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The electronic properties of graphene have been intensively investigated over the last decade, and signatures of the remarkable features of its linear Dirac spectrum have been displayed using transport and spectroscopy experiments. In…

The Berry-phase mediated valley-selected skew scattering in alpha-T3 lattices is demonstrated. The interplay of Lorentz and Berry forces in position and momentum spaces is revealed and analyzed. Many-body screening of the electron-impurity…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 Danhong Huang , Andrii Iurov , Hong-Ya Xu , Ying-Cheng Lai , Godfrey Gumbs

We theoretically investigate how the Berry curvature, which arises in multi-band structures when the electrons can be described by an effective single-band Hamiltonian, affects the superconducting properties of two-dimensional electronic…

Mesoscale and Nanoscale Physics · Physics 2024-03-28 Florian Simon , Louis Pagot , Marc Gabay , Mark O. Goerbig

Berry curvature dipole plays an important role in various nonlinear quantum phenomena. However, the maximum symmetry allowed for nonzero Berry curvature dipole in the transport plane is a single mirror line, which strongly limits its…

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…

Quantum Physics · Physics 2016-09-14 Pedro Aguilar , Chryssomalis Chryssomalakos , Edgar Guzman

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

he Jaynes-Cummings model (JCM) is an very important model for describing interaction between quantized electromagnetic fields and atoms in cavity quantum electrodynamics (QED). This model is generalized in many different direction since it…

Quantum Physics · Physics 2009-11-13 Shen-Ping Bu , Guo-Feng Zhang , Jia Liu , Zi-Yu Chen

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

The Berry phase acquired by an electromagnetic field undergoing an adiabatic and cyclic evolution in phase space is a purely quantum-mechanical effect of the field. However, this phase is usually accompanied by a dynamical contribution and…

Quantum Physics · Physics 2012-03-05 Shi-Biao Zheng

We propose the lattice QCD calculation of the Berry phase which is defined by the ground state of a single fermion. We perform the ground-state projection of a single-fermion propagator, construct the Berry link variable on a momentum-space…

High Energy Physics - Lattice · Physics 2016-08-01 Arata Yamamoto

We show that the charge conductivity for impurity free multi band electronic systems can be expressed in terms of the diagonal and non-diagonal elements of the Zitterbewegung amplitudes while the Berry curvature and the Chern number is…

Mesoscale and Nanoscale Physics · Physics 2010-11-11 József Cserti , Gyula Dávid

Berry phase is a very general concept. It is applied here to families of solutions of the Dirac equation with different values of spin. The value of the Berry phase in the spin space is given by the same expression as was found before in…

Quantum Physics · Physics 2020-12-02 Iwo Bialynicki-Birula , Zofia Bialynicka-Birula

We present a unified view of the Berry phase of a quantum system and its entanglement with surroundings. The former reflects the nonseparability between a system and a classical environment as the latter for a quantum environment, and the…

Quantum Physics · Physics 2013-12-30 Fu-Lin Zhang , Mai-Lin Liang

The Berry curvature provides a powerful tool to unify several branches of science through their geometrical aspect: topology, energy bands, spin and vector fields. While quantum defects -- phase vortices and skyrmions -- have been in the…

Topological defects in Bloch bands, such as Dirac points in graphene, and their resulting Berry phases play an important role for the electronic dynamics in solid state crystals. Such defects can arise in systems with a two-atomic basis due…

The conservation of physical quantities under coordinate transformations, known as gauge invariance, has been the foundation of theoretical frameworks in both quantum and classical theory. The finding of gauge-invariant quantities has…

Quantum Physics · Physics 2021-05-03 Sunkyu Yu , Xianji Piao , Namkyoo Park

Berry phases have long been known to significantly alter the properties of periodic systems, resulting in anomalous terms in the semiclassical equations of motion describing wave-packet dynamics. In non-Hermitian systems, generalizations of…

Mesoscale and Nanoscale Physics · Physics 2024-12-04 Bar Alon , Roni Ilan , Moshe Goldstein

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…

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

This work brings forward an alternative experimental approach to infer the topological character of phase transitions in insulators. This method relies on subjecting the target system to a set of external fields, each of which consists of…

Mesoscale and Nanoscale Physics · Physics 2021-12-08 Panagiotis Kotetes

In this paper we obtain Berry phase from Schr\"odinger equation. For vector states, basic kets are coherent states in real parameterization. We calculate Berry phase for spin S=1/2 and spin S=1 in SU(2) group and Berry phase for spin S=1 in…

Mathematical Physics · Physics 2011-04-01 Khikmat Kh. Muminov , Yousef Yousefi