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Room-temperature realization of macroscopic quantum phenomena is one of the major pursuits in fundamental physics. The quantum spin Hall state, a topological quantum phenomenon that features a two-dimensional insulating bulk and a helical…

An important route of engineering topological states and excitations is to combine superconductors (SC) with the quantum Hall (QH) effect, and over the past decade, significant progress has been made in this direction. While typical…

We study the heat transport along an edge state of a two-dimensional electron gas in the quantum Hall regime, in contact to two reservoirs at different temperatures. We consider two exactly solvable models for the edge state coupled to the…

Mesoscale and Nanoscale Physics · Physics 2013-10-23 H. Aita , L. Arrachea , C. Naón , E. Fradkin

The spin Hall effect in a two-dimensional electron system on honeycomb lattice with both intrinsic and Rashba spin-orbit couplings is studied numerically. Integer quantized spin Hall conductance is obtained at zero Rashba coupling limit…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. Sheng , D. N. Sheng , C. S. Ting , F. D. M. Haldane

The quantum anomalous Hall effect (QAHE) is a fundamental quantum transport phenomenon that manifests as a quantized transverse conductance in response to a longitudinally applied electric field in the absence of an external magnetic field,…

Thermal transport coefficient $\kappa$ is an important property that often dictates broad applications of a polymeric material, while at the same time its computation remains challenging. In particular, classical simulations overestimate…

Soft Condensed Matter · Physics 2024-08-12 Debashish Mukherji

Quantum linear response theory considers only the response of a closed quantum system to a perturbation up to first order in the perturbation. This theory breaks down when the system subjects to environments and the response up to second…

Quantum Physics · Physics 2016-01-06 H. Z. Shen , M. Qin , Y. H. Zhou , X. Q. Shao , X. X. Yi

Instability of quantum anomalous Hall (QAH) effect has been studied as function of electric current and temperature in ferromagnetic topological insulator thin films. We find that a characteristic current for the breakdown of the QAH effect…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 Minoru Kawamura , Ryutaro Yoshimi , Atsushi Tsukazaki , Kei S. Takahashi , Masashi Kawasaki , Yoshinori Tokura

The finite size effects of the thermal conductivity $\kappa$ have been studied in the phonon space. It is found that only a few phonon modes are selected to take part in the thermal transport when the size $L$ of the system is decreased.…

Mesoscale and Nanoscale Physics · Physics 2016-04-22 Li Wan

As one of paradigmatic phenomena in condensed matter physics, the quantum anomalous Hall effect (QAHE) in stoichiometric Chern insulators has drawn great interest for years. By using model Hamiltonian analysis and first-principle…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Hongyi Sun , Bowen Xia , Zhongjia Chen , Yingjie Zhang , Pengfei Liu , Qiushi Yao , Hong Tang , Yujun Zhao , Hu Xu , Qihang Liu

In this article we consider the chiral Hall effect due to topologically protected kink states formed in topological insulators at boundaries between domains with differing topological invariants. Such systems include the surfaces of three…

Mesoscale and Nanoscale Physics · Physics 2020-04-23 M. Sedlmayr , N. Sedlmayr , J. Barnaś , V. K. Dugaev

We investigate the current proportional to the cross product of an electric field and a temperature gradient, which we call the Nonlinear Chiral Thermo-Electric (NCTE) Hall effect, in 3D chiral magnetic structures. We analyze both discrete…

Mesoscale and Nanoscale Physics · Physics 2024-10-02 Terufumi Yamaguchi , Kazuki Nakazawa , Ai Yamakage

We study the spin conductivity of the bulk states of three-dimensional topological insulators within Kubo formalism. Spin Hall effect is the generation of the spin current that is perpendicular to the applied voltage. In the case of a…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 R. S. Akzyanov

We calculate anomaly induced conductivities from a holographic gauge theory model using Kubo formulas, making a clear conceptual distinction between thermodynamic state variables such as chemical potentials and external background fields.…

High Energy Physics - Theory · Physics 2011-03-03 A. Gynther , K. Landsteiner , F. Pena-Benitez , A. Rebhan

We analyse the behavior of the thermal conductivity, $\kappa(H)$, in the vortex state of a quasi-two-dimensional d-wave superconductor when both the heat current and the applied magnetic field are in the basal plane. At low temperature the…

Superconductivity · Physics 2009-10-31 I. Vekhter , P. J. Hirschfeld

We consider the impact of electron-electron interactions on the temperature dependence of the anomalous Hall effect in disordered conductors. The microscopic analysis is carried out within the diagrammatic approach of the linear response…

Mesoscale and Nanoscale Physics · Physics 2020-04-20 Songci Li , Alex Levchenko

Non-equilibrium (NE) molecular dynamics (MD), or NEMD, gives a "direct" simulation of thermal conductivity kappa. Heat H(x) is added and subtracted in equal amounts at different places x. After steady state is achieved, the temperature T(x)…

Materials Science · Physics 2016-12-06 Philip B. Allen , Yerong Li

The current-current correlation function is a useful concept in the theory of electron transport in homogeneous solids. The finite-temperature conductivity tensor as well as Anderson's localization length can be computed entirely from this…

Disordered Systems and Neural Networks · Physics 2016-02-23 Emil Prodan , Jean Bellissard

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

The quantum Hall effect is generally understood for free electron gases, in which topologically protected edge states between Landau levels (LLs) form conducting channels at the edge of the sample. In periodic crystals, the LLs are…

Strongly Correlated Electrons · Physics 2020-03-26 Börge Göbel , Alexander Mook , Jürgen Henk , Ingrid Mertig