Quantum theory of transient transport in an interacting system of electrons, impurities, and phonons

Ting, C. S.; Nee, Tsu‐Wei

doi:10.1103/physrevb.33.7056

Cited by 45 publications

(14 citation statements)

References 24 publications

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“…of the system complex resistance e(o), which is equivalent to the relation obtained by Fourier-Laplace transforming the quantum generalized Langevin equation [4],…”

Section: Linear-response Theory and The Quantum Generalized Langevin mentioning

confidence: 99%

“…The time-dependent current density J ( t ) = e P ( t ) / m may be also obtained. In fact, for an electric field E which is turned on at t = 0, the ensemble-averaged Langevin equation, together with (5a), leads to [4]…”

Section: Linear-response Theory and The Quantum Generalized Langevin mentioning

confidence: 99%

“…Equations (12) are the central result of this approach as they lead to important physical consequences. What is implied in the two sets of equations (12) and (13) can be understood by comparing (12b) with (3a), and (13b) with (4). From this, we realize that ignoring the renormalization factor is the equivalent of assuming the duration r,, of the memory function Qel(t) to be much shorter than the time scale of the "ballistic" correlation YF,,(t) [lo], and, therefore, consider the system behavior only at times r, << t << r,.…”

Section: The Memory Functionmentioning

confidence: 99%

“…We restrict ourselves to the linear response theory [ 3 ] , and the effects of geometrical confinement are analyzed by the quantum generalized Langevin equation (GLE) [4] and memory function techniques [ 5 ] . This is a macroscopic approach which, while incorporating causality, is sufficiently general to treat the case of confined electron gases with both elastic and inelastic dissipation mechanisms.…”

Section: Introductionmentioning

confidence: 99%

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Non‐markovian behavior of quantum confined electronic systems

Bertoncini¹,

Mauser²

1996

Physica Status Solidi (b)

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The holomorphic memory function method is modified to include geometrical confinement. A 'ballistic memory function' is identified, showing that energy quantization due to lateral confinement is associated with a retardation in the system. Consequently, the ballistic conductance quantization of waveguides is shown to be caused by long-lived correlations between values of the applied field at different points in the device. A renormalized force correlation function shows the mutual influence of geometrical confinement and scattering mechanisms : confinement-induccd memory effects modify the elastic scattering white-relaxation spectrum and transform it into a scattering mechanism with enhanced retardation properties. Evidence of these phenomena is given through the numerical evaluation of the ac conductance and tirne-dependent current for a rectangular crosssection wire of finite length.

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“…of the system complex resistance e(o), which is equivalent to the relation obtained by Fourier-Laplace transforming the quantum generalized Langevin equation [4],…”

Section: Linear-response Theory and The Quantum Generalized Langevin mentioning

confidence: 99%

Section: Linear-response Theory and The Quantum Generalized Langevin mentioning

confidence: 99%

Section: The Memory Functionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Non‐markovian behavior of quantum confined electronic systems

Bertoncini¹,

Mauser²

1996

Physica Status Solidi (b)

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“…We preferred it because the collision term comes out of it naturally. Using the Langevin equation of holes, 19,20 we found the resistivity ͑ ͒ϭ 1…”

mentioning

confidence: 99%

Low-temperature resistivity of double-exchange interaction systems

2002

Phys. Rev. B

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Localization and interaction in two dimensions: The disordered Tomonaga model

Fastenrath

1992

Annalen der Physik

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The effect of electron-electron interactions on the localization behavior of two-dimensional disordered systems is investigated in the framework of a generalized version of Tomonaga's model. The main result is a closed expression for the dynamical conductivity which allows to predict the critical electron concentration below which localization sets in as a function of microscopic parameters only.Experimental verification is possible, although difficult.

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Quantum theory of transient transport in an interacting system of electrons, impurities, and phonons

Cited by 45 publications

References 24 publications

Non‐markovian behavior of quantum confined electronic systems

Non‐markovian behavior of quantum confined electronic systems

Low-temperature resistivity of double-exchange interaction systems

Localization and interaction in two dimensions: The disordered Tomonaga model

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