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Thermal transport in the mixed state of a d-wave superconductor is considered within the weak-field regime. We express the thermal conductivity, $\kappa_{xx}$, and the thermal Hall conductivity, $\kappa_{xy}$, in terms of the cross section…

Superconductivity · Physics 2009-11-07 Adam C. Durst , Ashvin Vishwanath , Patrick A. Lee

The ballistic motion of carriers of graphene in an orthogonal electromagnetic field is investigated to explain Hall conductance of graphene under experimental conditions. With the electrical field, all electronic eigen-states have the same…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Ji Luo

When phonons couple to fermions in 2D semimetals, the interaction may turn the system into an insulator. There are several insulating phases in which the time reversal and the sublattice symmetries are spontaneously broken. Examples are…

Strongly Correlated Electrons · Physics 2021-05-12 Andreas Sinner , Klaus Ziegler

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 consider magnetotransport in high-mobility 2D electron gas in a non-quantizing magnetic field. We employ a weakly chiral network model to test numerically the prediction of the scaling theory that the transition from an Anderson to a…

Disordered Systems and Neural Networks · Physics 2012-01-19 M. Ortuño , A. M. Somoza , V. V. Mkhitaryan , M. E. Raikh

We present a study of Hall transport in semi-Dirac critical phases. The construction is based on a covariant formulation of relativistic systems with spatial anisotropy. Geometric data together with external electromagnetic fields is used…

Strongly Correlated Electrons · Physics 2020-09-02 Carlos Hoyos , Ruben Lier , Francisco Peña-Benitez , Piotr Surówka

We study the quantum Hall effect in a two-dimensional homogeneous electron gas coupled to a quantum cavity field. As initially pointed out by Kohn, Galilean invariance for a homogeneous quantum Hall system implies that the electronic center…

Mesoscale and Nanoscale Physics · Physics 2024-01-23 Vasil Rokaj , Jie Wang , John Sous , Markus Penz , Michael Ruggenthaler , Angel Rubio

Quantum transport in three-dimensional massless Dirac electron system with long-range Gaussian impurities is studied theoretically using a self-consistent Born approximation (SCBA). We find that the conductivity significantly changes the…

Disordered Systems and Neural Networks · Physics 2014-02-25 Yuya Ominato , Mikito Koshino

In a clean quantum critical metal, and in the absence of umklapp, most d.c. conductivities are formally infinite due to momentum conservation. However, there is a particular combination of the charge and heat currents which has a finite,…

High Energy Physics - Theory · Physics 2015-10-28 Richard A. Davison , Blaise Goutéraux , Sean A. Hartnoll

The holographic Weyl semimetal is a model of a strongly coupled topological semi-metal. A topological quantum phase transition separates a topological phase with non-vanishing anomalous Hall conductivity from a trivial state. We investigate…

High Energy Physics - Theory · Physics 2017-04-05 Christian Copetti , Jorge Fernández-Pendás , Karl Landsteiner

We report an experimental study of quantum conductivity corrections in a low mobility, high density two-dimensional electron gas in a AlGaAs/GaAs/AlGaAs quantum well in a wide temperature range (1.5K - 110K). This temperature range covers…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 V. T. Renard , I. V. Gornyi , O. A. Tkachenko , V. A. Tkachenko , Z. D. Kvon , E. B. Olshanetsky , A. I. Toropov , J. -C. Portal

We study theoretically how electrons, coherently injected at one point on the boundary of a two-dimensional electron system, are focused by a perpendicular magnetic field $B$ onto another point on the boundary. Using the non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2013-11-28 Thomas Stegmann , Dietrich E. Wolf , Axel Lorke

Nonlinear transport phenomena in condensed matter reflect the geometric nature, quantum coherence, and many-body correlation of electronic states. Electric currents in solids are classified into (i) Ohmic current, (ii) supercurrent, and…

Mesoscale and Nanoscale Physics · Physics 2024-11-01 Hiroki Isobe , Naoto Nagaosa

We extend the quantum Hall matrix model to include couplings to external electric and magnetic fields. The associated current suffers from matrix ordering ambiguities even at the classical level. We calculate the linear response at low…

Strongly Correlated Electrons · Physics 2009-10-01 T. H. Hansson , J. Kailasvuori , A. Karlhede

We explore the thermoelectric transport properties of a coexistence topological semimetal, characterized by the presence of both a pair of Weyl points and a nodal ring in the quantum limit. This system gives rise to complex Landau bands…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 L. W. Guo , C. M. Wang

We consider the problem of magnetic charges in $(2+1)$ dimensions for a torus geometry in real-space, subjected to an inverted Lorentz force due to an external electric field applied normal to the surface of the torus. We compute the Hall…

Strongly Correlated Electrons · Physics 2024-04-10 Ashley M. Cook

This paper is the first in a series revisiting the Faraday effect, or more generally, the theory of electronic quantum transport/optical response in bulk media in the presence of a constant magnetic field. The independent electron…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Horia D. Cornean , G. Nenciu , Thomas G. Pedersen

We study two-dimensional systems with Galilean invariance gapped under magnetic fields. When such quantum Hall systems are coupled with external sources for charge, energy, and momentum currents, they exhibit invariance under the Milne…

Mesoscale and Nanoscale Physics · Physics 2024-11-15 Tatsuya Amitani , Yusuke Nishida

Using simultaneous measurements of the attenuation and velocity of surface acoustic waves propagating along GaAs/Al$_{0.3}$Ga$_{0.7}$As heterostructures, complex ac conductance of the latters has been determined. In the magnetic fields…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. L. Drichko , A. M. Diakonov , I. Yu. Smirnov , V. V. Preobrazenskii , A. I. Toropov , Y. M. Galperin

The presence of strong disorder in graphene nanoribbons yields low-mobility diffusive transport at high charge densities, whereas a transport gap occurs at low densities. Here, we investigate the longitudinal and transverse…

Mesoscale and Nanoscale Physics · Physics 2012-09-03 Fabian Duerr , Jeroen B. Oostinga , Charles Gould , Laurens W. Molenkamp