Velocity Acquired by an Electron in a Finite Electric Field in a Polar Crystal

Thornber, K.K.; Feynman, Richard P.

doi:10.1103/physrevb.1.4099

Cited by 278 publications

(103 citation statements)

References 12 publications

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“…It is well known that the balance equation approach is a powerful tool in studying the nonlinear response of an electronic device to the dc and ac fields applied. In a pioneering work, 14 Thornber and Feynman ͑TF͒ derived a momentum-balance equation to determine the nonlinear v-E relation in a strong polar semiconductor by using path integrals. Peeters and Devreese have shown 15 that the electron distribution in the approach of the TF theory was essentially a displaced Maxwellian.…”

Section: Modelmentioning

confidence: 99%

Nonlinear transport in steady-state terahertz-driven two-dimensional electron gases

Zhang

1997

Phys. Rev. B

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We present a detailed theoretical study on nonlinear transport and optical properties in two-dimensional semiconductor systems ͑2DSS's͒ subjected to intense terahertz electromagnetic fields. By solving the momentum-and energy-balance equations using a steady-state Boltzmann equation approach, where electron interaction with LO phonons is taken into account under the lowest-order approximation for GaAs-based 2DSS's, we have investigated the dependence of electron temperature, momentum relaxation time, and conductivity on the intensity and frequency of THz radiation fields. The results obtained from this study are in line with those obtained from recent experimental measurements ͓N. G. Asmar et al., Appl. Phys. Lett. 68, 829 ͑1996͔͒. ͓S0163-1829͑97͒04308-7͔

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Section: Modelmentioning

confidence: 99%

Nonlinear transport in steady-state terahertz-driven two-dimensional electron gases

Zhang

1997

Phys. Rev. B

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“…Thus electrons and phonons are likely to be resonantly coupled also to form vibronic states [23,27]. For such a system the adiabatic approximation would not be valid, making the theoretical treatment difficult [28]. It may be argued that such a strong electron-phonon coupling is incompatible with the high normal state conductivity, but the conductivity is dominated by the light carriers in the vicinity of the X ([0.25, 0.251) point, and the contribution from the M point may be totally masked.…”

Section: Pair-scat T Ering Scenariomentioning

confidence: 99%

Low temperature anomaly of LO phonons in La[sub 1.85]Sr[sub 0.15]CuO[sub 4] and YBa[sub 2]Cu[sub 3]O[sub 7]

Egami¹,

McQueeney²,

Petrov³

et al. 1999

AIP Conference Proceedings

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“…This possible inconsistency was sometimes used to estimate the correctness of the results obtained (Thornber and Feynman, 1970). It is therefore desired to build the macroscopic conservation laws into the structure of the approximation used.…”

Section: B Derivation Of Kinetic Momentum Continuity Equationsmentioning

confidence: 99%

A Wigner Quasi-distribution Function for Charged Particles in Classical Electromagnetic Fields

Levanda¹,

Fleurov²

2001

Annals of Physics

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A gauge-invariant Wigner quasi-distribution function for charged particles in classical electromagnetic fields is derived in a rigorous way. Its relation to the axial gauge is discussed, as well as the relation between the kinetic and canonical momenta in the Wigner representation. Gauge-invariant quantum analogs of Hamilton-Jacobi and Boltzmann kinetic equations are formulated for arbitrary classical electromagnetic fields in terms of the 'slashed' derivatives and momenta, introduced for this purpose. The kinetic meaning of these slashed quantities is discussed. We introduce gaugeinvariant conditional moments and use them to derive a kinetic momentum continuity equation. This equation provides us with a hydrodynamic representation for quantum transport processes and a definition of the 'collision force'. The hydrodynamic equation is applied for the rotation part of the electron motion. The theory is illustrated by its application in three examples. These are: Wigner quasi-distribution function and equations for an electron in a magnetic field and harmonic potential; Wigner quasi-distribution function for a charged particle in periodic systems using the kq representation; two Wigner quasi-distribution functions for heavy-mass polaron in an electric field.

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Velocity Acquired by an Electron in a Finite Electric Field in a Polar Crystal

Cited by 278 publications

References 12 publications

Nonlinear transport in steady-state terahertz-driven two-dimensional electron gases

Nonlinear transport in steady-state terahertz-driven two-dimensional electron gases

Low temperature anomaly of LO phonons in La[sub 1.85]Sr[sub 0.15]CuO[sub 4] and YBa[sub 2]Cu[sub 3]O[sub 7]

A Wigner Quasi-distribution Function for Charged Particles in Classical Electromagnetic Fields

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