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Berry phases strongly affect the properties of crystalline materials, giving rise to modifications of the semiclassical equations of motion that govern wave-packet dynamics. In non-Hermitian systems, generalizations of the Berry connection…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 Navot Silberstein , Jan Behrends , Moshe Goldstein , Roni Ilan

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…

Mesoscale and Nanoscale Physics · Physics 2024-12-04 Bar Alon , Roni Ilan , Moshe Goldstein

We investigate the anomalous effects due to the Berry correction and the considerable perturbations in the silicene-like hexagonal lattice system. The Berry curvature in periodic Bloch band system which related to the electromagnetic field…

Mesoscale and Nanoscale Physics · Physics 2018-07-31 Chen-Huan Wu

Excitons are neutral objects, that, naively, should have no response to a uniform, electric field. Could the Berry curvature of the underlying electronic bands alter this conclusion? In this work, we show that Berry curvature can indeed…

Strongly Correlated Electrons · Physics 2021-04-21 Swati Chaudhary , Christina Knapp , Gil Refael

Applying time-varying magnetic fields to Weyl metals, a pair of Weyl points become oscillating. This oscillating monopole and anti-monopole pair gives rise to AC Berry magnetic fields, responsible for the emergence of Berry electric fields,…

Strongly Correlated Electrons · Physics 2017-02-28 Iksu Jang , Jaeho Han , Ki-Seok Kim

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…

Mesoscale and Nanoscale Physics · Physics 2010-04-05 P. A. Horvathy

It has recently been realized that the first-order moment of the Berry curvature, namely the Berry curvature dipole (BCD) can give rise to non-linear current in a wide variety of time-reversal invariant and non-centrosymmetric materials.…

Mesoscale and Nanoscale Physics · Physics 2021-05-31 Sai Satyam Samal , S. Nandy , Kush Saha

The emergence of chiral anomaly entails various fascinating phenomena such as anomalous quantum Hall effect and chiral magnetic effect in different branches of (non-)Hermitian physics. While in the single-particle picture, anomalous…

Mesoscale and Nanoscale Physics · Physics 2024-02-19 Sharareh Sayyad

We develop a theory for the electrical and thermal transverse linear response functions such as the Hall, Nernst and thermal Hall effects in magnetic materials that harbor topological spin textures like skyrmions. In addition to the…

Mesoscale and Nanoscale Physics · Physics 2025-08-05 Zachariah Addison , Lauren Keyes , Mohit Randeria

We develop a theory of Berry phase effect in anomalous transport in ferromagnets driven by statistical forces such as the gradient of temperature or chemical potential. Here a charge Hall current arises from the Berry phase correction to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Di Xiao , Yugui Yao , Zhong Fang , Qian Niu

Topological wave-packet dynamics provide a powerful framework for studying quantum transport in topological materials. However, extending this approach to non-Hermitian quantum systems presents several important challenges, primarily due to…

Mesoscale and Nanoscale Physics · Physics 2025-01-22 Weicen Dong , Qing-Dong Jiang , Matteo Baggioli

The Berry curvature characterizes one aspect of the geometry of quantum states. It materializes, among other consequences, as an anomalous velocity of wave packets. In non-Hermitian systems, wave packet dynamics is enriched by additional…

Quantum Physics · Physics 2025-03-19 Jan Behrends , Roni Ilan , Moshe Goldstein

Chiral anomaly and the novel quantum phenomena it induces have been widely studied for Dirac and Weyl fermions. In most typical cases, the Lorentz covariance is assumed and thus the linear dispersion relations are maintained. However, in…

Mesoscale and Nanoscale Physics · Physics 2022-01-21 Lan-Lan Gao , Xu-Guang Huang

We investigate linear and nonlinear transverse planar transport phenomena (viz. linear and nonlinear Hall and Nernst coefficients) induced by chiral anomaly in three-dimensional spin-orbit coupled metallic systems. Unlike Weyl semimetals,…

Mesoscale and Nanoscale Physics · Physics 2025-09-11 Rishi G. Gopalakrishnan , Binayyak B. Roy , Gargee Sharma , Sumanta Tewari

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 Berry curvature of a Bloch band can be interpreted as a local magnetic field in reciprocal space. This analogy can be extended by defining an electric field analog in reciprocal space which arises from the time-dependent Berry…

Quantum Gases · Physics 2018-09-12 Swati Chaudhary , Manuel Endres , Gil Refael

The appearance of a Hall conductance necessarily requires breaking of time-reversal symmetry, either by an external magnetic field or by the internal magnetization of a material. However, as a second response, Hall dissipationless…

Mesoscale and Nanoscale Physics · Physics 2021-07-23 Carmine Ortix

Geometrical properties of energy bands underlie fascinating phenomena in a wide-range of systems, including solid-state materials, ultracold gases and photonics. Most famously, local geometrical characteristics like the Berry curvature can…

Optics · Physics 2017-12-20 Martin Wimmer , Hannah M. Price , Iacopo Carusotto , Ulf Peschel

We establish non-Hermitian topological mechanics in one dimensional (1D) and two dimensional (2D) lattices consisting of mass points connected by meta-beams that lead to odd elasticity. Extended from the "non-Hermitian skin effect" in 1D…

Soft Condensed Matter · Physics 2020-05-19 Di Zhou , Junyi Zhang

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…

Mesoscale and Nanoscale Physics · Physics 2022-08-01 Amar Bharti , M. S. Mrudul , Gopal Dixit
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