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The Berry phase understanding of electronic properties has attracted special interest in condensed matter physics, leading to phenomena such as the anomalous Hall effect and the topological Hall effect. A non-vanishing Berry phase, induced…

A new nonlinear scheme of high harmonics generation in a wide class of time-reversal invariant materials with broken spatial inversion symmetry (where recently the nonlinear Hall effect has been established) due to the nontrivial topology…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 H. K. Avetissian , G. F. Mkrtchian

We study the polarization transport of transverse phonons by adopting a new approach based on the quantum mechanics of spin-orbit interactions. This approach has the advantage of being apt for incorporating fluctuations in the system. The…

Mathematical Physics · Physics 2011-07-04 Mohammad Mehrafarin , Reza Torabi

Berry curvature is ubiquitous in condensed matter physics and materials science. Its main consequence is the intrinsic anomalous Hall effect (AHE) in magnetic materials and plays a pivotal role in spintronic applications and quantum…

Materials Science · Physics 2026-05-07 Satoshi Okamoto , Adriana Moreo , Naoto Nagaosa , Stuart S. P. Parkin

By considering an extended double-exchange model with spin-orbit coupling (SOC), we derive a general form of the Berry phase $\gamma$ that electrons pick up when moving around a closed loop. This form generalizes the well-known result valid…

Strongly Correlated Electrons · Physics 2020-01-29 Shang-Shun Zhang , Hiroaki Ishizuka , Hao Zhang , Gábor B. Halász , Cristian D. Batista

Analytical calculations and micromagnetic simulations are used to determine the Berry curvature and topological Hall effect (THE) due to conduction electrons in small ferromagnetic particles. Our focus is on small particles of…

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…

Mesoscale and Nanoscale Physics · Physics 2021-09-01 Ilya Tokatly , Dmitry Gulevich , Ivan Iorsh

Recently, the topological flat bands and spin Hall effect have been experimentally observed in the AB-stacked MoTe$_2$/WSe$_2$ heterostructures. In this work, we systematically study the Berry curvature effects in moir\'{e} transition metal…

Mesoscale and Nanoscale Physics · Physics 2023-03-01 Jin-Xin Hu , Ying-Ming Xie , K. T. Law

The integrated Berry curvature is a geometric property that has dramatic implications for material properties. This study investigates the integrated Berry curvature and other contributions to the anomalous Hall effect in CrGeTe$_3$ as a…

The Bogoliubov quasiparticles move in a practically uniform magnetic field in the vortex state of high temperature cuprate superconductors. Do the quasiparticles experience a Lorentz force when set in motion by an externally applied heat…

Superconductivity · Physics 2015-03-16 Vladimir Cvetkovic , Oskar Vafek

We study the magnetoelectric and magnetothermal transport properties of noncentrosymmetric metals using semiclassical Boltzmann transport formalism by incorporating the effects of Berry curvature and orbital magnetic moment. These effects…

Mesoscale and Nanoscale Physics · Physics 2021-11-03 Ojasvi Pal , Bashab Dey , Tarun Kanti Ghosh

The anomalous Hall effect and magneto-optical Kerr effect have traditionally been associated with ferromagnets, but recent studies reveal their presence in noncollinear antiferromagnets due to nonzero Berry curvature despite negligible net…

Strongly Correlated Electrons · Physics 2025-10-23 Camron Farhang , Weihang Lu , Yuchuan Yao , Pratap Pal , Shaofeng Han , Jian-Guo Zheng , Hua Chen , Chang-Beom Eom , Jing Xia

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…

Mesoscale and Nanoscale Physics · Physics 2024-12-05 Ayano Nakamura , Shinichi Nishihaya , Hiroaki Ishizuka , Markus Kriener , Yuto Watanabe , Masaki Uchida

We study the quantum nonlinear planar Hall effect in bilayer graphene under a steady in-plane magnetic field. When time-reversal symmetry is broken by the magnetic field, a charge current occurs in the second-order response to an external…

Mesoscale and Nanoscale Physics · Physics 2022-12-29 Narjes Kheirabadi , Abdollah Langari

The semiclassical evolution of spinning particles has recently been re-examined in condensed matter physics, high energy physics, and optics, resulting in the prediction of the intrinsic spin Hall effect associated with the Berry phase. A…

Optics · Physics 2008-11-30 K. Y. Bliokh , A. Niv , V. Kleiner , E. Hasman

The Berry curvature, resembling the magnetic field in reciprocal space, offers a captivating avenue for exploring unique electromagnetic phenomena devoid of real-space analogs. Here, we investigate the emergent electromagnetic induction by…

Mesoscale and Nanoscale Physics · Physics 2023-12-01 Wei Luo , Wei Chen , D. Y. Xing

The spin-dependent Berry force is a genuine effect of Berry curvature in molecular dynamics, which can dramatically result in spatial spin separation and change of reaction pathways. However, the way to probe the effect of Berry force…

Atomic Physics · Physics 2023-07-14 Ming Zhang , Xiaoyu Mi , Linfeng Zhang , Chengyin Wu , Zheng Li

Based on quantum mechanical approach the polarization transport of photons which propagate in a medium with slow varying refractive index is studied. The photon polarizations are separated in opposite directions normal to the ray which is…

Quantum Physics · Physics 2015-05-19 Reza Torabi

Optical rectification of intense, circularly polarized light penetrating a material generates a static magnetic field aligned with the light's direction and proportional to its intensity. Recent experiments have unveiled a substantial,…

Optics · Physics 2023-10-16 R. Merlin

We demonstrate that there exist frequency domain Berry curvature in the wave function of photons in dispersive optical systems. This property arises from the frequency dispersion of its dielectric function, which makes Maxwell equations a…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Shiyue Deng , Yang Gao , Qian Niu