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When quasiparticles move in condensed matters, the texture of their internal quantum structure as a function of position and momentum can give rise to Berry phases that have profound effects on materials properties. Seminal examples include…

Mesoscale and Nanoscale Physics · Physics 2023-08-29 Hongyi Yu , Mingxing Chen , Wang Yao

Several emergent phenomena and phases in solids arise from configurations of the electronic Berry phase in momentum space that are similar to gauge field configurations in real space such as magnetic monopoles. We show that the…

Strongly Correlated Electrons · Physics 2015-10-07 Shudan Zhong , Joseph Orenstein , Joel E. Moore

We study the energy spectrum of magnons in a ferromagnet with topologically nontrivial magnetization profile. In the case of inhomogeneous magnetization corresponding to a metastable state of ferromagnet, the spin-wave equation of motion…

Materials Science · Physics 2009-11-11 V. K. Dugaev , P. Bruno , B. Canals , C. Lacroix

Phases arising from cyclic processes are fundamental in physics, bridging quantum and classical domains and providing deeper insights into the topology and dynamics of physical systems. This study investigates the accumulation of a…

Classical Physics · Physics 2026-05-13 Kazi T. Mahmood , M. Arif Hasan

The relationship is established between the Berry phase and spin crossover in condensed matter physics induced by high pressure. It is shown that the geometric phase has topological origin and can be considered as the order parameter for…

Strongly Correlated Electrons · Physics 2015-05-13 A. I. Nesterov , S. G. Ovchinnikov

It is shown that even for large spins $J$ the fundamental difference between integer and half-integer spins persists. In a quasi-classical description this difference enters via Berry's connection. This general phenomenon is derived and…

Quantum Physics · Physics 2016-09-08 V. A. Kalatsky , E. Müller--Hartmann , V. L. Pokrovsky , G. S. Uhrig

The Berry curvature of a Bloch band can be interpreted as a local magnetic field in reciprocal space. This analogy can be extended by defining an electric field analog in reciprocal space which arises from the time-dependent Berry…

Quantum Gases · Physics 2018-09-12 Swati Chaudhary , Manuel Endres , Gil Refael

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

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 behavior of strongly interacting electrons in bands with Berry curvature is a problem of wide interest. In this paper, we study this problem by numerically studying a fluxed Hubbard-type model on square lattice. Using this model, we…

Strongly Correlated Electrons · Physics 2025-03-04 Shuai Yang , Zhiyu Dong , Yan Chen

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…

By quantizing the semiclassical motion of excitons, we show that the Berry curvature can cause an energy splitting between exciton states with opposite angular momentum. This splitting is determined by the Berry curvature flux through the…

Mesoscale and Nanoscale Physics · Physics 2015-12-08 Jianhui Zhou , Wen-Yu Shan , Wang Yao , Di Xiao

Majorana stars, the antipodal directions associated with the coherent states that are orthogonal to a spin state, provide a visualization and a geometric understanding of the structures of general quantum states. For example, the Berry…

Quantum Physics · Physics 2021-08-11 Chon-Fai Kam , Ren-Bao Liu

Berry phase is revealed for circularly polarized light when it is Bragg-reflected by a chiral liquid crystal medium of the same handedness. By using a chiral nematic layer we demonstrate that if the input plane of the layer is rotated with…

Geometrical properties of energy bands underlie fascinating phenomena in a wide-range of systems, including solid-state materials, ultracold gases and photonics. Most famously, local geometrical characteristics like the Berry curvature can…

Optics · Physics 2017-12-20 Martin Wimmer , Hannah M. Price , Iacopo Carusotto , Ulf Peschel

The rigid rotor is a classic problem in quantum mechanics, describing the dynamics of a rigid body with its centre of mass held fixed. The configuration space of this problem is $SO(3)$, the space of all rotations in three dimensions. This…

Strongly Correlated Electrons · Physics 2022-05-05 Subhankar Khatua , R. Ganesh

Geometric phases in quantum mechanics play an extraordinary role in broadening our understanding of fundamental significance of geometry in nature. One of the best known examples is the Berry phase (M.V. Berry (1984), Proc. Royal. Soc.…

Statistical Mechanics · Physics 2012-05-11 V. Gritsev , A. Polkovnikov

We show that topological transitions in electronic spin transport are feasible by a controlled manipulation of spin-guiding fields. The transitions are determined by the topology of the fields texture through an effective Berry phase…

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

Topological protection of edge state in quantum spin Hall systems relies only on time-reversal symmetry. Hence, S z conservation on the edge can be relaxed which can have an interferometric manifestation in terms of spin Berry phase.…

Mesoscale and Nanoscale Physics · Physics 2020-07-22 Vivekananda Adak , Krishanu Roychowdhury , Sourin Das