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The dynamical effects of topological charge in two-dimensional QED can be expressed in terms of a topological order parameter via a Berry phase construction. The Berry phase describes the electric charge polarization of the vacuum in a…

High Energy Physics - Theory · Physics 2015-03-18 H. B. Thacker , Gabriel Wong

Berry's phase often appears in quantum two-level systems with a degeneracy. An example of such a system is a spin-1/2 particle in a magnetic field. As the magnetic field is slowly evolved through a closed path, the particle has been shown…

Other Condensed Matter · Physics 2009-09-15 Anthony Tyler , Roberto C. Ramos

We examine the spin-orbit coupling effects that appear when a wave carrying intrinsic angular momentum interacts with a medium. The Berry phase is shown to be a manifestation of the Coriolis effect in a non-inertial reference frame attached…

We theoretically investigate the phase of the de Haas - van Alphen oscillations in topological line-node semimetals. In these semimetals the chemical potential of charge carriers can essentially depend on the magnetic field, and this…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 G. P. Mikitik , Yu. V. Sharlai

Due to the potential application in quantum information process, geometric phase of interacting system arouse many interests. Some physicists concentrate on the system in pure classical envi- ronment, while others study the system in pure…

Quantum Physics · Physics 2012-02-20 Da-Bao Yang , Fu-Lin Zhang , Jing-Ling Chen

The geometrical Berry phase is key to understanding the behaviour of quantum states under cyclic adiabatic evolution. When generalised to non-Hermitian systems with gain and loss, the Berry phase can become complex, and should modify not…

Mesoscale and Nanoscale Physics · Physics 2022-05-06 Yaashnaa Singhal , Enrico Martello , Shraddha Agrawal , Tomoki Ozawa , Hannah Price , Bryce Gadway

The phase of a quantum state may not return to its original value after the system's parameters cycle around a closed path; instead, the wavefunction may acquire a measurable phase difference called the Berry phase. Berry phases typically…

Berry phase for a spin--1/2 particle moving in a flat spacetime with torsion is investigated in the context of the Einstein-Cartan-Dirac model. It is shown that if the torsion is due to a dense polarized background, then there is a Berry…

General Relativity and Quantum Cosmology · Physics 2009-01-07 M. Alimohammadi , A. Shariati

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 study the role of different orientations of an applied magnetic field as well as the interplay of structural asymmetries on the characteristics of eigenstates in a quantum ring system. We use a nearly analytical model description of the…

Mesoscale and Nanoscale Physics · Physics 2015-08-05 V. Lopes-Oliveira , L. K. Castelano , G. E. Marques , S. E. Ulloa , V. Lopez-Richard

It has been recently established that optoelectronic and non-linear transport experiments can give direct access to the dipole moment of the Berry curvature in non-magnetic and non-centrosymmetric materials. Thus far, non-vanishing Berry…

Mesoscale and Nanoscale Physics · Physics 2019-11-22 Raffaele Battilomo , Niccolo' Scopigno , Carmine Ortix

The Berry curvature dipole is a physical quantity that is expected to allow various quantum geometrical phenomena in a range of solid-state systems. Monolayer transition metal dichalcogenides provide an exceptional platform to modulate and…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Joolee Son , Kyung-Han Kim , Y. H. Ahn , Hyun-Woo Lee , Jieun Lee

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…

The physics of a quantum dot with electron-electron interactions is well captured by the so called "Universal Hamiltonian" if the dimensionless conductance of the dot is much higher than unity. Within this scheme interactions are…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Arijit Saha , Yuval Gefen , Igor Burmistrov , Alexander Shnirman , Alexander Altland

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…

Strongly Correlated Electrons · Physics 2020-01-29 Shang-Shun Zhang , Hiroaki Ishizuka , Hao Zhang , Gábor B. Halász , Cristian D. Batista

The Berry phase of a bipartite system described by a Heisenberg XXZ model driven by a one-site magnetic field is investigated. The effect of the Dzyaloshinski-Moriya (DM) anisotropic interaction on the Berry phase is discussed. It is found…

Quantum Physics · Physics 2008-08-19 Yue Zhou , Guo-Feng Zhang

Berry phases mix states of positive and negative energy in the propagation of fermions and bosons in external gravitational and electromagnetic fields and generate Zitterbewegung oscillations. The results are valid in any reference frame…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Giorgio Papini

We investigate the effect of the environment on a Berry phase measurement involving a spin-half. We model the spin+environment using a biased spin-boson Hamiltonian with a time-dependent magnetic field. We find that, contrary to naive…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Robert S. Whitney , Yuval Gefen

We develop a semiclassical theory for the dynamics of electrons in a magnetic Bloch band, where the Berry phase plays an important role. This theory, together with the Boltzmann equation, provides a framework for studying transport problems…

Condensed Matter · Physics 2009-10-28 M. C. Chang , Q. Niu

We point out that unitary representations of the Virasoro algebra contain Berry phases obtained by acting on a primary state with conformal transformations that trace a closed path on a Virasoro coadjoint orbit. These phases can be computed…

High Energy Physics - Theory · Physics 2017-11-22 Blagoje Oblak