Residual resistance in a two-dimensional electron system: A phenomenological approach

Developments in the physics of 2D electron systems during the last decade revealed a new class of nonequilibrium phenomena in the presence of a moderately strong magnetic field. The hallmark of these phenomena is magnetoresistance oscillations generated by the external forces that drive the electron system out of equilibrium. The rich set of dramatic phenomena of this kind, discovered in high mobility semiconductor nanostructures, includes, in particular, microwave radiation-induced resistance oscillations and zero-resistance states, as well as Hall field-induced resistance oscillations and associated zero-differential resistance states. The experimental manifestations of these phenomena and the unified theoretical framework for describing them in terms of a quantum kinetic equation are reviewed. This survey also contains a thorough discussion of the magnetotransport properties of 2D electrons in the linear-response regime, as well as an outlook on future directions, including related nonequilibrium phenomena in other 2D electron systems.

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“…A further step forward in the study of the ZRS was done by Bergeret et al (2003); Volkov and Pavlovskii (2004) who included on the r.h.s. of Eq.…”

Section: Zrs Effective Theory: Spontaneous Symmetry Breakingmentioning

confidence: 99%

Nonequilibrium phenomena in high Landau levels

et al. 2012

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“…Currently, there exist a sufficiently large number of theoretical papers ( 4,5,6,7,8,9 , see also 10 and references therein) in which various aspects of the observed phenomena are considered. It is necessary to note that the possibility of the existence of negative-resistance states was first predicted in 3 .…”

mentioning

confidence: 99%

Kinetics of 2D electrons in a magnetic field in the presence of microwave radiation: Response of a nonequilibrium system to a weak measuring field

Lyapilin

Patrakov

2006

Phys. Metals Metallogr.

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Kinetics of spatially uniform distribution of 2D electrons in crossed electric and magnetic fields in the presence of microwave radiation has been studied. In the present model the contribution from the microwave radiation and the effects of Landau quantization are considered exactly, while scattering is treated perturbatively.Here Landau-Floquet states interact with the impurity potential that causes transitions between them. The linear response of a non-equilibrium system to a weak measurement field has been considered for the case when the non-equilibrium state of the carriers can be described by the average values of the total energy and the number of particles.

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“…Examples of proposed mechanisms include spatially indirect interLandau-level transitions based on impurity and phonon scattering [11,12,13,14,15,16,17,18,19], the establishement of a non-equilibrium distribution function [3,20,21,22], photon assisted quantum tunneling [23] and non-parabolicity effects [24]. Second, it is argued that negative values of the dissipative conductivity render the initially homogeneous system unstable [25,26] and an inhomogeneous domain structure develops instead [26,27,28,29,30], which results in zero resistance in experiment. Some theoretical work does not invoke an instability driven formation of domains to explain zero resistance.…”

mentioning

confidence: 99%

Circular-Polarization-Dependent Study of the Microwave Photoconductivity in a Two-Dimensional Electron System

et al. 2005

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The polarization dependence of the low field microwave photoconductivity and absorption of a two-dimensional electron system has been investigated in a quasi-optical setup in which linear and any circular polarization can be produced in-situ. The microwave induced resistance oscillations and the zero resistance regions are notedly immune to the sense of circular polarization. This observation is discrepant with a number of proposed theories. Deviations only occur near the cyclotron resonance absorption where an unprecedented large resistance response is observed.PACS numbers: 73.21.-b, 73.43.-f The recent discovery of zero resistance induced by microwaves [1,2,3,4,5,6,7] in ultra-clean twodimensional electron systems (2DES) over extended regions of an applied perpendicular magnetic field B has revived the general interest in microwave photoconductivity and has triggered a remarkably large and diverse body of theoretical works. Original photoconductivity experiments on lower quality samples only revealed the intuitively expected feature due to resonant heating at the cyclotron resonance or more accurately -due to the finite size of the sample -at the combined dimensional plasmon cyclotron resonance frequency [8]. Unanticipated 1/B-periodic oscillations with minima close to the harmonics of the cyclotron resonance first entered the scene [9,10]. They later turned out precursors of the zero resistance regions. The majority of theoretical accounts subdivides the argumentation to explain the zero resistance into two main points. First some mechanism produces an oscillatory photoconductivity contribution that may turn the overall dissipative conductivity negative near the minima. Examples of proposed mechanisms include spatially indirect interLandau-level transitions based on impurity and phonon scattering [11,12,13,14,15,16,17,18,19], the establishement of a non-equilibrium distribution function [3,20,21,22], photon assisted quantum tunneling [23] and non-parabolicity effects [24]. Second, it is argued that negative values of the dissipative conductivity render the initially homogeneous system unstable [25,26] and an inhomogeneous domain structure develops instead [26, 27, 28, 29, 30], which results in zero resistance in experiment. Some theoretical work does not invoke an instability driven formation of domains to explain zero resistance. It relies either on radiation induced gaps in the electronic spectrum [31] or on the microwave driven semi-classical dynamics of electron orbits [32].The sheer multitude of models and their divergence underline that no consensus has been reached on the origin of this non-equilibrium phenomenon. In order to assist in isolating the proper microscopic picture, a detailed polarization dependent study was carried out. In previous work, microwaves were guided to the sample with oversized rectangular waveguides [1,2,3,4,5] or with a coaxial dipole antenna [6,7]. These approaches do not permit control over the polarization state. Rectangular waveguides operated in their fundamental mode...

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Residual resistance in a two-dimensional electron system: A phenomenological approach

Cited by 18 publications

References 12 publications

Nonequilibrium phenomena in high Landau levels

Nonequilibrium phenomena in high Landau levels

Kinetics of 2D electrons in a magnetic field in the presence of microwave radiation: Response of a nonequilibrium system to a weak measuring field

Circular-Polarization-Dependent Study of the Microwave Photoconductivity in a Two-Dimensional Electron System

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