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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…

Motivated by a recent proposal on the possibility of observing a monopole in the band structure, and by an increasing interest on the role of Berry phase in spintronics, we studied the adiabatic motion of a wave packet of Bloch functions,…

介观与纳米尺度物理 · 物理学 2010-04-05 Ryuichi Shindou , Ken-Ichiro Imura

One big achievement in modern condensed matter physics is the recognition of the importance of various band geometric quantities in physical effects. As prominent examples, Berry curvature and the Berry curvature dipole are connected to the…

介观与纳米尺度物理 · 物理学 2022-01-26 Huiying Liu , Jianzhou Zhao , Yue-Xin Huang , Xiaolong Feng , Cong Xiao , Weikang Wu , Shen Lai , Wei-bo Gao , Shengyuan A. Yang

Two-dimensional van der Waals heterostructures can be engineered into artificial superlattices that host flat bands with significant Berry curvature and provide a favorable environment for the emergence of novel electron dynamics. In…

介观与纳米尺度物理 · 物理学 2023-07-06 Vo Tien Phong , E. J. Mele

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…

介观与纳米尺度物理 · 物理学 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

Over a long period of exploration, the successful observation of quantized version of anomalous Hall effect (AHE) in thin film of magnetically-doped topological insulator completed a quantum Hall trio---quantum Hall effect (QHE), quantum…

介观与纳米尺度物理 · 物理学 2015-08-18 Hongming Weng , Rui Yu , Xiao Hu , Xi Dai , Zhong Fang

In solid state conductors, linear response to a steady electric field is normally dominated by Bloch state occupation number changes that are correlated with group velocity and lead to a steady state current. However, for a number of…

介观与纳米尺度物理 · 物理学 2017-07-12 Dimitrie Culcer , Akihiko Sekine , Allan H. MacDonald

Topological aspects of electron wavefunction play a crucial role in determining the physical properties of materials. Berry curvature and Chern number are used to define the topological structure of electronic bands. While Berry curvature…

Nonlinear transport phenomena offer an exciting probe into the band geometry and symmetry properties of a system. While most studies on nonlinear transport have looked at second-order nonreciprocal responses in noncentrosymmetric systems,…

介观与纳米尺度物理 · 物理学 2024-06-04 Debottam Mandal , Sanjay Sarkar , Kamal Das , Amit Agarwal

Berry curvature plays a crucial role in exotic electronic states of quantum materials, such as intrinsic anomalous Hall effect. As Berry curvature is highly sensitive to subtle changes of electronic band structures, it can be finely tuned…

材料科学 · 物理学 2021-04-30 Di Tian , Zhiwei Liu , Shengchun Shen , Zhuolu Li , Yu Zhou , Hongquan Liu , Hanghui Chen , Pu Yu

A large Berry curvature in the vicinity of the Fermi energy is required in order to obtain a large anomalous Hall and Nernst effect. This Berry curvature can be induced by Weyl points and gapped nodal lines. One of the possible mechanisms…

材料科学 · 物理学 2019-04-17 Jonathan Noky , Claudia Felser , Yan Sun

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…

介观与纳米尺度物理 · 物理学 2020-02-25 Habib Rostami , Vladimir Juričić

For over a century, the Hall effect, a transverse effect under out-of-plane magnetic field or magnetization, has been a cornerstone for magnetotransport studies and applications. Modern theoretical formulation based on the Berry curvature…

介观与纳米尺度物理 · 物理学 2024-12-05 Ayano Nakamura , Shinichi Nishihaya , Hiroaki Ishizuka , Markus Kriener , Yuto Watanabe , Masaki Uchida

In Weyl semi-metals, the conduction and valence bands intersect at distinct points on the Brillouin zone (Weyl points), which act as monopoles of Berry curvature in momentum space. This nontrivial band topology, identified from electronic…

材料科学 · 物理学 2025-03-28 Tamal Kumar Dalui , Hari Paudyal , Durga Paudyal , Ramesh C Budhani

The second-order nonlinear current originates from three physical mechanisms: extrinsic nonlinear Drude and Berry curvature dipole and intrinsic Berry connection polarizability. Here, we predict a new intrinsic contribution to the current…

介观与纳米尺度物理 · 物理学 2023-12-13 Kamal Das , Shibalik Lahiri , Rhonald Burgos Atencia , Dimitrie Culcer , Amit Agarwal

Magnetic semimetals have increasingly emerged as lucrative platforms hosting spin-based topological phenomena in real and momentum spaces. Of particular interest is the emergence of Berry curvature, whose geometric origin, accessibility…

The derivatives of the Berry curvature $\Omega$ and intrinsic orbital magnetic moment m in momentum space are relevant to various problems, including the nonlinear anomalous Hall effect and magneto-transport within the Boltzmann-equation…

材料科学 · 物理学 2023-03-22 Xiaoxiong Liu , Stepan S. Tsirkin , Ivo Souza

It has been theoretically predicted that perturbation of the Berry curvature by electromagnetic fields gives rise to intrinsic nonlinear anomalous Hall effects that are independent of scattering. Two types of nonlinear anomalous Hall…

Electric current flows parallel to the outer product of an applied electric field and temperature gradient, a phenomenon we call the nonlinear chiral thermo-electric (NCTE) Hall effect. We present a general microscopic formulation of this…

介观与纳米尺度物理 · 物理学 2023-05-10 Terufumi Yamaguchi , Kazuki Nakazawa , Ai Yamakage

We will extend the concept of electron band Berry curvatures to superconducting materials. We show that this can be defined for the Bogoliubov-de Gennes equation describing the superconducting state in a periodic crystal. In addition, the…

超导电性 · 物理学 2015-01-05 Martin Gradhand , James F. Annett