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Recent theoretical studies have found quantum spin liquid states with spinon Fermi surfaces upon the application of a magnetic field on a gapped state with topological order. We investigate the thermal Hall conductivity across this…

Strongly Correlated Electrons · Physics 2020-08-26 Yanting Teng , Yunchao Zhang , Rhine Samajdar , Mathias S. Scheurer , Subir Sachdev

Quantum Hall systems are characterized by the quantization of the Hall conductance -- a bulk property rooted in the topological structure of the underlying quantum states. In condensed matter devices, material imperfections hinder a direct…

We investigate the integer quantum Hall system in a two dimensional lattice model with spatially correlated disorder by using the efficient method to calculate the Chern number proposed by Fukui \textit{et al}. Distribution of charge…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Hui Song , Isao Maruyama , Yasuhiro Hatsugai

We consider the thermal Hall effect of fermionic matter coupled to emergent gauge fields in 2+1 dimensions. While the low-temperature thermal Hall conductivity of bulk topological phases can be connected to chiral edge states and a…

Strongly Correlated Electrons · Physics 2020-05-20 Haoyu Guo , Rhine Samajdar , Mathias S. Scheurer , Subir Sachdev

Measurements of the energy relaxation in the integer quantum hall edge at filling factor $\nu=2$ suggest the breakdown of heat current quantization [H. le Sueur et al., Phys. Rev. Lett. 105, 056803]. It was shown, in a hydrodynamic model,…

Mesoscale and Nanoscale Physics · Physics 2022-06-14 Florian Stäbler , Eugene Sukhorukov

In the organic superconducting \kappa-(BEDT-TTF) compounds, various transport phenomena exhibit striking non-Fermi liquid behaviors, which should be the important clues to understanding the electronic state of this system. Especially, the…

Superconductivity · Physics 2009-10-31 H. Kontani , H. Kino

A key hallmark of quantum Hall physics is the existence of topological chiral states at the system boundary. Signatures of these edge states have been experimentally observed in cold atoms by using different approaches, including notably…

The Chern numbers which correspond to quantized Hall conductance $\sigma_{xy}$ were calculated for single- and bi-layer honeycomb lattices. The quantization of $\sigma_{xy}$ occurs in entire energy range. Several large jumps of Chern…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Masao Arai , Yasuhiro Hatsugai

It is a conventional wisdom that the helical edge states of quantum spin Hall (QSH) insulator are particularly stable due to the topological protection of time-reversal symmetry. Here, we report the first experimental observation of an…

Mesoscale and Nanoscale Physics · Physics 2022-01-05 Huanhuan Yang , Lingling Song , Yunshan Cao , X. R. Wang , Peng Yan

Detecting topological order in cold-atom experiments is an ongoing challenge, the resolution of which offers novel perspectives on topological matter. In material systems, unambiguous signatures of topological order exist for topological…

Quantum Gases · Physics 2013-04-25 N. Goldman , J. Dalibard , A. Dauphin , F. Gerbier , M. Lewenstein , P. Zoller , I. B. Spielman

We analyze thermal transport in the fractional quantum Hall effect (FQHE), employing a Luttinger liquid model of edge states. Impurity mediated inter-channel scattering events are incorporated in a hydrodynamic description of heat and…

Condensed Matter · Physics 2009-10-28 C. L. Kane , Matthew P. A. Fisher

We establish symmetry-based selection rules for the intrinsic nonlinear thermal Hall effect driven by the quantum metric in altermagnets. We show that a nonvanishing nonlinear thermal Hall conductivity $\kappa_{xyy}$ requires three…

Mesoscale and Nanoscale Physics · Physics 2026-03-05 Gunn Kim

We study the quantum phases of spinless fermion at one-third filling on a Kagome lattice featuring a quadratic band touching Fermi point. In the presence of weak first and second nearest-neighbor repulsive interactions ($V_1$ and $V_2$), we…

Strongly Correlated Electrons · Physics 2018-12-05 Yafei Ren , T. -S. Zeng , W. Zhu , D. N. Sheng

The two loop contributions to the chiral vortical conductivity are considered. The Kubo formula together with the anomalous Ward identity of the axial vector current suggest that there may be a nonzero correction to the coefficient of the…

High Energy Physics - Theory · Physics 2013-01-10 Defu Hou , Hui Liu , Hai-cang Ren

We study the behavior of the quarter-filled Kondo lattice model on a triangular lattice by combining a zero-temperature variational approach and finite-temperature Monte-Carlo simulations. For intermediate coupling between itinerant…

Strongly Correlated Electrons · Physics 2011-11-01 Yasuyuki Kato , Ivar Martin , C. D. Batista

We construct theoretical models for two dimensional(2d) chiral $d_{x^2-y^2}\pm id_{xy}$ topological superconductors and for three dimensional(3d) $d$ wave topological superconductors. Moreover we build models for any 2d class C and 3d class…

Mesoscale and Nanoscale Physics · Physics 2016-03-24 Tong Chern

Quantum Hall effect (QHE) is one of the most fruitful research topics in condensed-matter physics. Ordinarily, the QHE manifests in a ground state with time-reversal symmetry broken by magnetization to carry a quantized chiral edge…

Materials Science · Physics 2023-03-15 Yinong Zhou , Gurjyot Sethi , Hang Liu , Zhengfei Wang , Feng Liu

The amorphous solids can be theoretically modeled by anharmonic disordered lattices. However, most of theoretical studies on thermal conductivity in anharmonic disordered lattices only focus on the potentials of hard-type (HT)…

Statistical Mechanics · Physics 2023-03-16 Jianjin Wang , Chi Xiong , Daxing Xiong

The interplay between topology and electronic correlation effects offers a rich avenue for discovering emergent quantum phenomena in condensed matter systems. In this work, starting from the Weyl-Hubbard model, we investigate the quantum…

Strongly Correlated Electrons · Physics 2024-02-16 Snehasish Nandy , Christopher Lane , Jian-Xin Zhu

We have measured the temperature dependence of the conductivity $\sigma_{xx}$ of a two-dimensional electron system deep into the localized regime of the quantum Hall plateau transition. Using variable-range hopping theory we are able to…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 F. Hohls , U. Zeitler , R. J. Haug