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We present high frequency measurements of the diagonal conductivity sigma_xx of a two dimensional electron system in the integer quantum Hall regime. The width of the sigma_xx peaks between QHE minima is analyzed within the framework of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 F. Hohls , U. Zeitler , R. J. Haug , K. Pierz

We report new experimental data on the plateau-insulator transition in the quantum Hall regime, taken from a low mobility InGaAs/InP heterostructure. By employing the fundamental symmetries of the quantum transport problem we are able to…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 A. M. M. Pruisken , D. T. N. de Lang , L. A. Ponomarenko , A. de Visser

The two-terminal conductance of a random flux model defined on a square lattice is investigated numerically at the band center using a transfer matrix method. Due to the chiral symmetry, there exists a critical point where the ensemble…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 L. Schweitzer , P. Markoš

We study the full distribution of the zero-temperature Hall conductivity in a lattice model of the IQHE using the Kubo formula across disorder realizations. Near the localization-delocalization transition, the conductivity exhibits…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 Emuna Rimon , Eytan Grosfeld , Yevgeny Bar Lev

We prove the quantization of the Hall conductivity for general weakly interacting gapped fermionic systems on two-dimensional periodic lattices. The proof is based on fermionic cluster expansion techniques combined with lattice Ward…

Mathematical Physics · Physics 2016-08-24 Alessandro Giuliani , Vieri Mastropietro , Marcello Porta

The problem of non-linear transport near a quantum phase transition is solved within the Landau theory for the dissipative insulator-superconductor phase transition in two dimensions. Using the non-equilibrium Schwinger round-trip Green…

Superconductivity · Physics 2009-11-10 Denis , Dalidovich , Philip Phillips

We would like to point out that: (i) according to the edge-bulk transport models for the quantum Hall regime, the direction of low bulk conductance is actually perpendicular to that expected naively; and (ii) the values of experimental…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. J. Goldman

The Fermi liquid paradigm for metals has contributed enormously to our understanding of condensed matter systems. However a growing number of quantum critical systems have been shown to exhibit non Fermi liquid behavior. A full…

Strongly Correlated Electrons · Physics 2020-09-02 C. -Y. Lin , Y. -Y. Chang , C. Rylands , N. Andrei , C. -H. Chung

This report reviews recent progress in computing Kubo formulas for general interacting Hamiltonians. The aim is to calculate electric and thermal magneto-conductivities in strong scattering regimes where Boltzmann equation and Hall…

Strongly Correlated Electrons · Physics 2024-10-04 Assa Auerbach , Sauri Bhattacharyya

The expressions for average densities of currents and charges induced by a weak electromagnetic field in spatially inhomogeneous systems are obtained. The case of finite temperatures is considered. It is shown that average values are…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 I. G. Lang , L. I. Korovin , S. T. Pavlov

We have investigated the Hall resistance $R_H$ near the plateau-insulator transition of a two-dimensional electron gas in the quantum critical regime. High-field magnetotransport data taken on a low-mobility InGaAs/InP heterostructure with…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. T. N. de Lang , L. A. Ponomarenko , A. de Visser , A. M. M. Pruisken

Anomalous Hall effect in very clean samples (high conductivity regime) is studied using a two-dimensional network model. We find that the off-diagonal conductivity comprises two parts: one which reflects the bulk properties as obtained by…

Mesoscale and Nanoscale Physics · Physics 2023-02-08 Pavel Středa , Karel Výborný

The Landauer formula for quantum conductance, based on the modern paradigm: "conduction is transmission", is generalized to samples of macroscopic size. Two regimes of electrical conduction, namely diffusive and ballistic ones, are studied.…

Condensed Matter · Physics 2007-05-23 P. R. Silva , Marcos Sampaio , C. Nassif , M. C. Nemes

We investigate different methods to compute the DC conductance in a quantum wire doped with some impuritied by exploiting the integrability of the theories under consideration. As an essential ingredient in all methods we evaluate the…

Condensed Matter · Physics 2007-05-23 Olalla A. Castro-Alvaredo , Andreas Fring

Quantum transport in disordered magnetic fields is investigated numerically in two-dimensional systems. In particular, the case where the mean and the fluctuation of disordered magnetic fields are of the same order is considered. It is…

Disordered Systems and Neural Networks · Physics 2009-11-10 Tohru Kawarabayashi , Tomi Ohtsuki

The crossover from the quantum Hall regime to the Hall-insulator is investigated by varying the strength of the diagonal disorder in a 2d tight-binding model. The Hall and longitudinal conductivities and the behavior of the critical states…

Disordered Systems and Neural Networks · Physics 2009-10-31 H. Potempa , A. Bäker , L. Schweitzer

We study the magnetotransport properties of a two-dimensional electronic system with unconventional Rashba spin-orbit coupling in which the system is described by a pair of chiral spin texture in each spin branch, and the chirality is…

Mesoscale and Nanoscale Physics · Physics 2026-03-24 Aryan Pandita , SK Firoz Islam

The conductance of a waveguide containing finite number of periodically placed identical point-like impurities is investigated. It has been calculated as a function of both the impurity strength and the number of impurities using the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 J. Cserti , G. Szálka , G. Vattay

We examined the magneto-transport behavior of electrons confined at the conducting LaAlO3/SrTiO3 interface in the low sheet carrier density regime. We observed well resolved Shubnikov-de Haas quantum oscillations in the longitudinal…

Materials Science · Physics 2015-06-19 Yanwu Xie , Christopher Bell , Minu Kim , Hisashi Inoue , Yasuyuki Hikita , Harold Y. Hwang

Using the well-known Kubo formula, we evaluate magnetotransport quantities like the collisional and Hall conductivities of the $\alpha$-T$_3$ model. The collisional conductivity exhibits a series of peaks at strong magnetic field. Each of…

Mesoscale and Nanoscale Physics · Physics 2016-10-19 Tutul Biswas , Tarun Kanti Ghosh