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Long-range magnetic textures, such as magnetic skyrmion, give rise to rich transport properties in magnetic metals, such as the anomalous Hall effect related to spin chirality, a.k.a. topological Hall effect. In addition to the topological…

Mesoscale and Nanoscale Physics · Physics 2024-06-19 Ryunosuke Terasawa , Hiroaki Ishizuka

Motivated by the discovery of the quantum anomalous Hall effect in Cr-doped \ce{(Bi,Sb)2Te3} thin films, we study the generic states for magnetic topological insulators and explore the physical properties for both magnetism and itinerant…

Strongly Correlated Electrons · Physics 2021-08-16 Chao-Kai Li , Xu-Ping Yao , Gang Chen

The intriguing interplay between topology and superconductivity has attracted significant attention, given its potential for realizing topological superconductivity. In the quantum anomalous Hall insulators (QAHIs)-based junction, the…

Mesoscale and Nanoscale Physics · Physics 2024-11-12 Junjie Qi , Haiwen Liu , Jie Liu , Hua Jiang , Dong E. Liu , Chui-Zhen Chen , Ke He , X. C. Xie

Electron bands in the untwisted bilayer graphene flatten out in a transverse electric field, offering a promising platform for correlated electron physics. We predict that the spin/valley isospin magnetism, resembling that seen in moir\'{e}…

Mesoscale and Nanoscale Physics · Physics 2023-02-07 Zhiyu Dong , Margarita Davydova , Olumakinde Ogunnaike , Leonid Levitov

We show that the flat bands in the chiral model of magic-angle twisted bilayer graphene remain exactly flat in the presence of a perpendicular magnetic field. This is shown by an exact mapping between the model and the lowest Landau level…

Strongly Correlated Electrons · Physics 2021-09-29 Yarden Sheffer , Ady Stern

In general, quantum fluctuations are suppressed in ferromagnetic materials because they admit a simple unfrustrated ground state, greatly limiting the scope of phenomena that can be observed in these materials. In this work, we show how…

Strongly Correlated Electrons · Physics 2026-05-11 Rokas Veitas , Ahmed Khalifa , Francisco Machado , Shubhayu Chatterjee

The anomalous Hall effect (AHE) can appear in certain antiferromagnetic metals when it is allowed by symmetry. Since the net magnetization is usually small in such anomalous Hall antiferromagnets, it is useful to have other physical…

Materials Science · Physics 2022-07-22 Hua Chen

The chiral anomaly is based on a non-conserved chiral charge and can happen in Dirac fermion systems under the influence of external electromagnetic fields. In this case, the spectral flow leads to a transfer of right- to left-moving…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Christoph Fleckenstein , Niccolò Traverso Ziani , Björn Trauzettel

Charge carriers in magic angle graphene come in eight flavors described by a combination of their spin, valley, and sublattice polarizations. When the inversion and time reversal symmetries are broken by the substrate or by strong…

The quantum anomalous Hall (QAH) effect is sometimes observed in twisted bilayer graphene (tBG) when it is nearly aligned with an encapsulating hexagonal boron nitride (hBN) layer. We propose that the appearance or absence of the QAH effect…

Mesoscale and Nanoscale Physics · Physics 2021-02-17 Jingtian Shi , Jihang Zhu , A. H. MacDonald

Electrons which are slowly moving through chiral magnetic textures can effectively be described as if they where influenced by electromagnetic fields emerging from the real-space topology. This adiabatic viewpoint has been very successful…

Materials Science · Physics 2018-10-23 Fabian R. Lux , Frank Freimuth , Stefan Blügel , Yuriy Mokrousov

In magnetic insulators, the sense of rotation of the magnetization is associated with novel phases of matter and exotic transport phenomena. Aimed to find new sources of chiral magnetism rooted in intrinsic fields and geometry, twisted…

Materials Science · Physics 2024-03-05 Ignacio Tapia , Xavier Cazor , Paula Mellado

In [B. Binz, A. Vishwanath and V. Aji, Phys. Rev. Lett. 96, 207202 (2006)], a magnetic structure that breaks time reversal symmetry in the absence of net magnetization was proposed as an explanation for the high pressure "partially ordered"…

Strongly Correlated Electrons · Physics 2009-11-11 B. Binz , A. Vishwanath

We propose an experimental scheme to realize and detect the quantum anomalous Hall effect in an anisotropic square optical lattice which can be generated from available experimental set-ups of double-well lattices with minor modifications.…

Strongly Correlated Electrons · Physics 2015-03-13 Xiong-Jun Liu , Xin Liu , Congjun Wu , Jairo Sinova

Materials exhibiting controllable magnetic phase transitions are currently in demand for many spintronics applications. Here we investigate from first principles the electronic structure and intrinsic anomalous Hall, spin Hall and anomalous…

Materials Science · Physics 2018-05-09 Adrian Popescu , Pablo Rodriguez-Lopez , Paul M. Haney , Lilia M. Woods

Stoner magnetism in bands endowed with Berry curvature is shown to be profoundly influenced by the coupling between spin chirality density $\vec s\cdot(\partial_x\vec s\times\partial_y\vec s)$ and Berry's orbital magnetization. The key…

Mesoscale and Nanoscale Physics · Physics 2024-09-27 Zhiyu Dong , Leonid Levitov

We propose realizing the quantum anomalous Hall effect by proximity coupling graphene to an antiferromagnetic insulator that provides both broken time-reversal symmetry and spin-orbit coupling. We illustrate our idea by performing ab initio…

Mesoscale and Nanoscale Physics · Physics 2015-01-21 Zhenhua Qiao , Wei Ren , Hua Chen , L. Bellaiche , Zhenyu Zhang , A. H. MacDonald , Qian Niu

At a certain "magic" relative twist angle of two graphene sheets it remains a challenge to obtain a detailed description of the proliferation of correlated topological electronic phases and their filling-dependence. We perform a…

Strongly Correlated Electrons · Physics 2023-04-10 Clara N. Breiø , Brian M. Andersen

The exploration of magnetic topological insulators is instrumental in exploring axion electrodynamics and intriguing transport phenomena, such as the quantum anomalous Hall effect. Here, we report that a family of magnetic compounds…

Materials Science · Physics 2024-11-07 Yufei Zhao , Yiyang Jiang , Hyeonhu Bae , Kamal Das , Yongkang Li , Chao-Xing Liu , Binghai Yan

In a magnetic metal, the Hall resistance is generally taken to be the sum of the ordinary Hall resistance and the anomalous Hall resistance. Here it is shown that this empirical relation is no longer valid when either the ordinary Hall…

Mesoscale and Nanoscale Physics · Physics 2023-02-21 Jiaji Zhao , Bingyan Jiang , Jinying Yang , Lujunyu Wang , Hengjie Shi , Guang Tian , Zhilin Li , Enke Liu , Xiaosong Wu