la temperature est observee pour tous les echantillons, independamment du fait que la resistivite a champ nul indique un saut de Mott ou un saut a distance variable en presence d'une bande interdite coulombienne. Implications phenomenologiques de ces observations

Journal ArticleDOI
TL;DR: In this paper, a new theory for the frequency-dependent conductivity of variable range hopping (VRH) systems is presented, where local relaxation processes dominate at high frequencies, non-local processes at low frequencies.
Abstract: A new theory for the frequency-dependent conductivity of variable range hopping (VRH) systems is presented The physical basis of the theory is that local relaxation processes dominate at high frequencies, non-local processes at low frequencies The loss peak in the imaginary part of the dielectric constant represents the onset of percolation, defining approximately the boundary between these two regimes At high frequencies, the pair approximation is modified to allow the density of contributing pairs to be frequency dependent At lower frequencies, a cluster expansion consistent with percolation theory is used to calculate σ(ω) The relaxation times of clusters of impedances are strongly enhanced through the necessity to transport a large amount of charge over large distances The theory gives the correct analytical expressions for the frequency and the temperature dependence of σ(ω) in every frequency regime, and the pair approximation joins smoothly on to the low-frequency results at the loss


Journal ArticleDOI
TL;DR: In this article, the electrical resistivity, the Seebeck-coefficient and the magnetic susceptibility of samples (La1−xSrx)2NiO4+δ in the concentration range 0 ≤ χ ≤ 0.5 were reported.
Abstract: We report measurements of the electrical resistivity, the Seebeck-coefficient and the magnetic susceptibility of samples (La1−xSrx)2NiO4+δ in the concentration range 0 ≤ χ ≤ 0.5. All compounds exhibit semiconducting behaviour at low temperatures with thermally activated or variable range hopping type of conductivity. The comparison of the temperature dependence of the conductivity and the Seebeck-coefficient reveals the polaron character of the charge carriers. From the susceptibility measurements at high temperatures we derive an exchange interaction Jaf≈ 140 K for the NiO2-planes in La2NiO4. We develop a magnetic phase diagram for (La1−xSrx)2NiO4 with an antiferromagnetic range for x≤0.04 and a spin glass range for x > 0.04. The results are discussed in comparison with those of the high temperature superconducting system (La1−xSrx)2CuO4.

Proceedings ArticleDOI
01 Jul 1991
TL;DR: In this paper, general concepts of hopping-type transport and localization are reviewed, including disorder, electronic correlations and atomic displacements, effects ignored in electronic band structure calculations, foster localization of electronic charge carriers.
Abstract: General concepts of hopping‐type transport and localization are reviewed Disorder, electronic correlations and atomic displacements, effects ignored in electronic band structure calculations, foster localization of electronic charge carriers Examples are given that illustrate the efficacy of these effects in producing localization This introduction is followed by a brief discussion of the relation between hopping‐type transport and localization The fundamentals of the formation, localization, and hopping transport of small polarons and/or bipolarons is then described Electronic transport in boron carbides is presented as an example of the adiabatic hopping of small bipolarons Finally, the notion of vibrational hopping is introduced The high‐temperature thermal diffusion in boron carbides is presented as a potential application of this idea

Journal ArticleDOI
TL;DR: In this paper, Ni-Co-Mn-O spinel films have been prepared by rf magnetron sputtering and electrical resistivity measurements have been extended to 100 K. As-deposited and annealed films show significant differences in their electrical behavior.


Journal ArticleDOI
TL;DR: The thermally activated rates for high-temperature adiabatic and nonadiabatic small-(bi)polaron hopping are calculated for a generalization of Holstein's molecular-crystal model.
Abstract: The thermally activated rates for high-temperature adiabatic and nonadiabatic small-(bi)polaron hopping are calculated for a generalization of Holstein's molecular-crystal model. In the expanded model a carrier occupying a molecule is coupled to many molecular vibrational modes rather than to just the single vibrational mode envisioned in the original model. This generalization of the molecular-crystal model does not significantly affect the semiclassical small-(bi)polaron jump rates. In particular, for the generalized model the hopping activation energy becomes a sum of contributions associated with each of the vibrational modes to which the carrier is coupled. The vibrational frequency that is the preexponential factor for adiabatic small-(bi)polaron hopping is the square root of the sum of the squares of the vibrational frequencies weighted by their relative contributions to the net hopping activation energy.

Journal ArticleDOI
TL;DR: In this article, the effect of the energy-dependent model densities of states on the DC conductivity of the small-polaron hopping regime in disordered systems was investigated.
Abstract: The authors investigate the effect of the energy-dependent model densities of states on the DC conductivity of the small-polaron hopping regime in disordered systems. The DC conductivity behaviour is obtained for the high- and low-temperature cases, ignoring or taking into account correlations between bonds due to the energy of the common site.

Journal ArticleDOI
TL;DR: Amorphous hydrocarbon layers (a -C:H) prepared by plasma assisted chemical vapor deposition (PECVD) were investigated with respect to their possible semiconducting properties as mentioned in this paper.
Abstract: Amorphous hydrocarbon layers ( a -C:H) prepared by plasma assisted chemical vapor deposition (PECVD) were investigated with respect to their possible semiconducting properties. Cluster calculations were performed to confirm that a true band gap may be formed in these materials. Values corresponding to those derived from optical investigations were calculated. Electrical conductivity is in accordance with a variable range hopping mechanism over a large temperature range. Conductivity and gap width vary with the preparation conditions, but for the same bandgap, the conductivities of the nitrogen containing films were always lower than that of the pure hydrocarbon films. From this we conclude that doping resulting in a shift of the fermi level does not occur in the case of nitrogen.

Journal ArticleDOI
TL;DR: Measurements of the temperature and length dependence of the conductance of a wide two-dimensional electron gas in a strongly localized regime indicate that the conduction occurs via resonant tunneling below about 0.1 K and, at higher temperatures, via hopping through channels that contain more than one localized state.
Abstract: We report measurements of the temperature and length dependence of the conductance of a wide two-dimensional electron gas in a strongly localized regime. Our results indicate that the conduction occurs via resonant tunneling below about 0.1 K and, at higher temperatures, via hopping through channels that contain more than one localized state

Journal ArticleDOI
TL;DR: Dans la limite des impuretes trop petites, un potentiel d'impurete est decrit par une fonction generalisee, mais, contrairement a la fonctions δ dans the dimension superieure a 1 possede des energies propres finies.
Abstract: The hopping magnetoresistance R of a two-dimensional insulator with metallic impurities is considered. In sufficiently weak magnetic fields it increases or decreases depending on the impurity density n: It decreases if n is low and increases if n is high. In high magnetic fields B, it always exponentially increases with \ensuremath{\surd}B . Such fields yield a one-dimensional temperature dependence: lnR\ensuremath{\propto}1/ \ensuremath{\surd}T . The calculation provides an accurate leading approximation for small impurities with one eigenstate in their potential well. In the limit of infinitesimally small impurities, an impurity potential is described by a generalized function. This function, similar to a \ensuremath{\delta} function, is localized at a point, but, contrary to a \ensuremath{\delta} function in the dimensionality above 1, it has finite eigenenergies. Such functions may be helpful in the study of scattering and localization of any waves.

Journal ArticleDOI
TL;DR: Amorphous carbon films have been irradiated with Cl-ions with energies between 1 and 40 MeV, and the electrical conductivity of the material has been measured as a function of the ion dose as discussed by the authors.
Abstract: Amorphous carbon films have been irradiated with Cl-ions with energies between 1 and 40 MeV, and the electrical conductivity of the material has been measured as a function of the ion dose The room temperature conductivity is increased by nearly three orders of magnitude and saturates at a dose of about 10^(15)cm^(−2) The rate of conductivity change vs the ion energy can be explained by an ion track model The temperature dependence of the conductivity between 100 and 300 K at low doses is in accordance with variable range hopping with a temperature exponent of 1/2 Hopping sites are assumed to be graphite rings or microcrystallites At higher doses the variable range hopping is replaced by a metallic conductivity with a linear dependence on the temperature similar to that of polycrystalline graphite This is probably due to the formation of complete percolation paths through the material by interconnection of the graphite regions Estimates of the size of the crystallites, the hopping activation energy, and the cross section for producing crystallites in the material have been extracted

Journal ArticleDOI
TL;DR: In this paper, resistivity and thermoelectric power measurements of YBaCuO doped and undoped compounds in the semiconducting state were performed and it was shown that the substitution of Cu by Fe and Zn increases the activation energy with increasing concentration while variable-range hopping conduction is maintained.
Abstract: We report on resistivity and thermoelectric power measurements of YBaCuO doped and undoped compounds in the semiconducting state. The substitution of Cu by Fe and Zn increases the activation energy with increasing concentration while variable-range hopping conduction is maintained. In particular, it is found that Fe greatly affects the activation energy while Zn has a much smaller effect. Finally, our results suggest that the Cu(1) sites may be the hopping centers in YBa 2 Cu 3 O 6 .

Journal Article
TL;DR: In this article, a theory of the Hall effect under hopping conduction conditions is developed and general expressions are obtained to derive the Hall mobility μ H in specific cases such as variable-range-hopping and e 3 conduction.
Abstract: A theory of the Hall effect under hopping conduction conditions is developed. General expressions are obtained and these are used to derive the Hall mobility μ H in specific cases such as variable-range-hopping and e 3 conduction. An allowance is made of the effects of the electron-electron Coulomb correlations, leadidng to the appearance of a Coulomb gap. It is shown that under hopping conduction conditions the Hall effect has a correlation radius L H >>L, when L is the correlation radius of an infinite cluster governing the conductivity. In practice, the value of L H can exceed the dimensions of a sample, which gives rise to size effects

Journal ArticleDOI
TL;DR: The temperature dependence of ion-implanted Si:As, with impurity concentration about 10 % below the metal-insulator transition, is measured in the temperature range 0.1-4.2 K.

Journal ArticleDOI
D. Bourbie1
TL;DR: In this article, the electrical conductivity of disordered systems in the non-ohmic regime has been calculated using the Green function formalism of Movaghar et al. The isotropic and directed hopping cases are treated.
Abstract: The electrical conductivity of disordered systems in the non-ohmic regime has been calculated using the Green function formalism of Movaghar et al. The isotropic and directed hopping cases are treated. For the temperature-related behaviour, we find as particular cases the Mott ¼ and the ½ laws, and for the electrical-field-related behaviour, we find a general form that agrees with expressions in the literature.

Journal ArticleDOI
TL;DR: In this article, the average jump rate of superionic conductors is calculated by taking account of the average distribution of mobile ions at the nearest neighboring sites around the hopping ion after and before the hopping.
Abstract: The jump diffusion of interacting mobile ions in superionic conductors (SIC) is studied by the phonon-assisted hopping theory. The interacting mobile ions are described by the lattice gas model. In order to study the correlated hopping of mobile ions, we calculate the average jump rate taking account of the average distribution of mobile ions at the nearest neighboring sites around the hopping ion after and before the hopping. We find that the average jump rate is thermally activated and that its activation energy is low at high concentration of mobile ions. This suggests that a low activation energy of SIC is due to the mutual interaction of mobile ions.


Journal ArticleDOI
TL;DR: In this paper, the tridimensional variable range hopping is applied to highly oriented polyacetylene (HOPA) compounds to obtain higher electrical conductivities than those obtained from doped-unoriented compounds.