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We report the observation of a quantum anomalous Hall effect in twisted bilayer graphene showing Hall resistance quantized to within .1\% of the von Klitzing constant $h/e^2$ at zero magnetic field.The effect is driven by intrinsic strong…

Strongly Correlated Electrons · Physics 2020-03-18 M. Serlin , C. L. Tschirhart , H. Polshyn , Y. Zhang , J. Zhu , K. Watanabe , T. Taniguchi , L. Balents , A. F. Young

Valleytronic materials, characterized by local extrema (valley) in their bands, and topological insulators have separately attracted great interest recently. However, the interplay between valleytronic and topological properties in one…

Mesoscale and Nanoscale Physics · Physics 2018-08-27 Tong Zhou , Jiayong Zhang , Hua Jiang , Igor Zutic , Zhongqin Yang

Coexistence of intrinsic ferrovalley (FV) and nontrivial band topology attracts intensive interest both for its fundamental physics and for its potential applications, namely valley-polarized quantum anomalous Hall insulator (VQAHI). Here,…

Materials Science · Physics 2022-01-25 San-Dong Guo , Wen-Qi Mu , Bang-Gui Liu

In this paper we propose two theoretical models of a metallic N\'{e}el ordered antiferromagnet with charge-density wave order which shows the anomalous Hall effect. In our models a combination of the N\'{e}el order and the charge-density…

Mesoscale and Nanoscale Physics · Physics 2024-11-26 Vladimir A. Zyuzin

We study the effect of disorder on the anomalous Hall effect (AHE) in two-dimensional ferromagnets. The topological nature of AHE leads to the integer quantum Hall effect from a metal, i.e., the quantization of $\sigma_{xy}$ induced by the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Masaru Onoda , Naoto Nagaosa

As novel topological phases in correlated electron systems, we have found two examples of non-ferromagnetic states that exhibit a large anomalous Hall effect. One is the chiral spin liquid compound Pr$_{2}$Ir$_{2}$O$_{7}$, which exhibits a…

Strongly Correlated Electrons · Physics 2017-08-09 S. Nakatsuji , T. Higo , M. Ikhlas , T. Tomita , Z. Tian

The interplay of Rashba and quantum spin Hall effects in non-centrosymmetric systems presents both challenges and opportunities for spintronic applications. While Rashba spin-orbit coupling can disrupt the quantum spin Hall phase, their…

Mesoscale and Nanoscale Physics · Physics 2025-07-02 Jun-Jie Zhang , Shuai Dong

We investigate the effects of vacancies, disorder and sublattice polarization on the electronic properties of a monolayer graphene in the quantum Hall regime. Energy spectra as a function of magnetic field and the localization properties of…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Ana L. C. Pereira , Peter A. Schulz

The quantum spin Hall (QSH) state is a topologically non-trivial state of quantum matter which preserves time-reversal symmetry; it has an energy gap in the bulk, but topologically robust gapless states at the edge. Recently, this novel…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Chaoxing Liu , Taylor L. Hughes , Xiao-Liang Qi , Kang Wang , Shou-Cheng Zhang

We propose a scheme for generating Rashba spin-orbit coupling and perpendicular Zeeman field simultaneously for cold fermionic atoms in a harmonic trap through the coupling between atoms and laser fields. The realization of Rashba…

Quantum Gases · Physics 2010-09-02 Chuanwei Zhang

Chern insulator or quantum anomalous Hall state is a topological state with integer Hall conductivity but in absence of Landau level. It had been well established on various two-dimensional lattices with periodic structure. Here, we report…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Ai-Lei He , Lu-Rong Ding , Yuan Zhou , Yi-Fei Wang , Chang-De Gong

We treat elementary excitations, the spin-liquid state, and the anomalous Hall effect (including the quantum one in purely 2D situation) in layered highly correlated systems. The mechanisms of the formation of a topological state associated…

Strongly Correlated Electrons · Physics 2022-03-02 V. Yu. Irkhin , Yu. N. Skryabin

We investigate the photoinduced effect to the silicene, which is a topological insulator, by the circularly polarized light in off-resonance regime with a frequency much larger than the critical value (also much larger than the frequency…

Mesoscale and Nanoscale Physics · Physics 2018-06-13 Chen-Huan Wu

Based on a proper definition of the spin current, we investigate the spin-Hall effect of heavy holes in narrow quantum wells in the presence of Rashba spin-orbit coupling by using a spin-density matrix approach. In contrast to previous…

Disordered Systems and Neural Networks · Physics 2009-11-11 P. Kleinert , V. V. Bryksin

The energy spectra of transition metal dichalcogenides are primarily influenced by the and orbitals. This results in a three-band model characterized by strong spin-orbit interaction. Investigating these bands using a projection into a…

Mesoscale and Nanoscale Physics · Physics 2023-11-22 Phusit Nualpijit , Kitakorn Jatiyanon , Bumned Soodchomshom

We analyze the Landau level (LL) structure and spin Hall effect in a MoS2 trilayer. Due to orbital asymmetry, the low-energy Dirac fermions become heavily massive and the LL energies grow linearly with $B$, rather than with $\sqrt{B}$.…

Mesoscale and Nanoscale Physics · Physics 2013-02-06 Xiao Li , Fan Zhang , Qian Niu

The quantum anomalous Hall effect is defined as a quantized Hall effect realized in a system without external magnetic field. Quantum anomalous Hall effect is a novel manifestation of topological structure in many-electron systems, and may…

Mesoscale and Nanoscale Physics · Physics 2015-08-31 Chao-Xing Liu , Shou-Cheng Zhang , Xiao-Liang Qi

Anomalous Hall effect arising from non-trivial spin configuration (chirality) is studied based on the $s$-$d$ model. Considering a weak coupling case, the interaction is treated perturbatively. Scattering by normal impurities is included.…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Gen Tatara , Hikaru Kawamura

Recent findings indicate that orbital angular momentum (OAM) has the capability to induce the intrinsic orbital Hall effect (OHE), which is characterized by orbital Chern number in the orbital Hall insulator. Unlike the spin-polarized…

Mesoscale and Nanoscale Physics · Physics 2024-05-07 Shilei Ji , Chuye Quan , Ruijia Yao , Jianping Yang , Xing'ao Li

Recently, fractional quantum anomalous Hall effects have been discovered in two-dimensional moir\'{e} materials when a topologically nontrivial band with Chern number $\mathcal{C}=1$ is partially doped. Remarkably, superlattice Bloch bands…

Mesoscale and Nanoscale Physics · Physics 2025-07-30 Vo Tien Phong , Cyprian Lewandowski