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The anomalous velocity term in the semiclassical model of a Bloch electron deviates the trajectory from the conventional one. When the Berry curvature (alias noncommutative parameter) is a monopole in momentum space as found recently in…

介观与纳米尺度物理 · 物理学 2010-04-05 P. A. Horvathy

The anomalous velocity has been derived so far based on the single-band approximation. In this paper, the anomalous velocity is derived accounting for multiple energy bands. It is shown that when multiple energy bands are considered, the…

其他凝聚态物理 · 物理学 2024-11-19 Katsuhiko Higuchi , Wakano Sakamoto , Masahiko Higuchi

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

Berry phases have long been known to significantly alter the properties of periodic systems, resulting in anomalous terms in the semiclassical equations of motion describing wave-packet dynamics. In non-Hermitian systems, generalizations of…

介观与纳米尺度物理 · 物理学 2024-12-04 Bar Alon , Roni Ilan , Moshe Goldstein

The semiclassical equations of motion for a Bloch electron include an anomalous velocity term analogous to a $k$-space "Lorentz force", with the Berry connection playing the role of a vector potential. By examining the adiabatic evolution…

其他凝聚态物理 · 物理学 2010-02-21 Y. D. Chong

The anomalous Hall effect, a hallmark of broken time-reversal symmetry and spin-orbit coupling, is frequently observed in magnetically polarized systems. Its realization in non-magnetic systems, however, remains elusive. Here, we report on…

介观与纳米尺度物理 · 物理学 2022-12-29 Athby H. Al-Tawhid , Jesse Kanter , Mehdi Hatefipour , Douglas L. Irving , Divine P. Kumah , Javad Shabani , Kaveh Ahadi

In this work, we discuss a pedagogical method in deriving the expressions for anomalous position and velocity. While we follow the steps used in optics in the derivation of the group velocity, we use Bloch wave functions instead of plane…

介观与纳米尺度物理 · 物理学 2025-07-03 Younsik Kim , Suk Bum Chung , Changyoung Kim

We present a systematic microscopic derivation of the semiclassical Boltzmann equation for band structures with the finite Berry curvature based on Keldysh technique of nonequilibrium systems. In the analysis, an ac electrical driving field…

介观与纳米尺度物理 · 物理学 2021-12-13 Elio J. König , Alex Levchenko

We consider the ground state of an electron gas embedded in a quantum gyrotropic cavity. We show that the light-matter interaction leads to a nontrivial topology of the many-body electron-photon wave function characterized by a nonzero…

介观与纳米尺度物理 · 物理学 2021-09-01 Ilya Tokatly , Dmitry Gulevich , Ivan Iorsh

Relativistic heavy ion collisions represent an arena for the probe of various anomalous transport effects. Those effects, in turn, reveal the correspondence between the solid state physics and the high energy physics, which share the common…

高能物理 - 唯象学 · 物理学 2021-04-30 M. A. Zubkov , Z. V. Khaidukov , R. A. Abramchuk

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

Anomalous nematic states, recently discovered in ultraclean two-dimensional electron gas, emerge from quantum Hall stripe phases upon further cooling. These states are hallmarked by a local minimum (maximum) in the hard (easy) longitudinal…

介观与纳米尺度物理 · 物理学 2021-08-11 X. Fu , Q. Shi , M. A. Zudov , G. C. Gardner , J. D. Watson , M. J. Manfra , K. W. Baldwin , L. N. Pfeiffer , K. W. West

The intrinsic anomalous Hall effect is one of the most exciting manifestations of the geometric properties of the electronic wave-function. Here, we predict that the electronic wave-function's geometric nature also gives rise to a purely…

介观与纳米尺度物理 · 物理学 2021-04-07 Kamal Das , Amit Agarwal

Steady illumination of a non-centrosymmetric semiconductor results in a bulk photovoltaic current, which is contributed by real-space displacements (`shifts') of charged quasiparticles as they transit between Bloch states. The shift induced…

介观与纳米尺度物理 · 物理学 2025-08-12 Penghao Zhu , A. Alexandradinata

Non-Hermitian materials can not only exhibit exotic energy band structures but also an anomalous velocity induced by non-Hermitian anomalous Berry connection as predicted by the semiclassical equations of motion for Bloch electrons.…

介观与纳米尺度物理 · 物理学 2021-12-23 Jiong-Hao Wang , Yu-Liang Tao , Yong Xu

Time-reversal symmetry breaking is the basic physics concept underpinning many magnetic topological phenomena such as the anomalous Hall effect (AHE) and its quantized variant. The AHE has been primarily accompanied by a ferromagnetic…

A key step towards dissipationless transport devices is the quantum anomalous Hall effect, which is characterized by an integer quantized Hall conductance in a ferromagnetic insulator with strong spin-orbit coupling. In this work, the…

介观与纳米尺度物理 · 物理学 2013-08-29 Hai-Zhou Lu , Shun-Qing Shen

The electrical Hall effect is the production of a transverse voltage under an out-of-plane magnetic field. Historically, studies of the Hall effect have led to major breakthroughs including the discoveries of Berry curvature and the…

A new type of linear response Hall effect is predicted in time-reversal-invariant systems with built-in electric field at zero magnetic field. The Hall response results from a quantum Magnus effect where a self-rotating Bloch electron…

介观与纳米尺度物理 · 物理学 2019-11-27 Michał Papaj , Liang Fu

We propose an ultrafast all-optical anomalous Hall effect in two-dimensional (2D) semiconductors of hexagonal symmetry such as gapped graphene (GG), transition metal dichalcogenides (TMDCs), and hexagonal boron nitride (h-BN). To induce…

介观与纳米尺度物理 · 物理学 2020-07-28 S. Azar Oliaei Motlagh , Vadym Apalkov , Mark I. Stockman
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