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We demonstrate that the radiation induced "zero-resistance state" observed in a two-dimensional electron gas is a result of the non-trivial structure of the density of states of the systems and the photon assisted transport. A toy model of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Junren Shi , X. C. Xie

We study transport in the domain state, the so-called zero-resistance state, that emerges in a two-dimensional electron system in which the combined action of microwave radiation and magnetic field produces a negative absolute conductivity.…

Mesoscale and Nanoscale Physics · Physics 2014-02-18 I. A. Dmitriev , M. Khodas , A. D. Mirlin , D. G. Polyakov

We reexamine the charge transport induced by a weak electric field in two-dimensional quantum Hall systems in a finite, periodic box at very low temperatures. The resulting linear response coefficients consist of the time-independent term…

Mathematical Physics · Physics 2007-05-23 Tohru Koma

The Hall conductance $\sigma_{xy}$ of two-dimensional {\it lattice} electrons with random potential is investigated. The change of $\sigma_{xy}$ due to randomness is focused on. It is a quantum phase transition where the {\it sum rule} of…

Disordered Systems and Neural Networks · Physics 2009-10-31 Y. Hatsugai , K. Ishibashi , Y. Morita

Zero-Resistance States (ZRS) are normally associated with superconducting and quantum Hall phases. Experimental detection of ZRS in two-dimensional electron gas (2DEG) systems irridiated by microwave(MW) radiation in a magnetic field has…

Mesoscale and Nanoscale Physics · Physics 2015-10-13 Abdullah Yar , Kashif Sabeeh

A two-dimensional quantum Hall system is studied for a wide class of potentials including single-body random potentials and repulsive electron-electron interactions. We assume that there exists a non-zero excitation gap above the ground…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tohru Koma

We demonstrate that N(S)-shape current-voltage characteristics proposed to explain zero-resistance state in Corbino(Hall bar) geometry 2DEG (cond-mat/0302063, cond-mat/0303530) cannot account essential features of radiation-induced…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. V. Cheremisin

In this paper, we present a phenomenological picture based on the composite fermion theory, in responding to the recent discovery by Shahar et al. of a new transport regime near the transition from a $\nu=1$ quantum Hall liquid to a Hall…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Wenjun Zheng , Yue Yu , Zhao-bin Su

Motivated in part by the numerical simulations [ky,kosterlitz1,kosterlitz2] which reveal that the energy to create a defect in a gauge or phase glass scales as $L^{\theta}$ with $\theta<0$ for 2D, thereby implying a vanishing stiffness, we…

Strongly Correlated Electrons · Physics 2018-01-17 Julian May-Mann , Philip W. Phillips

We overview mechanisms of absolute negative conductivity in two-dimensional electron systems in a magnetic field irradiated with microwaves and provide plausible explanations of the features observed in recent experiments related to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Victor Ryzhii

Hall viscosity is a non-dissipative response function describing momentum transport in two-dimensional systems with broken parity. It is quantized in the quantum Hall regime, and contains information about the topological order of the…

Strongly Correlated Electrons · Physics 2017-12-06 Luca V. Delacretaz , Andrey Gromov

We present a model which provides a plausible explanation of the effect of zero-resistance and zero-conductance states in two-dimensional electron systems subjected to a magnetic field and irradiated with microwaves observed in a number of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 V. Ryzhii , A. Chaplik , R. Suris

Recent experimental results regarding a 2D electron gas subjected to microwave radiation reveal that magnetoresistivity, apart from presenting oscillations and zero resistance states, can evolve to negative values at minima. In other words,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. Inarrea , G. Platero

We study the effect of inhomogeneities in Hall conductivity on the nature of the Zero Resistance States seen in the microwave irradiated two-dimensional electron systems in weak perpendicular magnetic fields, and we show that time-dependent…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Ilya G. Finkler , Bertrand I. Halperin

Topological superconductors may undergo transitions between phases with different topological numbers which, like the case of topological insulators, are related to the presence of gapless (Majorana) edge states. In $\mathbb{Z}$ topological…

Superconductivity · Physics 2015-06-15 Pedro D. Sacramento , Miguel A. N. Araújo , Eduardo V. Castro

High-mobility 2D electron systems in a perpendicular magnetic field exhibit zero resistance states (ZRS) when driven with microwave radiation. We study the nonequilibrium phase transition into this ZRS using phenomenological equations of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. Alicea , L. Balents , M. P. A. Fisher , A. Paramekanti , L. Radzihovsky

We analyze here the behavior of the Hall conductivity $\sigma_{xy}$ near a $z=2$ insulator-superconductor quantum critical point in a perpendicular magnetic field. We show that the form of the conductivity is sensitive to the presence of…

Superconductivity · Physics 2009-11-07 Denis Dalidovich , Philip Phillips

Hall viscosity is a nondissipative response function describing momentum transport in two-dimensional (2D) systems with broken time-reversal symmetry. In the classical regime, Hall viscosity contributes to the viscous flow of 2D electrons…

Mesoscale and Nanoscale Physics · Physics 2018-10-16 G. M. Gusev , A. D. Levin , E. V. Levinson , A. K. Bakarov

We have determined the off-diagonal and diagonal conductivities for a quantum Hall effect system at exactly integer filling at finite temperatures and in the presence of weak short ranged disorder potential within the self consistent Born…

Condensed Matter · Physics 2009-10-28 Sudhansu S. Mandal , V. Ravishankar

We present a direct numerical evidence for reflection symmetry of longitudinal resistivity $\rho_{xx}$ and quantized Hall resistivity $\rho_{xy}$ near the transition between $\nu=1$ quantum Hall state and insulator, in accord with the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. N. Sheng , Z. Y. Weng
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