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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,…

We have investigated the complex two-dimensional electron system with unequal Rashba and Dresselhaus spin-orbit interactions in the presence of a perpendicular magnetic field. The spin polarizations are obtained in a wide range of magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-10-06 Degang Zhang , C. S. Ting

The anomalous Hall effect due to the spin chirality order and fluctuation is studied theoretically in a Kondo lattice model without the relativistic spin-orbit interaction. Even without the correlations of the localized spins, $\sigma_{xy}$…

Strongly Correlated Electrons · Physics 2009-11-07 Shigeki Onoda , Naoto Nagaosa

We calculate the spin Hall conductivity driven by Rashba spin-orbit interaction in $p$-type two-dimensional semiconductors in the presence of a perpendicular magnetic field. For a highly confined quantum well, the system is described by a…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 M. Zarea , Sergio E. Ulloa

The quantum anomalous Hall effect is a intriguing quantum state which exhibits the chiral edge states in the absence of magnetic field. While the search for quantum anomalous Hall insulators is still active, the researchers mainly search…

Mesoscale and Nanoscale Physics · Physics 2020-02-19 Ping Li , Tian-Yi Cai

An experimental study of Landau levels (LLs) in a system of two-dimensional massless Dirac fermions based on a critical thickness HgTe quantum well has been carried out. The magnetotransport and the capacitive response have been…

Mesoscale and Nanoscale Physics · Physics 2023-10-17 D. A. Kozlov , J. Ziegler , N. N. Mikhailov , Z. D. Kvon , D. Weiss

The quantum geometry, comprising Berry curvature and quantum metric, plays a fundamental role in governing electron transport phenomena in solids. Recent studies show that the quantum metric dipole drives scattering-free nonlinear Hall…

Mesoscale and Nanoscale Physics · Physics 2025-08-12 Tong-Yang Zhao , An-Qi Wang , Zhen-Tao Zhang , Zheng-Yang Cao , Xing-Yu Liu , Zhi-Min Liao

We predict a spin anomalous-Hall unidirectional magnetoresistance (AH-UMR) in conducting bilayers composed of a ferromagnetic layer and a nonmagnetic layer, which does $\textit{not}$ rely on the spin Hall effect in the normal metal…

Mesoscale and Nanoscale Physics · Physics 2022-05-30 M. Mehraeen , Steven S. -L. Zhang

The integer quantum Hall effect is a topological state of quantum matter in two dimensions, and has recently been observed in three-dimensional topological insulator thin films. Here we study the Landau levels and edge states of surface…

Mesoscale and Nanoscale Physics · Physics 2015-09-02 Song-Bo Zhang , Hai-Zhou Lu , Shun-Qing Shen

The quantum Hall effect in three-dimensional Weyl semimetal (WSM) receives significant attention for the emergence of the Fermi loop where the underlying two-dimensional Hall conductivity, namely, sheet Hall conductivity, shows quantized…

Mesoscale and Nanoscale Physics · Physics 2022-08-02 Feng Xiong , Carsten Honerkamp , Dante M. Kennes , Tanay Nag

Antiferromagnets are promising candidates for next-generation spintronic devices owing to their negligible stray fields and ultrafast spin dynamics. The noncollinear antiferromagnet $\mathrm{Mn}_{3}\mathrm{Sn}$ exhibits a large anomalous…

Materials Science · Physics 2026-03-17 Yiming Liu , Xin Liu , Jiayao Zhu , Fengxian Ma , Li Ma , Dewei Zhao , Guoke Li , Congmian Zhen , Denglu Hou

A new type of anomalous Hall effect is shown to arise from the interaction of conduction electrons with dipolar spin waves in ferromagnets. This effect exists even in homogeneous ferromagnets without relativistic spin-orbit coupling. The…

Materials Science · Physics 2015-10-14 Kei Yamamoto , Koji Sato , Eiji Saitoh , Hiroshi Kohno

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

We performed neutron single crystal and synchrotron X-ray powder diffraction experiments in order to investigate the magnetic and crystal structures of the conductive layered triangular-lattice antiferromagnet PdCrO2 with a putative spin…

We use a lowest Landau level model to study the recent observation of an anomalous Hall effect in twisted bilayer graphene. This effective model is rooted in the occurrence of Chern bands which arise due to the coupling between the graphene…

Strongly Correlated Electrons · Physics 2020-04-28 Nick Bultinck , Shubhayu Chatterjee , Michael P. Zaletel

The three-dimensional Dirac semimetal is distinct from its two-dimensional counterpart due to its dimensionality and symmetry. Here, we observe that molecule-based quasi-two-dimensional Dirac fermion system, $\alpha$-(BEDT-TTF)$_2$I$_3$,…

Strongly Correlated Electrons · Physics 2023-11-23 Naoya Tajima , Yoshitaka Kawasugi , Takao Morinari , Ryuhei Oka , Toshio Naito , Reizo Kato

The effect of magnetic field on an ultrathin magnetic topological insulator film with structural inversion asymmetry is investigated. We introduce the phase diagram, calculate the Landau-level spectrum analytically and simulate the…

Mesoscale and Nanoscale Physics · Physics 2016-05-13 Shu-feng Zhang , Hua Jiang , X. C. Xie , Qing-feng Sun

Hall conductance of noninteracting fermions filling a certain number of Landau levels can be written as a topological invariant. A particular version of this invariant when expressed in terms of the single particle Green's functions…

Strongly Correlated Electrons · Physics 2014-08-11 V. Gurarie

Quantum anomalous Hall effect has been widely explored in both ferromagnetic and antiferromagnetic systems. Here, we propose an interaction-driven paramagnetic quantum anomalous Hall effect emerging in the Fermion-Hubbard model on a dice…

Strongly Correlated Electrons · Physics 2025-07-15 Yedi Shen , Sanyi You , Zhenhua Qiao , Qian Niu

Interaction driven symmetry breaking in a metallic (doped) Dirac system can manifest in the spontaneous gap generation at the nodal point buried below the Fermi level. Across this transition linear conductivity remains finite making its…

Mesoscale and Nanoscale Physics · Physics 2020-02-25 Habib Rostami , Vladimir Juričić