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Topologically non-trivial states characterized by Berry curvature appear in a number of materials ranging from spin-orbit-coupling driven topological insulators to graphene. In multivalley conductors, such as mono- and bilayer graphene,…

Mesoscale and Nanoscale Physics · Physics 2019-12-20 Sergey Slizovskiy , Edward McCann , Mikito Koshino , Vladimir I. Fal'ko

The anomalous Hall effect in time-reversal symmetry broken systems is underpinned by the concept of Berry curvature in band theory. However, recent experiments reveal that the nonlinear Hall effect can be observed in non-magnetic systems…

Mesoscale and Nanoscale Physics · Physics 2023-08-22 Arka Bandyopadhyay , Nesta Benno Joseph , Awadhesh Narayan

Quantum geometry of electronic wavefunctions results in fascinating topological phenomena. A prominent example is the intrinsic anomalous Hall effect (AHE) in which a Hall voltage arises in the absence of an applied magnetic field. The AHE…

By means of finite size exact diagonalization we theoretically study the electronic many-body effects on the nearly flat-band structure with time-reversal symmetry in a checkerboard lattice model and identify the topological nature of two…

Strongly Correlated Electrons · Physics 2014-08-12 Wei Li , D. N. Sheng , C. S. Ting , Yan Chen

Van Hove singularities (VHSs) in proximity to the Fermi level promote electronic interactions and generate diverse competing instabilities. It is also known that a nontrivial Berry phase derived from spin-orbit coupling (SOC) can introduce…

Superconductivity · Physics 2026-03-06 Xinloong Han , Jun Zhan , Fu-chun Zhang , Jiangping Hu , Xianxin Wu

The quantum anomalous Hall effect (QAHE) has unique advantages in topotronic applications, but it is still challenging to realize the QAHE with tunable magnetic and topological properties for building functional devices. Through systematic…

Computational Physics · Physics 2022-12-29 Feng Xue , Yusheng Hou , Zhe Wang , Zhiming Xu , Ke He , Ruqian Wu , Yong Xu , Wenhui Duan

While altermagnetic materials are characterized by a vanishing net magnetic moment, their symmetry in principle allows for the existence of an anomalous Hall effect (AHE). Here we introduce a model with altermagnetism in which the emergence…

Strongly Correlated Electrons · Physics 2024-09-05 Toshihiro Sato , Sonia Haddad , Ion Cosma Fulga , Fakher F. Assaad , Jeroen van den Brink

Berry curvature multipoles appearing in topological quantum materials have recently attracted much attention. Their presence can manifest in novel phenomena, such as nonlinear anomalous Hall effects (NLAHE). The notion of Berry curvature…

We study a model of electrons moving in a parent band of uniform Berry curvature. At sufficiently high parent Berry curvature, we show that strong repulsive interactions generically lead to the formation of an anomalous Hall crystal: a…

Mesoscale and Nanoscale Physics · Physics 2024-11-14 Tixuan Tan , Trithep Devakul

We demonstrate robust and reversible electric-current control of the anomalous Hall effect (AHE) in a two-dimensional WTe2/Fe3GeTe2 (FGT) stack. Applying a current through Td-WTe2 leads to a giant modulation of the AHE of the adjacent FGT…

Layer-polarized anomalous Hall effect (LP-AHE), derived from the coupling between Berry curvature and layer degree of freedom, is of importance for both fundamental physics and device applications. Nonetheless, the current research paradigm…

Materials Science · Physics 2022-06-24 Ting Zhang , Xilong Xu , Baibiao Huang , Ying Dai , Liangzhi Kou , Yandong Ma

The anomalous Hall effect (AHE) and anomalous Nernst effect (ANE) are the transverse transport phenomena in magnetic materials, which reflect the Berry curvature arising from the electronic structure near the Fermi level. Lattice strain…

The recently introduced concept of "surface Berry plasmons" is studied in the concrete instance of a ferromagnetic conductor in which the Berry curvature, generated by spin-orbit (SO) interaction, has opposite signs for carriers parallel or…

Mesoscale and Nanoscale Physics · Physics 2018-06-20 Steven S. -L. Zhang , Giovanni Vignale

The recently discovered nonlinear Hall effect (NHE) in a few non-interacting systems provides a novel mechanism to generate second harmonic electrical Hall signals under time-reversal-symmetric conditions. Here, we introduce a new approach…

Mesoscale and Nanoscale Physics · Physics 2022-10-25 Meizhen Huang , Zefei Wu , Jinxin Hu , Xiangbin Cai , En Li , Liheng An , Xuemeng Feng , Ziqing Ye , Nian Lin , Kam Tuen Law , Ning Wang

Motivated by recent progress in 2D spintronics, we present Eu deposited on a 1H-WSe$_2$ as a promising platform for engineering spin-orbit effects and Berry curvature. By first-principles calculations based on density functional theory, we…

Mesoscale and Nanoscale Physics · Physics 2022-08-17 Johanna P. Carbone , Dongwook Go , Yuriy Mokrousov , Gustav Bihlmayer , Stefan Blügel

We present a study of transport in multiple-band non-interacting Fermi metallic systems based on the Keldysh formalism, taking into account the effects of Berry curvature due to spin-orbit coupling. We apply this formalism to a Rashba 2DEG…

Mesoscale and Nanoscale Physics · Physics 2009-05-30 Alexey A. Kovalev , Yaroslav Tserkovnyak , Karel Vyborny , Jairo Sinova

The quantum oscillation is an important probe for the detection of a topological insulator(TI) surface states by means of electrical transport since the Shubnikov-de Haas oscillations allow to extract the Berry Phase which is the key test…

Mesoscale and Nanoscale Physics · Physics 2020-01-28 Debarghya Mallick , Shoubhik Mandal , R. Ganesan , P. S. Anil Kumar

Sliding is a ubiquitous phenomenon in moir\'e systems, but its direct influence on moir\'e bands, especially in multi-twist moir\'e systems, has been largely overlooked to date. Here, we theoretically show that sliding provides a unique…

Mesoscale and Nanoscale Physics · Physics 2025-09-12 Shi-Ping Ding , Miao Liang , Tian-Le Wu , Meng-Hao Wu , Jing-Tao Lü , Jin-Hua Gao , X. C. Xie

We theoretically investigate the manipulation of the quantum anomalous Hall effect (QAHE) in graphene by means of the uniaxial strain. The values of Chern number and Hall conductance demonstrate that the strained graphene in presence of…

Mesoscale and Nanoscale Physics · Physics 2014-01-07 G. S. Diniz , M. R. Guassi , F. Qu

While Floquet engineering offers a powerful paradigm for manipulating topological phases, particularly Floquet Weyl semimetals, establishing an experimentally feasible strategy for tracking the dynamic evolution of such states remains a…

Materials Science · Physics 2026-03-31 Qingfeng Huang , Shengpu Huang , Tingyan Chen , Jing Fan , Dong-Hui Xu , Xiaozhi Wu , Da-Shuai Ma , Rui Wang