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Ever since its discovery, the Berry phase has permeated through all branches of physics. Over the last three decades, it was gradually realized that the Berry phase of the electronic wave function can have a profound effect on material…

Mesoscale and Nanoscale Physics · Physics 2010-12-01 Di Xiao , Ming-Che Chang , Qian Niu

We report on the study of the non-trivial Berry phase in superconducting multiterminal quantum dots biased at commensurate voltages. Starting with the time-periodic Bogoliubov-de Gennes equations, we obtain a tight binding model in the…

Mesoscale and Nanoscale Physics · Physics 2020-12-15 Benoit Doucot , Romain Danneau , Kang Yang , Jean-Guy Caputo , Régis Mélin

We investigate the Uhlmann phase, a generalization of the celebrated Berry phase, for Bose-Einstein condensates (BECs) at finite temperature. The Uhlmann phase characterizes topological properties of mixed states, in contrast to the Berry…

Quantum Gases · Physics 2025-03-20 Chang-Yan Wang , Yan He

The exploration of the Berry phase in classical mechanics has opened new frontiers in understanding the dynamics of physical systems, analogous to quantum mechanics. Here, we show controlled accumulation of the Berry phase in a two-level…

Quantum Physics · Physics 2025-04-04 Kazi T. Mahmood , M. Arif Hasan

The photocurrent in an optically active metal is known to contain a component that switches sign with the helicity of the incident radiation. At low frequencies, this current depends on the orbital Berry phase of the Bloch electrons via the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 J. E. Moore , J. Orenstein

The modern theory of charge polarization in solids is based on a generalization of Berry's phase. Its possible quantization lies at the heart of our understanding of all systems with topological band structures that were discovered over the…

The quantum metric and Berry curvature capture essential properties of non-trivial Bloch states and underpin many fascinating phenomena. However, it becomes increasingly evident that a more comprehensive understanding of quantum state…

Strongly Correlated Electrons · Physics 2025-08-07 Alexander Avdoshkin , Johannes Mitscherling , Joel E. Moore

We provide a unified semiclassical theory for thermoelectric responses of any observable represented by an operator $\hat{\boldsymbol{\theta}}$ that is well-defined in periodic crystals. The Einstein and Mott relations are established…

Mesoscale and Nanoscale Physics · Physics 2020-02-14 Liang Dong , Cong Xiao , Bangguo Xiong , Qian Niu

Berry phase of simple harmonic oscillator is considered in a general representation. It is shown that, Berry phase which depends on the choice of representation can be defined under evolution of the half of period of the classical motions,…

Quantum Physics · Physics 2007-05-23 JeongHyeong Park , Dae-Yup Song

Spontaneous symmetry breaking is central to the description of interacting phases of matter. Here we reveal a new mechanism through which a driven interacting system subject to a time-reversal symmetric driving field can spontaneously…

Mesoscale and Nanoscale Physics · Physics 2020-12-09 Mark S. Rudner , Justin C. W. Song

Three-dimensional topological insulators are characterized by the presence of protected gapless spin helical surface states. In realistic samples these surface states are extended from one surface to another, covering the entire sample.…

Mesoscale and Nanoscale Physics · Physics 2011-11-08 Ken-Ichiro Imura , Yositake Takane , Akihiro Tanaka

The complexity of itinerant and many-body nature in Bardeen-Cooper-Schrieffer (BCS) wavefunctions has traditionally led to the use of coarse-grained order parameters for describing currents in superconductors (SC), rather than directly…

Superconductivity · Physics 2025-02-25 B. Q. Song , J. D. H. Smith , J. Wang

We study a two-dimensional charged particle interacting with a magnetic field, in general non-homogeneous, perpendicular to the plane, a confining potential, and a point interaction. If the latter moves adiabatically along a loop the state…

Quantum Physics · Physics 2007-05-23 Pavel Exner , Vladimir A. Geyler

The binary compounds FeSi, RuSi, and OsSi are chiral insulators crystallizing in the space group P2_13 which is cubic. By means of ab initio calculations we find for these compounds a non-vanishing electronic Berry phase, the sign of which…

Materials Science · Physics 2015-06-17 J. Kubler , B. Yan , C. Felser

The properties that quantify photonic topological insulators (PTIs), Berry phase, Berry connection, and Chern number, are typically obtained by making analogies between classical Maxwell's equations and the quantum mechanical…

Quantum Physics · Physics 2017-06-08 S. Ali Hassani Gangaraj , Mário G. Silveirinha , George W. Hanson

We consider Bloch electrons in the electromagnetic field and argue the relation between the Berry phase and the quantized Hall conductivity in three-dimension. The Berry phase we consider here is induced by the adiabatic change of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Goryo , M. Kohmoto

We study a classical two-state stochastic system in a sea of substrates and products (absorbing states), which can be interpreted as a single Michaelis-Menten catalyzing enzyme or as a channel on a cell surface. We introduce a novel general…

Quantitative Methods · Quantitative Biology 2009-11-13 N. A. Sinitsyn , Ilya Nemenman

We study theoretically the optical response of the surface states of a topological insulator, especially the generation of helicity-dependent direct current by circularly polarized light. Interestingly, the dominant current, due to an…

Materials Science · Physics 2013-05-29 Pavan Hosur

The effect of the Berry phase is included explicitly in the wavefunction describing conduction electrons in a crystal composed of periodically arrayed Jahn-Teller centers that have conically intersecting potential energy surfaces. The Berry…

Condensed Matter · Physics 2009-10-31 H. Koizumi , T. Hotta , Y. Takada

Topological properties lie at the heart of many fascinating phenomena in solid state systems such as quantum Hall systems or Chern insulators. The topology can be captured by the distribution of Berry curvature, which describes the geometry…

Quantum Gases · Physics 2016-05-31 N. Fläschner , B. S. Rem , M. Tarnowski , D. Vogel , D. -S. Lühmann , K. Sengstock , C. Weitenberg