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Related papers: Unquantized thermal Hall effect in quantum spin li…

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Motivated by the recent surge of field-driven phenomena discussed for Kitaev materials, in particular the experimental observation of a finite thermal Hall effect and theoretical proposals for the emergence of additional spin liquid phases…

Strongly Correlated Electrons · Physics 2019-08-28 Yong Hao Gao , Ciarán Hickey , Tao Xiang , Simon Trebst , Gang Chen

The quantum spin Hall (QSH) states discovered in an inverted band of InAs/GaSb and HgTe/CdTe quantum wells categorize them among the very superior candidates for topological insulators. In the presence of a magnetic field, these QSH states…

Mesoscale and Nanoscale Physics · Physics 2022-04-04 Alestin Mawrie

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

In this paper, starting from a lattice model of topological insulators, we study the quantum phase transitions among different quantum states, including quantum spin Hall state, quantum anomalous Hall state and normal band insulator state…

Strongly Correlated Electrons · Physics 2010-01-22 Lan-Feng Liu , Su-Peng Kou

The thermal Hall effect has emerged as a fundamental tool for probing exotic quasiparticles and topological order, particularly in magnetic insulators where electronic conduction is suppressed. Much like skyrmions, which are characterized…

Mesoscale and Nanoscale Physics · Physics 2026-05-26 Ferenc Márkus , Katalin Gambár

The Kitaev model with an applied magnetic field in the $H||[111]$ direction shows two transitions: from a non-abelian gapped quantum spin liquid (QSL) to a gapless QSL at $H_{c1} \simeq 0.2K$ and a second transition at a higher field…

Strongly Correlated Electrons · Physics 2019-06-11 Niravkumar D. Patel , Nandini Trivedi

We present a study of the thermal Hall effect in the extended Heisenberg model with $XXZ$ anisotropy in the kagome lattice. This model has the particularity that, in the classical case, and for a broad region in parameter space, an external…

Strongly Correlated Electrons · Physics 2021-02-03 F. A. Gómez Albarracín , H. D. Rosales , Pierre Pujol

The Hall effect, the anomalous Hall effect and the spin Hall effect are fundamental transport processes in solids arising from the Lorentz force and the spin-orbit coupling respectively. The quantum versions of the Hall effect and the spin…

Mesoscale and Nanoscale Physics · Physics 2010-07-13 Rui Yu , Wei Zhang , H. J. Zhang , S. C. Zhang , Xi Dai , Zhong Fang

We propose a theory for thermal Hall transport mediated by magnons to address the impact of their damping resulting from magnon-magnon interactions in insulating magnets. This phenomenon is anticipated to be particularly significant in…

Strongly Correlated Electrons · Physics 2024-07-10 Shinnosuke Koyama , Joji Nasu

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

Topological insulator phases of non-interacting particles have been generalized from periodic crystals to amorphous lattices, which raises the question whether topologically ordered quantum many-body phases may similarly exist in amorphous…

Strongly Correlated Electrons · Physics 2023-11-01 Gino Cassella , Peru D'Ornellas , Thomas Hodson , Willian M. H. Natori , Johannes Knolle

The quantum Hall liquid is a novel state of matter with profound emergent properties such as fractional charge and statistics. Existence of the quantum Hall effect requires breaking of the time reversal symmetry caused by an external…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. Andrei Bernevig , Shou-Cheng Zhang

The spin Hall effect is investigated in a two-orbital tight-binding model on a honeycomb lattice. We show that the model exhibits three topologically-different insulating phases at half filling, which are distinguished by different…

Strongly Correlated Electrons · Physics 2015-04-15 Satoru Hayami , Hiroaki Kusunose , Yukitoshi Motome

An exciting new prospect in condensed matter physics is the possibility of realizing fractional quantum Hall (FQH) states in simple lattice models without a large external magnetic field. A fundamental question is whether qualitatively new…

Strongly Correlated Electrons · Physics 2012-08-29 Maissam Barkeshli , Xiao-Liang Qi

We study the effects of spin orbit interactions on the low energy electronic structure of a single plane of graphene. We find that in an experimentally accessible low temperature regime the symmetry allowed spin orbit potential converts…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. L. Kane , E. J. Mele

The search for topologically non-trivial states of matter has become an important goal for condensed matter physics. Recently, a new class of topological insulators has been proposed. These topological insulators have an insulating gap in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Markus Koenig , Hartmut Buhmann , Laurens W. Molenkamp , Taylor L. Hughes , Chao-Xing Liu , Xiao-Liang Qi , Shou-Cheng Zhang

Physical phenomena driven by topological properties, such as the quantum Hall effect, have the appealing feature to be robust with respect to external perturbations. Lately, a new class of materials has emerged manifesting their topological…

Mesoscale and Nanoscale Physics · Physics 2011-02-17 D. Bercioux , N. Goldman , D. F. Urban

The Kitaev quantum spin liquid displays the fractionalization of quantum spins into Majorana fermions. The emergent Majorana edge current is predicted to manifest itself in the form of a finite thermal Hall effect, a feature commonly…

Strongly Correlated Electrons · Physics 2018-05-30 Y. Kasahara , K. Sugii , T. Ohnishi , M. Shimozawa , M. Yamashita , N. Kurita , H. Tanaka , J. Nasu , Y. Motome , T. Shibauchi , Y. Matsuda

We develop a theory for the thermal Hall coefficient in a spin-$\frac{1}{2}$ system on a strip of Kagome lattice, where a chiral spin-interaction term is present. To this end, we model the Kagome strip as a three-leg $XXZ$ spin-ladder, and…

Strongly Correlated Electrons · Physics 2019-06-06 Pavel Tikhonov , Efrat Shimshoni

Despite extensive investigations, a topological state that hosts Majorana edge modes in the magnetic field-induced quantum disordered state of the Kitaev candidate material $\alpha$-RuCl$_3$ has been hotly debated. To gain more insight into…

Strongly Correlated Electrons · Physics 2022-08-31 Y. Kasahara , S. Suetsugu , T. Asaba , S. Kasahara , T. Shibauchi , N. Kurita , H. Tanaka , Y. Matsuda