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The longitudinal current in a three-dimensional conductor is accompanied by transverse magnetic field in a specimen bulk. The absence of the transverse current in a sample bulk requires a nonzero Hall electric field in transverse…

介观与纳米尺度物理 · 物理学 2023-06-16 M. V. Cheremisin

We study the nonlinear responses of relativistic chiral matter to the external fields, such as the electric field ${\bf E}$, gradients of temperature and chemical potential, ${\bf \nabla} T$ and ${\bf \nabla} \mu$. Using the kinetic theory…

高能物理 - 理论 · 物理学 2016-06-29 Jiunn-Wei Chen , Takeaki Ishii , Shi Pu , Naoki Yamamoto

Response properties that are purely intrinsic to physical systems are of paramount importance in physics research, as they probe fundamental properties of band structures and allow quantitative calculation and comparison with experiment.…

介观与纳米尺度物理 · 物理学 2022-01-11 Huiying Liu , Jianzhou Zhao , Yue-Xin Huang , Weikang Wu , Xian-Lei Sheng , Cong Xiao , Shengyuan A. Yang

In time-reversal invariant systems, all charge Hall effects predicted so far are extrinsic effects due to the dependence on the relaxation time. We explore intrinsic Hall signatures by studying quantum noise spectrum of the Hall current in…

介观与纳米尺度物理 · 物理学 2023-01-30 Miaomiao Wei , Luyang Wang , Bin Wang , Longjun Xiang , Fuming Xu , Baigeng Wang , Jian Wang

Ideal Chern insulating phases arise in two-dimensional systems with broken time-reversal symmetry. They are characterized by having nearly-flat bands, and a uniform quantum geometry -- which combines the Berry curvature and quantum metric…

介观与纳米尺度物理 · 物理学 2022-04-18 Christian Northe , Giandomenico Palumbo , Jonathan Sturm , Christian Tutschku , Ewelina M. Hankiewicz

The anomalous Hall effect (AHE), which provides a bridgeway between the geometry of quantum wavefunctions and transport measurements, has been a key focus of intensive studies. In addition to the well-studied linear AHE, governed by the…

介观与纳米尺度物理 · 物理学 2024-10-21 Xu Zhang , Kai Sun , Zi Yang Meng

The study of quantum geometry effects in materials has been one of the most important research directions in recent decades. The quantum geometry of a material is characterized by the quantum geometry tensor of the Bloch states. The…

We propose a quantum geometric map for the magnetononlinear Hall effect (MNHE), the planar Hall effect (PHE), and the ordinary Hall effect (OHE). These magnetotransport phenomena originate from the bilinear charge current of Bloch electrons…

介观与纳米尺度物理 · 物理学 2026-04-17 Longjun Xiang , Jinxiong Jia , Fuming Xu , Jian Wang

Topological Physics relies on the specific structure of the eigenstates of Hamiltonians. Their geometry is encoded in the quantum geometric tensor containing both the celebrated Berry curvature, crucial for topological matter, and the…

介观与纳米尺度物理 · 物理学 2020-03-03 A. Gianfrate , O. Bleu , L. Dominici , V. Ardizzone , M. De Giorgi , D. Ballarini , K. West , L. N. Pfeiffer , D. D. Solnyshkov , D. Sanvitto , G. Malpuech

Weyl semimetals are promising quantum materials that offer unique topological properties. Lately, it has been shown that laser-driven electron dynamics have characteristic signatures in two-dimensional and three-dimensional Dirac…

介观与纳米尺度物理 · 物理学 2022-08-01 Amar Bharti , M. S. Mrudul , Gopal Dixit

The quantum oscillations of nonlinear magnetoresistance in graphene that occurs in response to a dc current bias are investigated. We present a theoretical model for the nonlinear magnetotransport of graphene carriers. The model is based on…

介观与纳米尺度物理 · 物理学 2014-02-13 Ricardo Gutierrez-Jauregui , Manuel Torres

When charge transport occurs under conditions like topological protection or ballistic motion, the conductance of low-dimensional systems often exhibits quantized values in units of $e^{2}/h$, where $e$ and $h$ are the elementary charge and…

介观与纳米尺度物理 · 物理学 2024-12-05 Baojuan Dong , Kai Zhao , Kenji Watanabe , Takashi Taniguchi , Jianming Lu , Jianting Zhao , Fengcheng Wu , Jing Zhang , Zheng Han

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

We introduce a new mechanism that produces a Hall-like response in time-reversal-invariant materials, driven entirely by geometric effects. Specifically, we demonstrate that a tilted potential interface causes electron wave packets to…

介观与纳米尺度物理 · 物理学 2025-11-20 Ronika Sarkar , Arka Bandyopadhyay , Awadhesh Narayan , Diptiman Sen

The discovery of the quantum Hall effect founded the field of topological condensed matter physics. Its amazingly accurate quantisation of the Hall conductance, now enshrined in quantum metrology, is topologically protected: it is stable…

介观与纳米尺度物理 · 物理学 2024-06-14 Benoit Douçot , Dima Kovrizhin , Roderich Moessner

We show that when the electron and hole densities are unbalanced, observable nonlinear anomalous Hall effect and current-induced orbital magnetization appear at zero magnetic field in the weak charge ordering (CO) state of an organic…

强关联电子 · 物理学 2020-10-21 Toshihito Osada , Andhika Kiswandhi

We report the discovery of the half-quantized mirror Hall effect, a novel quantum-anomaly induced by mirror symmetry in a strong topological insulator (TI) film. These films are known to host a pair of gapless Dirac cones associated with…

介观与纳米尺度物理 · 物理学 2024-02-06 Bo Fu , Kai-Zhi Bai , Shun-Qing Shen

The discontinuity of guiding-center Hall viscosity (a bulk property) at edges of incompressible quantum Hall fluids is associated with the presence of an intrinsic electric dipole moment on the edge. If there is a gradient of drift velocity…

强关联电子 · 物理学 2014-07-23 YeJe Park , F. D. M. Haldane

Geometric phases in quantum mechanics play an extraordinary role in broadening our understanding of fundamental significance of geometry in nature. One of the best known examples is the Berry phase (M.V. Berry (1984), Proc. Royal. Soc.…

统计力学 · 物理学 2012-05-11 V. Gritsev , A. Polkovnikov

Photovoltaic Hall effect is an interesting platform of Berry curvature engineering by external fields. Floquet engineering aims at generation of light-induced Berry curvature associated with topological phase transition in solids, which may…

材料科学 · 物理学 2026-03-04 Yuta Murotani , Tomohiro Fujimoto , Ryusuke Matsunaga
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