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We present a general quantum kinetic theory of low-field magnetotransport in weakly disordered crystals that accounts fully for the interplay between electric-field induced interband coherence, Bloch-state scattering, and an external…

Mesoscale and Nanoscale Physics · Physics 2017-12-25 Akihiko Sekine , Dimitrie Culcer , Allan H. MacDonald

We investigate the hydrodynamic regime in metals with momentum-conserving electron-electron scattering. The conservation of momentum results in well-defined dynamics whose effects we investigate via the relevant continuity equations. We…

Mesoscale and Nanoscale Physics · Physics 2025-05-22 Nisarg Chadha , Subroto Mukerjee

When nanometric, noncoplanar spin textures with scalar spin chirality (SSC) are coupled to itinerant electrons, they endow the quasiparticle wavefunctions with a gauge field, termed Berry curvature, in a way that bears analogy to…

Adiabatic quantum pumping in one-dimensional lattices is extended by adding a tilted potential to probe better topologically nontrivial bands. This extension leads to almost perfectly quantized pumping for an arbitrary initial state…

Quantum Physics · Physics 2020-08-05 Yongguan Ke , Shi Hu , Bo Zhu , Jiangbin Gong , Yuri Kivshar , Chaohong Lee

The velocity field composed of the Berry connection from many-body wave functions and electromagnetic vector potential explains the energy-momentum balance during the reversible superconducting-normal phase transition in the presence of an…

Superconductivity · Physics 2023-11-21 Hiroyasu Koizumi

It's established that the nonlinear anomalous Nernst effect (NANE), originating from Berry curvature near the Fermi energy, is symmetry-permitted only when a single mirror symmetry exists in the transport plane of two-dimensional (2D)…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Ying-Li Wu , Xiao-Qin Yu

Graphene bilayers with layer antisymmetric strains are studied using the Dirac-Harper model for a pair of single layer Dirac Hamiltonians coupled by a one-dimensional moir\'e-periodic interlayer tunneling amplitude. This model hosts low…

Mesoscale and Nanoscale Physics · Physics 2021-08-13 Abigail Timmel , E. J. Mele

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…

Materials Science · Physics 2023-03-22 Xiaoxiong Liu , Stepan S. Tsirkin , Ivo Souza

The geometric structure of an energy band in a solid is fundamental for a wide range of many-body phenomena in condensed matter and is uniquely characterized by the distribution of Berry curvature over the Brillouin zone. In analogy to an…

The behavior of strongly interacting electrons in bands with Berry curvature is a problem of wide interest. In this paper, we study this problem by numerically studying a fluxed Hubbard-type model on square lattice. Using this model, we…

Strongly Correlated Electrons · Physics 2025-03-04 Shuai Yang , Zhiyu Dong , Yan Chen

Under the Born-Oppenheimer approximation, the electronic ground state evolves adiabatically and can accumulate geometrical phases characterized by the molecular Berry curvature. In this work, we study the effect of the molecular Berry…

Mesoscale and Nanoscale Physics · Physics 2022-02-23 Daniyar Saparov , Bangguo Xiong , Yafei Ren , Qian Niu

We consider in sufficient detail how the Berry phase arises in a rotating electric field in a model system with spin one. The goal is to help the student who first encountered this interesting problem, which is fraught with some subtleties…

Quantum Physics · Physics 2024-02-15 Abdaljalel Alizzi , Zurab K. Silagadze , Artem Uskov

Berry curvature does not show itself in the relative phase correlation of wave-functions at different spatial points in a metal unless the fermions have closed trajectories in momentum space, for example those around isolated impurities.…

Strongly Correlated Electrons · Physics 2026-01-21 Chandra M. Varma

A kinetic theory can be modified to incorporate triangle anomalies and the chiral magnetic effect by taking into account the Berry curvature flux through the Fermi surface. We show how such a kinetic theory can be derived from underlying…

High Energy Physics - Theory · Physics 2013-05-01 Dam Thanh Son , Naoki Yamamoto

Artificial crystals such as moir\'e superlattices can have a real-space periodicity much larger than the underlying atomic scale. This facilitates the presence of Bloch oscillations in the presence of a static electric field. We demonstrate…

Mesoscale and Nanoscale Physics · Physics 2023-11-23 Christophe De Beule , E. J. Mele

The orbital magnetic susceptibility of an electron gas in a periodic potential depends not only on the zero field energy spectrum but also on the geometric structure of cell-periodic Bloch states which encodes interband effects. In addition…

Mesoscale and Nanoscale Physics · Physics 2016-10-26 Frédéric Piéchon , Arnaud Raoux , Jean-Noël Fuchs , Gilles Montambaux

We comment on the relation between Berry phase and quantized Hall conductivities for charge and spin currents in some Bloch states, such as Bloch electrons in the presence of electromagnetic fields and quasiparticles in the vortex states of…

Superconductivity · Physics 2015-06-24 Jun Goryo , Mahito Kohmoto

Recently, the semiclassical theory of the anomalous Hall effect induced by the Berry curvature in Bloch bands has been introduced. The theory operates only with gauge invariant concepts, that have a simple semiclassical interpretation and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 N. A. Sinitsyn

We study theoretically the influence of Berry phase on the real-time dynamics of the single particle focusing on the diffusive dynamics, i.e., the time-dependence of the distribution function. Our model can be applied to the real-time…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 Kou Misaki , Seiji Miyashita , Naoto Nagaosa

Several emergent phenomena and phases in solids arise from configurations of the electronic Berry phase in momentum space that are similar to gauge field configurations in real space such as magnetic monopoles. We show that the…

Strongly Correlated Electrons · Physics 2015-10-07 Shudan Zhong , Joseph Orenstein , Joel E. Moore