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We investigate the properties of antiferromagnetic spin-S ladders with the help of local Berry phases defined by imposing a twist on one or a few local bonds. In gapped systems with time reversal symmetry, these Berry phases are quantized,…

Strongly Correlated Electrons · Physics 2014-02-20 Natalia Chepiga , Frédéric Michaud , Frédéric Mila

The Berry phase is a geometric phase acquired during adiabatic evolution over a closed loop in parameter space. It plays an essential role in geometric quantum gates and other phase-based protocols. In non-Hermitian systems, the Berry phase…

Quantum Physics · Physics 2026-05-19 Pratik J. Barge , Qian Cao , Niklas Hörnedal , Aurélia Chenu , Kater W. Murch

Experimentally feasible methods to determine the Berry phase, a fundamental quantity characterizing a quantum material, are often needed in applications. We develop an approach to detecting the Berry phase by using a class of…

Mesoscale and Nanoscale Physics · Physics 2024-08-23 Li-Li Ye , Cheng-Zhen Wang , Ying-Cheng Lai

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

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

Electron motion in crystals is governed by the coupling between crystal momentum and internal degrees of freedom such as spin implicit in the band structure. The description of this coupling in terms of a momentum-dependent effective field…

Mesoscale and Nanoscale Physics · Physics 2019-12-24 F. Couëdo , H. Irie , T. Akiho , K. Suzuki , K. Onomitsu , K. Muraki

We show that in a layered metal, the angle dependent, finite frequency, interlayer magnetoresistance is altered due to the presence of a non-zero Berry curvature at the Fermi surface. At zero frequency, we find a conservation law which…

Mesoscale and Nanoscale Physics · Physics 2013-10-02 Anthony R. Wright , Ross H. McKenzie

We propose a topological quantum phase transition for quantum states with different Berry phases in hole-doped III-V semiconductor quantum wells with bulk and structure inversion asymmetry. The Berry phase of the occupied Bloch states can…

Mesoscale and Nanoscale Physics · Physics 2007-08-09 Bin Zhou , Chao-Xing Liu , Shun-Qing Shen

Quantum evolution of particles under strong fields can be essentially captured by a small number of quantum trajectories that satisfy the stationary phase condition in the Dirac-Feynmann path integrals. The quantum trajectories are the key…

Mesoscale and Nanoscale Physics · Physics 2014-01-17 Fan Yang , Ren-Bao Liu

We consider an all in-fiber optical modulator based on a ring resonator configuration. The case of adiabatic to nonadiabatic transition is considered, where the geometrical (Berry) phase acquired in a round trip along the ring changes…

Quantum Physics · Physics 2007-05-23 Eyal Buks

We show the presence of a topological (Berry) phase in the time evolution of a mixed state. For the case of mixed neutrinos, the Berry phase is a function of the mixing angle only.

High Energy Physics - Theory · Physics 2009-10-31 Massimo Blasone , Peter A. Henning , Giuseppe Vitiello

In quantum mechanics, a quantum wavepacket may acquire a geometrical phase as it evolves along a cyclic trajectory in parameter space. In condensed matter systems, the Berry phase plays a crucial role in fundamental phenomena such as the…

We investigate the effect of the Berry phase on quadrupoles that occur for example in the low-energy description of spin models. Specifically we study here the one-dimensional bilinear-biquadratic spin-one model. An open question for many…

Strongly Correlated Electrons · Physics 2014-07-15 Shijie Hu , Ari M. Turner , Karlo Penc , Frank Pollmann

Berry phases occur when a system adiabatically evolves along a closed curve in parameter space. This tutorial-like article focuses on Berry phases accumulated in real space. In particular, we consider the situation where an electron…

Strongly Correlated Electrons · Physics 2014-05-06 Karin Everschor-Sitte , Matthias Sitte

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

High-order terahertz (THz) sideband generation (HSG) in semiconductors is a phenomenon with physics similar to high-order harmonic generation but in a much lower frequency regime. It was found that the electron-hole pairs excited by a weak…

Mesoscale and Nanoscale Physics · Physics 2014-04-17 Fan Yang , Xiaodong Xu , Ren-Bao Liu

Despite their apparent simplicity, coupled oscillators exhibit surprisingly complex phenomena. Two notable examples are Berry phase (a geometric or topological aspect of the oscillators' memory) and non-Hermiticity (the often…

Classical Physics · Physics 2026-03-05 J. R. Lane , C. Guria , J. Höller , T. D. Montalvo , Y. S. S. Patil , J. G. E. Harris

The geometric phase (Berry phase) of an electronic wave function is the fundamental basis of the topological properties in solids. Modulating band structure provides a tuning knob for the Berry phase, and in the extreme case drives a…

Materials Science · Physics 2022-01-12 Apurva Gaikwad , Song Sun , Peipei Wang , Liyuan Zhang , Jennifer Cano , Xi Dai , Xu Du

Berry's geometric phase naturally appears when a quantum system is driven by an external field whose parameters are slowly and cyclically changed. A variation in the coupling between the system and the external field can also give rise to a…

We report the experimental observation of two distinct Berry phases ($+\frac{2\pi}{3}$ and $-\frac{2\pi}{3}$) generated on the surface of a M\"{o}bius cavity resonator at microwave frequencies supporting the TE$_{1,0,n}$ mode family. This…

Classical Physics · Physics 2026-04-09 E. C. I. Paterson , M. E. Tobar , M. Goryachev , J. Bourhill