Perturbative Evidence of Nonuniversality in the Quantized Hall Conductivity of A  Disordered Relativistic 2D Electron Gas

We study a relativistic two-dimensional electron gas in the presence of a uniform external magnetic field and a random static scalar potential. We compute, in first order perturbation theory, the averages of the charge density and of the transverse conductivity for a white-noise potential, and show that, within this treatment, their quantized values are modified by the disorder.

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Dynamical correlations in a two-dimensional electron gas: First-order perturbation theory

Physical Review B ◽

10.1103/physrevb.25.2144 ◽

1982 ◽

Vol 25 (4) ◽

pp. 2144-2159 ◽

Cited By ~ 86

Author(s):

A. Czachor ◽

A. Holas ◽

S. R. Sharma ◽

K. S. Singwi

Keyword(s):

Perturbation Theory ◽

Electron Gas ◽

Order Perturbation ◽

Order Perturbation Theory ◽

Two Dimensional ◽

Dimensional Electron ◽

Two Dimensional Electron Gas ◽

First Order ◽

Dimensional Electron Gas ◽

First Order Perturbation

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Evidence for Ising Ferromagnetism and First-Order Phase Transitions in the Two-Dimensional Electron Gas

Statistical and Dynamical Aspects of Mesoscopic Systems - Lecture Notes in Physics ◽

10.1007/3-540-45557-4_31 ◽

2007 ◽

pp. 312-313

Author(s):

V. Piazza ◽

V. Pellegrini ◽

F. Beltram ◽

W. Wegscheider ◽

M. Bichler ◽

...

Keyword(s):

Phase Transitions ◽

Electron Gas ◽

Two Dimensional ◽

Dimensional Electron ◽

Two Dimensional Electron Gas ◽

First Order ◽

Dimensional Electron Gas ◽

First Order Phase

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THE LOW FREQUENCY EFFECTS OF TRANSVERSE CONDUCTIVITY OF ELECTRON IN LOCALIZED STATE OF THE TWO DIMENSIONAL ELECTRON GAS IN MOS INVERSION LAYER UNDER THE CONDITION OF QUANTIZED LIMIT

Acta Physica Sinica ◽

10.7498/aps.36.411 ◽

1987 ◽

Vol 36 (4) ◽

pp. 411

Author(s):

Zhao Leng-zhu

Keyword(s):

Inversion Layer ◽

Electron Gas ◽

Low Frequency ◽

Two Dimensional ◽

Dimensional Electron ◽

Two Dimensional Electron Gas ◽

Frequency Effects ◽

Localized State ◽

Transverse Conductivity ◽

Dimensional Electron Gas

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Hysteresis and first-order phase transition in the two-dimensional electron gas

Physica E Low-dimensional Systems and Nanostructures ◽

10.1016/s1386-9477(99)00068-5 ◽

2000 ◽

Vol 6 (1-4) ◽

pp. 108-111 ◽

Cited By ~ 2

Author(s):

Vincenzo Piazza ◽

Vittorio Pellegrini ◽

Fabio Beltram ◽

Werner Wegscheider ◽

M Bichler ◽

...

Keyword(s):

Phase Transition ◽

Order Phase Transition ◽

Electron Gas ◽

Two Dimensional ◽

Dimensional Electron ◽

Two Dimensional Electron Gas ◽

First Order ◽

First Order Phase Transition ◽

Dimensional Electron Gas ◽

First Order Phase

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Second Order Solutions of THz Response of Gated Two-Dimensional Electron Gas in Magnetic Field

Frequenz ◽

10.1515/freq-2017-0271 ◽

2018 ◽

Vol 72 (9-10) ◽

pp. 471-477 ◽

Cited By ~ 1

Author(s):

Daipeng Wang ◽

Jiuxun Sun ◽

Chao Yang ◽

Yan Dong ◽

Zhenlin Yan

Keyword(s):

Magnetic Field ◽

Electron Gas ◽

Second Order ◽

Two Dimensional ◽

Dimensional Electron ◽

Two Dimensional Electron Gas ◽

First Order ◽

Order Solution ◽

Dimensional Electron Gas ◽

Second Order Equations

Abstract In this work, the Lifshits-Dyakonov theory for THz response of gated two-dimensional electron gas in magnetic field are analyzed and improved. Instead an approximate processing method for the response in original theory to the second order solution, the second order equations are strictly solved. The numerical results show that both first and second order solutions are damped oscillating functions of coordinate, but all amplitudes would decrease as magnetic field B increasing except for the first order solution of voltage. The variation of second order response as a function of B also shows damped oscillating variations, the agreement with experimental curves is reasonable.

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