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Moir\'e heterobilayer transition metal dichalcogenides (TMDs) emerge as an ideal system for simulating the single-band Hubbard model and interesting correlated phases have been observed in these systems. Nevertheless, the moir\'e bands in…

介观与纳米尺度物理 · 物理学 2022-01-19 Ying-Ming Xie , Cheng-Ping Zhang , Jin-Xin Hu , Kin Fai Mak , K. T. Law

The quantum anomalous Hall (QAH) effect is a novel topological spintronic phenomenon arising from inherent magnetization and spin-orbit coupling. Various theoretical and experimental efforts have been devoted in search of robust intrinsic…

计算物理 · 物理学 2017-01-18 Chengxi Huang , Jian Zhou , Haiping Wu , Kaiming Deng , Puru Jena , Erjun Kan

The prediction and realization of the quantum anomalous Hall effect are often intimately connected to honeycomb lattices in which the sublattice degree of freedom plays a central role in the nontrivial topology. Two-dimensional Wigner…

强关联电子 · 物理学 2024-07-04 Yongxin Zeng , Daniele Guerci , Valentin Crépel , Andrew J. Millis , Jennifer Cano

Lattice deformations act on the low-energy excitations of Dirac materials as effective axial vector fields. This allows to directly detect quantum anomalies of Dirac materials via the response to axial gauge fields. We investigate the…

介观与纳米尺度物理 · 物理学 2020-12-04 Taiki Matsushita , Satoshi Fujimoto , Andreas P. Schnyder

We review our recent works on the quantum transport, mainly in topological semimetals and also in topological insulators, organized according to the strength of the magnetic field. At weak magnetic fields, we explain the negative…

介观与纳米尺度物理 · 物理学 2019-05-07 Hai-Peng Sun , Hai-Zhou Lu

In magnetically doped thin-film topological insulators, aligning the magnetic moments generates a quantum anomalous Hall phase supporting a single chiral edge state. We show that as the system de-magnetizes, disorder from randomly oriented…

介观与纳米尺度物理 · 物理学 2019-07-30 Arbel Haim , Roni Ilan , Jason Alicea

Recent experiments on the twisted semiconductor bilayer system $t$MoTe$_2$ have observed integer and fractional quantum anomalous Hall effects, which occur in topological moir\'e bands at zero magnetic field. Here, we present a global phase…

介观与纳米尺度物理 · 物理学 2023-12-25 Aidan P. Reddy , Liang Fu

We study a tight-binding model on the honeycomb lattice of chiral $d$-wave superconductivity that breaks time-reversal symmetry. Due to its nontrivial sublattice structure, we show that it is possible to construct a gauge-invariant…

超导电性 · 物理学 2019-08-21 P. M. R. Brydon , D. S. L. Abergel , D. F. Agterberg , V. M. Yakovenko

In recent breakthrough experiments, twisted moir\'e layers of transition metal dichalcogenides are found to manifest both integer (IQAHE) and fractional (FQAHE) quantum anomalous Hall effects in zero applied magnetic field because of the…

介观与纳米尺度物理 · 物理学 2024-03-29 Sankar Das Sarma , Ming Xie

The quantum anomalous Hall effect is a intriguing topological nontrivial phase arising from spontaneous magnetization and spin-orbit coupling. However, the tremendously harsh realizing requirements of the quantum anomalous Hall effects in…

计算物理 · 物理学 2020-02-18 Ping Li , Tian-Yi Cai

We numerically study the three-dimensional (3D) quantum Hall effect (QHE) and magnetothermoelectric transport of Weyl semimetals in the presence of disorder. We obtain a bulk picture that the exotic 3D QHE emerges in a finite range of Fermi…

介观与纳米尺度物理 · 物理学 2021-08-18 R. Ma , D. N. Sheng , L. Sheng

We investigate the possibility of observing the anomalous Hall effect (AHE) in two dimensional paramagnetic systems. We apply the semiclassical equations of motion to carriers in the conduction and valence bands of wurtzite and zincblende…

凝聚态物理 · 物理学 2009-11-10 Dimitrie Culcer , Allan MacDonald , Qian Niu

Based on ab initio calculations, we predict that a monolayer of Cr-doped (Bi,Sb)2Te3 and GdI2 heterostructure is a quantum anomalous Hall insulator with a non-trivial band gap up to 38 meV. The principle behind our prediction is that the…

介观与纳米尺度物理 · 物理学 2015-03-19 Gang Xu , Jing Wang , Claudia Felser , Xiao-Liang Qi , Shou-Cheng Zhang

The discovery of the quantum Hall effect in 2D systems opens the door to topological phases of matter. A quantum Hall effect in 3D is a long-sought phase of matter and has inspired many efforts and claims. In the perspective, we review our…

介观与纳米尺度物理 · 物理学 2018-12-19 Hai-Zhou Lu

The quantum anomalous Hall effect (QAHE) and magnetic Weyl semimetals (WSMs) are topological states induced by intrinsic magnetic moments and spin-orbit coupling. Their similarity suggests the possibility of achieving the QAHE by…

强关联电子 · 物理学 2020-03-26 Lukas Muechler , Enke Liu , Jacob Gayles , Qiunan Xu , Claudia Felser , Yan Sun

The recent discovery of the quantum nonlinear Hall effect has revived the field of nonlinear transport. Here, we predict magnetic field-induced nonlinear Hall effect in time-reversal symmetric Weyl semimetal. We show that the interplay of…

介观与纳米尺度物理 · 物理学 2022-12-13 Debottam Mandal , Kamal Das , Amit Agarwal

This paper begins with a summary of a powerful formalism for the study of electronic states in condensed matter physics called "Gauge Theory of States/Phases of Matter." The chiral anomaly, which plays quite a prominent role in that…

强关联电子 · 物理学 2023-04-12 Jürg Fröhlich

The unique connectivity of kagome lattices gives rise to topological properties, such as flat bands and Dirac cones. When combined with ferromagnetism and a chemical potential near the 2D Dirac points, this structure offers the potential to…

While the quantum Hall effect in graphene has been regarded as a realization of the anomaly associated with the massless Dirac particle carrying half the usual topological integer, this is hidden due to the doubling of the Dirac cones. In…

介观与纳米尺度物理 · 物理学 2014-08-01 Haruki Watanabe , Yasuhiro Hatsugai , Hideo Aoki

Magnetic topological materials represent a class of compounds whose properties are strongly influenced by the topology of the electronic wavefunctions coupled with the magnetic spin configuration. Such materials can support chiral…

介观与纳米尺度物理 · 物理学 2022-03-08 B. Andrei Bernevig , Claudia Felser , Haim Beidenkopf