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Book ChapterDOI

Principles of the Theory of Solids: Periodic Structures

01 Jan 1972-
About: The article was published on 1972-01-01. It has received 32 citations till now.
Citations
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Journal ArticleDOI
28 Mar 2011-ACS Nano
TL;DR: Using density functional theory coupled with Boltzmann transport equation with relaxation time approximation, the electronic structure is investigated and the charge mobility for a new carbon allotrope, the graphdiyne for both the sheet and nanoribbons is predicted.
Abstract: Using density functional theory coupled with Boltzmann transport equation with relaxation time approximation, we investigate the electronic structure and predict the charge mobility for a new carbon allotrope, the graphdiyne for both the sheet and nanoribbons. It is shown that the graphdiyne sheet is a semiconductor with a band gap of 0.46 eV. The calculated in-plane intrinsic electron mobility can reach the order of 10(5) cm(2)/(V s) at room temperature, while the hole mobility is about an order of magnitude lower.

791 citations

Journal ArticleDOI
TL;DR: The time-resolved reflectivity in the intensely photoexcited Bi film is modulated by the coherent A(1g) phonon oscillation with a time-dependent oscillation period, which is attributed to an anharmonicity of the lattice potential.
Abstract: We have investigated the dynamical properties of the coherent anharmonic phonons generated in Bi under high density excitation. The time-resolved reflectivity in the intensely photoexcited Bi film is modulated by the coherent A(1g) phonon oscillation with a time-dependent oscillation period. As the pump power density is increased, the line shape of the A(1g) mode in the Fourier transformed spectra becomes asymmetric, and the redshift of the phonon frequency is observed. Analysis of the transient redshift with a wavelet transform reveals that the frequency of the A(1g) mode depends on the squared amplitude of the oscillation, which is attributed to an anharmonicity of the lattice potential.

191 citations


Cites background from "Principles of the Theory of Solids:..."

  • ...According to the Lindeman melting criterion [18], melting of solids would occur when the displacement of each atom exceeds 10% of the mean atomic radius, e....

    [...]

Journal ArticleDOI
TL;DR: In this paper, the design of a tunneling FET with III-V-based tunnel heterojunctions for operation in digital circuits with supply voltages as low as 0.3 V is presented.
Abstract: This letter presents the design of a tunneling FET with III-V-based tunnel heterojunctions for operation in digital circuits with supply voltages as low as 0.3 V. A representative implementation is predicted to achieve an on-state current drive of 0.4 mA/?m with an off-state current of 50 nA/?m. Comparison with homojunction counterparts reveals that the hetero-tunnel-junction implementations may address better the design tradeoff between on-state drive and off-state leakage.

127 citations


Cites methods from "Principles of the Theory of Solids:..."

  • ...The tunneling probability is obtained with a two-band model [15] and WKB approximation, where the evanescent wave vector and the tunneling probability are given by (1), shown at the bottom of the page, and...

    [...]

Journal ArticleDOI
TL;DR: In this paper, the Hartree-Fock model was used to prove the existence of the thermodynamic limit for the energy per unit volume in the reduced Hartree Fock model.
Abstract: We continue here our study [10–13] of the thermodynamic limit for various models of Quantum Chemistry, this time focusing on the Hartree–Fock type models. For the reduced Hartree–Fock models, we prove the existence of the thermodynamic limit for the energy per unit volume. We also define a periodic problem associated to the Hartree–Fock model, and prove that it is well-posed.

124 citations


Cites background from "Principles of the Theory of Solids:..."

  • ...We only mention some references here, namely [23,42], and also [2,6,9,40,43,48,49,57]....

    [...]

Journal ArticleDOI
23 May 2003-Science
TL;DR: Electric deflections of gas-phase, cryogenically cooled, neutral niobium clusters show that cold clusters may attain an anomalous component with very large electric dipole moments, in contrast to room-temperature measurements show normal metallic polarizabilities.
Abstract: Electric deflections of gas-phase, cryogenically cooled, neutral niobium clusters [NbN; number of atoms (N) = 2 to 150, temperature (T) = 20to 300kelvin], measured in molecular beams, show that cold clusters may attain an anomalous component with very large electric dipole moments. In contrast, room-temperature measurements show normal metallic polarizabilities. Characteristic energies kBTG(N) [Boltzmann constant kB times a transition temperature TG(N)] are identified, below which the ferroelectric-like state develops. Generally, TG decreases [110 > TG(N) > 10K] as N increases, with pronounced even-odd alternations for N > 38. This new state of metallic matter may be related to bulk superconductivity.

107 citations


Cites background from "Principles of the Theory of Solids:..."

  • ...TFETs have been developed on the basis of compound wide–band gap semiconductors such as GaN (2) and SiC (3)....

    [...]

  • ...In fact, a dipole density on the order of 1 D per atom generates an average internal electric field on the order of 10(6) V/cm, which clearly cannot occur in metals: Conduction electrons will neutralize these fields (3)....

    [...]

  • ...connection with superconductivity (3)....

    [...]

  • ...semiconductors such as GaN (2) and SiC (3)....

    [...]

  • ...The induced dipole causes the average internal electric field to vanish, as it does for bulk metals (3)....

    [...]

References
More filters
Journal ArticleDOI
28 Mar 2011-ACS Nano
TL;DR: Using density functional theory coupled with Boltzmann transport equation with relaxation time approximation, the electronic structure is investigated and the charge mobility for a new carbon allotrope, the graphdiyne for both the sheet and nanoribbons is predicted.
Abstract: Using density functional theory coupled with Boltzmann transport equation with relaxation time approximation, we investigate the electronic structure and predict the charge mobility for a new carbon allotrope, the graphdiyne for both the sheet and nanoribbons. It is shown that the graphdiyne sheet is a semiconductor with a band gap of 0.46 eV. The calculated in-plane intrinsic electron mobility can reach the order of 10(5) cm(2)/(V s) at room temperature, while the hole mobility is about an order of magnitude lower.

791 citations

Journal ArticleDOI
TL;DR: The time-resolved reflectivity in the intensely photoexcited Bi film is modulated by the coherent A(1g) phonon oscillation with a time-dependent oscillation period, which is attributed to an anharmonicity of the lattice potential.
Abstract: We have investigated the dynamical properties of the coherent anharmonic phonons generated in Bi under high density excitation. The time-resolved reflectivity in the intensely photoexcited Bi film is modulated by the coherent A(1g) phonon oscillation with a time-dependent oscillation period. As the pump power density is increased, the line shape of the A(1g) mode in the Fourier transformed spectra becomes asymmetric, and the redshift of the phonon frequency is observed. Analysis of the transient redshift with a wavelet transform reveals that the frequency of the A(1g) mode depends on the squared amplitude of the oscillation, which is attributed to an anharmonicity of the lattice potential.

191 citations

Journal ArticleDOI
TL;DR: In this paper, the design of a tunneling FET with III-V-based tunnel heterojunctions for operation in digital circuits with supply voltages as low as 0.3 V is presented.
Abstract: This letter presents the design of a tunneling FET with III-V-based tunnel heterojunctions for operation in digital circuits with supply voltages as low as 0.3 V. A representative implementation is predicted to achieve an on-state current drive of 0.4 mA/?m with an off-state current of 50 nA/?m. Comparison with homojunction counterparts reveals that the hetero-tunnel-junction implementations may address better the design tradeoff between on-state drive and off-state leakage.

127 citations

Journal ArticleDOI
TL;DR: In this paper, the Hartree-Fock model was used to prove the existence of the thermodynamic limit for the energy per unit volume in the reduced Hartree Fock model.
Abstract: We continue here our study [10–13] of the thermodynamic limit for various models of Quantum Chemistry, this time focusing on the Hartree–Fock type models. For the reduced Hartree–Fock models, we prove the existence of the thermodynamic limit for the energy per unit volume. We also define a periodic problem associated to the Hartree–Fock model, and prove that it is well-posed.

124 citations

Journal ArticleDOI
23 May 2003-Science
TL;DR: Electric deflections of gas-phase, cryogenically cooled, neutral niobium clusters show that cold clusters may attain an anomalous component with very large electric dipole moments, in contrast to room-temperature measurements show normal metallic polarizabilities.
Abstract: Electric deflections of gas-phase, cryogenically cooled, neutral niobium clusters [NbN; number of atoms (N) = 2 to 150, temperature (T) = 20to 300kelvin], measured in molecular beams, show that cold clusters may attain an anomalous component with very large electric dipole moments. In contrast, room-temperature measurements show normal metallic polarizabilities. Characteristic energies kBTG(N) [Boltzmann constant kB times a transition temperature TG(N)] are identified, below which the ferroelectric-like state develops. Generally, TG decreases [110 > TG(N) > 10K] as N increases, with pronounced even-odd alternations for N > 38. This new state of metallic matter may be related to bulk superconductivity.

107 citations