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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

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

The exactly-solvable Kitaev model of two-dimensional honeycomb magnet leads to a quantum spin liquid (QSL) characterized by Majorana fermions, relevant for fault-tolerant topological quantum computations. In the high-field paramagnetic…

Strongly Correlated Electrons · Physics 2022-09-13 O. Tanaka , Y. Mizukami , R. Harasawa , K. Hashimoto , K. Hwang , N. Kurita , H. Tanaka , S. Fujimoto , Y. Matsuda , E. -G. Moon , T. Shibauchi

Heat transport mediated by Majorana edge modes in a magnetic insulator leads to a half-integer thermal quantum Hall conductance, which has recently been reported for the two-dimensional honeycomb material $\alpha$-RuCl$_3$. While the…

Strongly Correlated Electrons · Physics 2021-08-02 T. Yokoi , S. Ma , Y. Kasahara , S. Kasahara , T. Shibauchi , N. Kurita , H. Tanaka , J. Nasu , Y. Motome , C. Hickey , S. Trebst , Y. Matsuda

The recent observation of a half-integer quantized thermal Hall effect in $\alpha$-RuCl$_3$ is interpreted as a unique signature of a chiral spin liquid with a Majorana edge mode. A similar quantized thermal Hall effect is expected in…

Strongly Correlated Electrons · Physics 2018-08-03 Yuval Vinkler-Aviv , Achim Rosch

Thermal signatures of fractionalized excitations are a fingerprint of quantum spin liquids (QSLs). In the $J_{eff}=1/2$ honeycomb magnet $\alpha$-RuCl$_3$, a QSL state emerges upon applying an in-plane magnetic field $H_{||}$ greater than…

Strongly Correlated Electrons · Physics 2022-06-01 J. A. N. Bruin , R. R. Claus , Y. Matsumoto , N. Kurita , H. Tanaka , H. Takagi

We investigate the quantum anomalous Hall Effect (QAHE) and related chiral transport in the millimeter-size (Cr0.12Bi0.26Sb0.62)2Te3 films. With high sample quality and robust magnetism at low temperatures, the quantized Hall conductance of…

Kitaev quantum spin liquids host Majorana fermions via the fractionalization of spins. In a magnetic field, the Majorana fermions were predicted to comprise a topological state, which has attracted great attention by the discovery of the…

Strongly Correlated Electrons · Physics 2020-04-01 Junki Yoshitake , Joji Nasu , Yasuyuki Kato , Yukitoshi Motome

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

Quantum anomalous Hall effect (QAHE) is a fundamental transport phenomenon in the field of condensed-matter physics. Without external magnetic field, spontaneous magnetization combined with spin-orbit coupling give rise to a quantized Hall…

Mesoscale and Nanoscale Physics · Physics 2013-05-08 Z. F. Wang , Zheng Liu , Feng Liu

A three-dimensional (3D) topological insulator (TI) is a quantum state of matter with a gapped insulating bulk yet a conducting surface hosting topologically-protected gapless surface states. One of the most distinct electronic transport…

Mesoscale and Nanoscale Physics · Physics 2015-01-06 Yang Xu , Ireneusz Miotkowski , Chang Liu , Jifa Tian , Hyoungdo Nam , Nasser Alidoust , Jiuning Hu , Chih-Kang Shih , M. Zahid Hasan , Yong P. Chen

The realization of the quantum spin Hall effect in HgTe quantum wells has led to the development of topological materials which, in combination with magnetism and superconductivity, are predicted to host chiral Majorana fermions. However,…

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

Majorana fermions as emergent excitations of the Kitaev quantum spin liquid ground state constitute a promising concept in fault tolerant quantum computation. Experimentally, the recently reported topological half-quantized thermal Hall…

Strongly Correlated Electrons · Physics 2023-11-27 Matthias Gillig , Xiaochen Hong , Christoph Wellm , Vladislav Kataev , Weiliang Yao , Yuan Li , Bernd Büchner , Christian Hess

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,…

When electrons are confined in two dimensions and subjected to strong magnetic fields, the Coulomb interactions between them become dominant and can lead to novel states of matter such as fractional quantum Hall liquids. In these liquids…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Kirill I. Bolotin , Fereshte Ghahari , Michael D. Shulman , Horst L. Stormer , Philip Kim

The quantum Hall effect (QHE), which was observed in 2D electron gas under an external magnetic field, stands out as one of the most remarkable transport phenomena in condensed matter. However, a long standing puzzle remains regarding the…

Mesoscale and Nanoscale Physics · Physics 2023-07-26 Humian Zhou , Chui-Zhen Chen , Qing-Feng Sun , X. C. Xie

The quantum anomalous Hall effect (QAHE) is a topological state of matter with a quantized Hall resistance. It has been observed in some two-dimensional insulating materials such as magnetic topological insulator films and twisted bilayer…

Mesoscale and Nanoscale Physics · Physics 2024-02-06 Kai-Zhi Bai , Bo Fu , Zhenyu Zhang , Shun-Qing Shen

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

The quantum Hall effect (QHE) is traditionally considered a purely two-dimensional (2D) phenomenon. Recently, a three-dimensional (3D) version of the QHE has been reported in the Dirac semimetal ZrTe5. It was proposed to arise from a…

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