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The Hall effect arises when time reversal symmetry is broken by either intrinsic magnetism or an external magnetic field. The latter contribution dominates in non-magnetic materials, in which the angular dependence of the Hall effect is…

Mesoscale and Nanoscale Physics · Physics 2021-01-13 Joshua Mutch , Xuetao Ma , Chong Wang , Paul Malinowski , Joss Ayres-Sims , Qianni Jiang , Zhaoyu Liu , Di Xiao , Matthew Yankowitz , Jiun-Haw Chu

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

The surface states of topological insulators, which behave as charged massless Dirac fermions, are studied in the presence of a quantizing uniform magnetic field. Using the method of D.H. Lee[1], analytical formula satisfied by the energy…

Mesoscale and Nanoscale Physics · Physics 2011-12-13 Oskar Vafek

When electrons are confined in two-dimensional (2D) materials, quantum mechanically enhanced transport phenomena, as exemplified by the quantum Hall effects (QHE), can be observed. Graphene, an isolated single atomic layer of graphite, is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Yuanbo Zhang , Yan-Wen Tan , Horst L. Stormer , Philip Kim

We report the first observation of Shubnikov-de Haas (SdH) oscillations and quantized Hall resistance in the multilayered massless Dirac fermion system $\alpha$-(BEDT-TTF)$_2$I$_3$ with tilted cones. Holes were injected into the thin…

Materials Science · Physics 2015-06-12 N. Tajima , T. Yamauchi , T. Yamaguchi , M. Suda , Y. Kawasugi , H. M. Yamamoto , R. Kato , Y. Nishio , K. Kajita

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

A three-dimensional (3D) Dirac semimetal (DS) is an analogue of graphene, but with linear energy dispersion in all (three) momentum directions.3D DSs have been a fertile playground in discovering novel quantum particles, for example Weyl…

Materials Science · Physics 2016-03-08 W. Yu , Y. Jiang , J. Yang , Z. L. Dun , H. D. Zhou , Z. Jiang , P. Lu , W. Pan

Topological insulators can be seen as band-insulators with a conducting surface. The surface carriers are Dirac particles with an energy which increases linearly with momentum. This confers extraordinary transport properties characteristic…

Mesoscale and Nanoscale Physics · Physics 2011-12-12 Clément Bouvier , Tristan Meunier , Philippe Ballet , Xavier Baudry , Roman Bernd Günter Kramer , Laurent Lévy

In the search for experimental signatures of quantum anomalies, the layered Dirac materials ZrTe$_{5}$ and HfTe$_{5}$ have received much attention for potentially hosting a chiral anomaly. These materials exhibit a negative longitudinal…

Materials Science · Physics 2024-03-22 Elizabeth A. Peterson , Christopher Lane , Jian-Xin Zhu

Although, the long-standing debate on the resistivity anomaly in ZrTe$_{5}$ somewhat comes to an end, the exact topological nature of the electronic band structure remains elusive till today. Theoretical calculations predicted that bulk…

Materials Science · Physics 2017-01-10 Arnab Pariari , Prabhat Mandal

The three-dimensional (3D) topological insulator (TI) is a novel state of matter as characterized by two-dimensional (2D) metallic Dirac states on its surface. Bi-based chalcogenides such as Bi2Se3, Bi2Te3, Sb2Te3 and their combined/mixed…

The quantum limit (QL) of an electron liquid, realised at strong magnetic fields, has long been proposed to host a wealth of strongly correlated states of matter. Electronic states in the QL are, for example, quasi-one dimensional (1D),…

Strongly Correlated Electrons · Physics 2023-06-02 S. Galeski , H. F. Legg , R. Wawrzyńczak , T. Förster , S. Zherlitsyn , D. Gorbunov , P. M. Lozano , Q. Li , G. D. Gu , C. Felser , J. Wosnitza , T. Meng , J Gooth

Three-dimensional (3D) topological semimetals represent a new class of topological matters. The study of this family of materials has been at the frontiers of condensed matter physics, and many breakthroughs have been made. Several…

Materials Science · Physics 2019-10-03 Jin Hu , Su-Yang Xu , Ni Ni , Zhiqiang Mao

Recent experiments reveal that the strained bulk HgTe can be regard as a three-dimensional topological insulator (TI). Motivated by this, we explore the strain effects on the magnetotransport properties of the HgTe surface states at…

Mesoscale and Nanoscale Physics · Physics 2016-03-14 Ning Ma

The mutual interplay between electron transport and magnetism has attracted considerable attention in recent years, primarily motivated by strategies to manipulate magnetic degrees of freedom electrically, such as spin-orbit torques and…

Mesoscale and Nanoscale Physics · Physics 2023-09-13 Hong Liu , Rhonald Burgos Atencia , Nikhil Medhekar , Dimitrie Culcer

Topological semimetals characterize a novel class of quantum materials hosting Dirac/Weyl fermions. The important features of topological fermions can be exhibited by quantum oscillations. Here we report the magnetoresistance and…

Topological insulators have been studied intensively over the last decades. Among these materials, three-dimensional (3D) zirconium pentatelluride (ZrTe$_5$) stands out as one of the most intriguing for both theoretical and experimental…

Materials Science · Physics 2025-08-04 Chao Chen Ye , Yuliia Kreminska , Jianting Ye , Jagoda Sławińska

We report on systematic study of transport properties of a 1000-nm HgTe film. Unlike to thinner and strained HgTe films, which are known as high-quality three-dimensional (3D) topological insulators, the film under study is much thicker…

Mesoscale and Nanoscale Physics · Physics 2023-05-19 M. L. Savchenko , D. A. Kozlov , N. N. Mikhailov , S. A. Dvoretsky , Z. D. Kvon

We demonstrate evidences of electronic transport via topological Dirac surface states in a thin film of strained HgTe. At high perpendicular magnetic fields, we show that the electron transport reaches the quantum Hall regime with vanishing…

Mesoscale and Nanoscale Physics · Physics 2017-12-27 C. Thomas , O. Crauste , B. Haas , P. H. Jouneau , C. Bäuerle , L. P. Lévy , E. Orignac , D. Carpentier , P. Ballet , T. Meunier

We investigate magnetoresistivity and the Hall effect in a 6.3 nm gapless HgTe quantum well - a two-dimensional hybrid band system featuring coexisting linear (Dirac-like) and parabolic hole energy bands at low energies. Using a classical…

Mesoscale and Nanoscale Physics · Physics 2025-09-30 G. M. Gusev , A. D. Levin , V. A. Chitta , Z. D. Kvon , N. N. Mikhailov