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For the fractional quantum Hall states on a finite disc, we study the thermoelectric transport properties under the influence of an edge and its reconstruction. In a recent study on a torus [Phys. Rev. B 101, 241101 (2020)], Sheng and Fu…

Strongly Correlated Electrons · Physics 2021-06-30 Zi-Yi Fang , Dan Ye , Yu-Yu Zhang , Zi-Xiang Hu

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 electrical Hall conductivities of any anisotropic interacting system with reflection symmetry obey sigma_{xy} = - sigma_{yx}. In contrast, we show that the analogous relation between the transverse thermoelectric Peltier coefficients,…

Strongly Correlated Electrons · Physics 2016-12-21 Yoni Schattner , Vadim Oganesyan , Dror Orgad

We analyze the thermoelectric cooling properties of a Corbino device in the quantum Hall regime on the basis of experimental data of electrical conductance. We focus on the cooling power and the coefficient of performance within and beyond…

Thermal Hall transport has emerged as a valuable tool for probing the fractionalized excitations in chiral quantum spin liquids. Observing quantized thermal Hall response, expected at temperatures below the spectral gap, has been…

Strongly Correlated Electrons · Physics 2025-07-01 Avijit Maity , Haoyu Guo , Subir Sachdev , Vikram Tripathi

Topological states of matter are characterized by topological invariant, which are physical quantities whose values are quantized and do not depend on details of the measured system. Of these, the easiest to probe in experiments is the…

Mesoscale and Nanoscale Physics · Physics 2018-09-05 Mitali Banerjee , Moty Heiblum , Vladimir Umansky , Dima E. Feldman , Yuval Oreg , Ady Stern

We compute the electron diffusion thermopower at compressible Quantum Hall states corresponding to even denominator fractions in the framework of the composite fermion approach. It is shown that the deviation from the linear low temperature…

Condensed Matter · Physics 2009-10-28 D. V. Khveshchenko

Thermoelectric power, electrical conductivity, and high field Hall effect were studied over a broad temperature range in ferromagnetic Ga(1-x)Mn(x)As epitaxial layers (0.015<x<0.06). Thermoelectric power analysis gives the information about…

The Hall conductivity $\sigma_{\rm xy}$ of a two-dimensional electron system is quantized in units of $e^2/h$ when the Fermi level is located in the mobility gap between two Landau levels. We consider the deviation of $\sigma_{\rm xy}$ from…

Condensed Matter · Physics 2009-10-22 M. M. Fogler , B. I. Shklovskii

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

Detailed measurements of the longitudinal thermopower of two-dimensional electrons in the first excited Landau level are reported. Clear signatures of numerous fractional quantized Hall states, including those at $\nu = 5/2$ and 7/3, are…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 W. E. Chickering , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

Here, we present theoretical studies of the temperature and magnetic field dependences of the Coulomb drag transresistivity between two parallel layers of two dimensional electron gases in quantum Hall regime near half filling of the lowest…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Natalya A. Zimbovskaya

We investigate whether there could exist topological invariants of gapped 2D materials related to dissipationless thermoelectric transport at low temperatures. We give both macroscopic and microscopic arguments showing that thermoelectric…

Strongly Correlated Electrons · Physics 2021-07-13 Michael Levin , Anton Kapustin , Lev Spodyneiko

Two-dimensional topological insulators, and in particular quantum Hall states, are characterized by an insulating bulk and a conducting edge. Fractional states may host both downstream (dictated by the magnetic field) and upstream…

Mesoscale and Nanoscale Physics · Physics 2022-04-06 Ron Aharon Melcer , Bivas Dutta , Christian Spånslätt , Jinhong Park , Alexander D. Mirlin , Vladimir Umansky

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

Presented is the theory of thermal Hall conductivity $\kappa_{xy}$ in the vortex state of high temperature cuprate superconductors in the clean limit. We show that $\lim_{T \to 0} \kappa_{xy}/T$ is a {\em staircase} function of 1/B with an…

Superconductivity · Physics 2007-05-23 Oskar Vafek , Zlatko Tesanovic

We investigate the thermal Hall conductivity in the Kitaev model with additional interactions under a magnetic field, employing a finite-temperature tensor network method benchmarked by a thermal pure quantum state technique. We find that…

Strongly Correlated Electrons · Physics 2025-09-03 Tsuyoshi Okubo , Joji Nasu , Takahiro Misawa , Yukitoshi Motome

We demonstrate a direct approach to investigate heat transport in the fractional quantum Hall regime. At filling factor of 4/3, we inject power at quantum point contacts and detect the related heating from the activated current through a…

Mesoscale and Nanoscale Physics · Physics 2012-08-21 C. Altimiras , H. le Sueur , U. Gennser , A. Anthore , A. Cavanna , D. Mailly , F. Pierre

The scaling physics of quantum Hall transport in optimized topological insulators with a plateau precision of ~1/1000 e2/h is considered. Two exponential scaling regimes are observed in temperature-dependent transport dissipation, one of…

We have performed both in-plane resistivity, Hall effect and specific heat measurements on the thermoelectric cobalt oxide Ca$_{3}$Co$_{4}$O$_{9}$. Four distinct transport regimes are found as a function of temperature, corresponding to a…

Strongly Correlated Electrons · Physics 2007-05-23 P. Limelette , V. Hardy , P. Auban-Senzier , D. Jerome , D. Flahaut , S. Hebert , R. Fresard , Ch. Simon , J. Noudem , A. Maignan
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