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The band geometric properties of quantum materials play an elemental role in the linear and nonlinear transport of electrons. In this paper, we propose that the interplay of the Berry curvature, the orbital magnetic moment and the Lorentz…

Mesoscale and Nanoscale Physics · Physics 2022-03-22 Shibalik Lahiri , Tanmay Bhore , Kamal Das , Amit Agarwal

In this paper we define a non-dynamical phase for a spin-1/2 particle in a rotating magnetic field in the non-adiabatic non-cyclic case, and this phase can be considered as a generalized Berry phase. We show that this phase reduces to the…

Quantum Physics · Physics 2012-12-11 Siamak S. Gousheh , Azadeh Mohammadi , Leila Shahkarami

We analytically calculate the electronic friction tensor for a molecule near a metal surface in the case that the electronic Hamiltonian is complex-valued, e.g. the case that there is spin-orbit coupling and/or an external magnetic field.…

Materials Science · Physics 2021-11-29 Hung-Hsuan Teh , Wenjie Dou , Joseph E. Subotnik

We evaluate the Berry phase for a "missing" family of the square integrable wavefunctions for the linear harmonic oscillator, which cannot be derived by the separation of variables (in a natural way). Instead, it is obtained by the action…

Quantum Physics · Physics 2012-03-21 Sergei K. Suslov

In the Aharonov-Bohm setup, a double-slit experiment, when a long but thin solenoid of current is introduced between the two coherent beams of electrons behind the slits, an extra phase difference between the interfering beams appears, as…

Quantum Physics · Physics 2025-10-17 Ashok K. Singal

The topological phases of matter are characterized using the Berry phase, a geometrical phase, associated with the energy-momentum band structure. The quantization of the Berry phase, and the associated wavefunction polarization, manifest…

Emergent electromagnetism in magnets originates from the strong coupling between conduction electron spins and those of noncollinear ordered moments and the consequent Berry phase. This offers possibilities to develop new functions of…

Mesoscale and Nanoscale Physics · Physics 2021-12-07 Daichi Kurebayashi , Naoto Nagaosa

The order parameter of a finite system with a spontaneously broken continuous global symmetry acts as a quantum mechanical rotor. Both antiferromagnets with a spontaneously broken $SU(2)_s$ spin symmetry and massless QCD with a broken…

Other Condensed Matter · Physics 2008-11-26 S. Chandrasekharan , F. -J. Jiang , M. Pepe , U. -J. Wiese

A simple model of electron-vibron interactions in buckminsterfullerene ions is solved semiclassically. Electronic degeneracies of C$_{60}$$^{n-}$ induce dynamical Jahn-Teller distortions, which are unimodal for $n\!\ne\!3$ and bimodal for…

Condensed Matter · Physics 2009-10-22 Assa Auerbach

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

We present a quantized non-Abelian Berry phase for time reversal invariant systems such as quantum spin Hall effect. Ordinary Berry phase is defined by an integral of Berry's gauge potential along a loop (an integral of the Chern-Simons…

Mesoscale and Nanoscale Physics · Physics 2010-02-03 T. Fukui , T. Fujiwara

The Aharonov-Bohm effect is a physical phenomenon where the vector potential induces a phase shift of electron wavepackets in regions with zero magnetic fields. It is often referred to as evidence for the physical reality of the vector…

Mesoscale and Nanoscale Physics · Physics 2025-06-26 Francesco Di Colandrea , Nazanin Dehghan , Filippo Cardano , Alessio D'Errico , Ebrahim Karimi

The effect of inter-subsystem couplings on the Berry phase of a composite system as well as that of its subsystem is investigated in this paper. We analyze two coupled spin-$\frac 1 2 $ particles with one driven by a quantized field as an…

Quantum Physics · Physics 2009-11-10 L. C. Wang , H. T. Cui , X. X. Yi

We consider the electron transport through a single molecule magnet transistor in the presence of a local transverse magnetic field and ac-driven gate voltage. We calculate the conductance as a function of the electron energy and transverse…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 Gabriel Gonzalez

y formally diagonalizing with accuracy $\hbar$ the Hamiltonian of electrons in a crystal subject to electromagnetic perturbations, we resolve the debate on the Hamiltonian nature of semiclassical equations of motion with Berry-phase…

Other Condensed Matter · Physics 2016-08-16 Pierre Gosselin , Fehrat Ménas , Alain Bérard , Hervé Mohrbach

The interplay among symmetry of lattices, electronic correlations, and Berry phase of the Bloch states in solids has led to fascinating quantum phases of matter. A prototypical system is the magnetic Weyl candidate SrRuO3, where designing…

The effect of time-varying electromagnetic fields on electron coherence is investigated. A sinusoidal electromagnetic field produces a time varying Aharonov-Bohm phase. In a measurement of the interference pattern which averages over this…

Quantum Physics · Physics 2009-11-10 Jen-Tsung Hsiang , L. H. Ford

The model of diamagnetic phase transition in beryllium which takes into account the quasi 2-dimensional shape of the Fermi surface of beryllium is proposed. It explains correctly the recent experimental data on observation of…

Strongly Correlated Electrons · Physics 2009-11-11 N. Logoboy , W. Joss

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

Recent experiments suggest quantum interference effects in the Coulomb drag of double-layer graphene systems. By accounting for correlated interlayer impurity scattering under a weak magnetic field, our theoretical results reveal drag…

Mesoscale and Nanoscale Physics · Physics 2024-07-12 Jianghui Pan , Lijun Zhu , Xiaoqiang Liu , Lin Li , Changgan Zeng , Ji Feng