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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…

介观与纳米尺度物理 · 物理学 2010-12-01 Di Xiao , Ming-Che Chang , Qian Niu

I generalize the concept of Berry's geometrical phase for quasicyclic Hamiltonians to the case in which the ground state evolves adiabatically to an excited state after one cycle, but returns to the ground state after an integer number of…

超导电性 · 物理学 2009-10-31 A. A. Aligia

We derive the general formula giving the Berry phase for an arbitrary spin, having both magnetic-dipole and electric-quadrupole couplings with external time-dependent fields. We assume that the effective E and B fields remain orthogonal…

量子物理 · 物理学 2015-05-19 Marie-Anne Bouchiat , Claude Bouchiat

We address the controversy concerning the necessary conditions for the observation of Berry phases in disordered mesoscopic conductors. For this purpose we calculate the spin-dependent conductance of disordered two-dimensional structures in…

介观与纳米尺度物理 · 物理学 2009-11-10 Markus Popp , Diego Frustaglia , Klaus Richter

Entanglement and Berry phase are investigated in two interacting qubit systems. The XXZ spin interaction model with a slowly rotating magnetic field is employed for the interaction between the two qubits. We show how the anisotropy of…

量子物理 · 物理学 2008-03-12 Ai Min Chen , Sam Young Cho , Taeseung Choi

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,…

强关联电子 · 物理学 2014-02-20 Natalia Chepiga , Frédéric Michaud , Frédéric Mila

Recently by using quantized Berry phases, a prescription for a local characterization of gapped topological insulators is given. One requires the ground state is gapped and is invariant under some anti-unitary operation. A spin liquid which…

强关联电子 · 物理学 2015-06-25 Yasuhiro Hatsugai

We propose a Berry phase effect on the chiral degrees of freedom of a triangular magnetic molecule. The phase is induced by adiabatically varying an external electric field in the plane of the molecule via a spin-electric coupling mechanism…

量子物理 · 物理学 2016-12-22 Vahid Azimi Mousolou , Carlo M. Canali , Erik Sjöqvist

The energy eigenstates of a spin$-\frac{1}{2}$ particle in a magnetic field confined to a plane, define a planar spin. If the particle moves adiabatically around a loop in this plane, it picks up a topological Berry phase that can only be…

量子物理 · 物理学 2017-11-22 Erik Sjöqvist

We investigate the equilibrium property of a mesoscopic ring with spin orbit (SO) interaction. It is well known that for a normal mesoscopic ring threaded by a magnetic flux, the electron acquires a Berry phase that induces the persistent…

介观与纳米尺度物理 · 物理学 2015-06-25 Qing-feng Sun , X. C. Xie , Jian Wang

We have found a manifestation of spin-orbit Berry phase in the conductance of a mesoscopic loop with Rashba spin-orbit coupling placed in an external magnetic field perpendicular to the loop plane. In detail, the transmission probabilities…

介观与纳米尺度物理 · 物理学 2009-11-11 Maxim P. Trushin , Alexander L. Chudnovskiy

In the Hermitian regime, a Berry phase is always the real number. It may be imaginary for a non-Hermitian system, which leads to amplitude amplification or attenuation of an evolved quantum state. We study the dynamics of the non-Hermitian…

量子物理 · 物理学 2015-10-09 S. Lin , X. Z. Zhang , Z. Song

By considering an extended double-exchange model with spin-orbit coupling (SOC), we derive a general form of the Berry phase $\gamma$ that electrons pick up when moving around a closed loop. This form generalizes the well-known result valid…

强关联电子 · 物理学 2020-01-29 Shang-Shun Zhang , Hiroaki Ishizuka , Hao Zhang , Gábor B. Halász , Cristian D. Batista

We study the connection between Berry phases and quantum phase transitions of generic quantum many-body systems. Consider sequences of Berry phases associated to sequences of loops in the parameter space whose limit is a point. If the…

量子物理 · 物理学 2007-05-23 Alioscia Hamma

We have observed the Berry phase effect associated with interband coherence in topological surface states (TSSs) using two-color high-harmonic spectroscopy. This Berry phase accumulates along the evolution path of strong field-driven…

光学 · 物理学 2024-04-10 Ya Bai , Yang Jiang , Wenyang Zheng , Jiayin Chen , Shuo Wang , Candong Liu , Ruxin Li , Peng Liu

We propose the $\mathbb{Z}_Q$ Berry phase as a topological invariant for higher-order symmetry-protected topological (HOSPT) phases for two- and three-dimensional systems. It is topologically stable for electron-electron interactions…

强关联电子 · 物理学 2020-01-15 Hiromu Araki , Tomonari Mizoguchi , Yasuhiro Hatsugai

We calculate Berry's phase when the driving field, to which a spin-1/2 is coupled adiabatically, rather than the familiar classical magnetic field, is a quantum vector operator, of noncommuting, in general, components, e.g., the angular…

量子物理 · 物理学 2016-09-14 Pedro Aguilar , Chryssomalis Chryssomalakos , Edgar Guzman

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.…

介观与纳米尺度物理 · 物理学 2011-11-08 Ken-Ichiro Imura , Yositake Takane , Akihiro Tanaka

We consider the scattering of an atom by a sequence of two near-resonant standing light waves each formed by two running waves with slightly different wave vectors. Due to opposite detunings of the two standing waves and within the rotating…

量子物理 · 物理学 2013-02-21 Polina V. Mironova , Maxim A. Efremov , Wolfgang P. Schleich

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…

量子物理 · 物理学 2026-05-19 Pratik J. Barge , Qian Cao , Niklas Hörnedal , Aurélia Chenu , Kater W. Murch