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We develop a theory of Berry phase effect in anomalous transport in ferromagnets driven by statistical forces such as the gradient of temperature or chemical potential. Here a charge Hall current arises from the Berry phase correction to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Di Xiao , Yugui Yao , Zhong Fang , Qian Niu

As reflection symmetry or space-time inversion symmetry is preserved, with a non-contractible integral loop respecting the symmetry in the Brilliouin zone, Berry phase is quantized in proper basis. Topological nodal lines can be enclosed in…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 C. -K. Chiu , Y. -H. Chan , A. P. Schnyder

In quantum mechanics it is often required to describe in a semiclassical approximation the motion of particles moving within a given energy band. Such a representation leads to the appearance of an analogues of fictitious forces in the…

Statistical Mechanics · Physics 2017-10-11 Eldad Bettelheim

The feedback of the geometrical Berry phase, accumulated in an electron system, on the slow dynamics of classical degrees of freedom is governed by the Berry curvature. Here, we study local magnetic moments, modelled as classical spins,…

Mesoscale and Nanoscale Physics · Physics 2022-12-29 Simon Michel , Michael Potthoff

Quantum mechanical phases arising from a periodically varying Hamiltonian are considered. These phases are derived from the eigenvalues of a stationary, ``dressed'' Hamiltonian that is able to treat internal atomic or molecular structure in…

Atomic and Molecular Clusters · Physics 2015-05-14 Edmund R. Meyer , Aaron Leanhardt , Eric Cornell , John L. Bohn

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

We report observation of spin-orbit Berry's phase in the Aharonov-Bohm (AB) type oscillation of weak field magnetoresistance in an anti-dot lattice (ADL) of a two-dimensional hole system. An AB-type oscillation is superposed on the…

Mesoscale and Nanoscale Physics · Physics 2011-06-14 Ning Kang , Eisuke Abe , Yoshiaki Hashimoto , Yasuhiro Iye , Shingo Katsumoto

A geometric phase is found to arise from the cyclic adiabatic variation of the crossed magnetic and electric fields which sustain the Brillouin rotation of a plasma column. The expression of the gauge field associated with this geometric…

Plasma Physics · Physics 2020-01-29 Jean-Marcel Rax , Renaud Gueroult

We show exact solutions of Born-Infeld theory for electromagnetic plane waves propagating in the presence of static background fields. The non-linear character of Born-Infeld equations generates an interaction between background and wave…

High Energy Physics - Theory · Physics 2011-07-19 Matias Aiello , Gabriel Bengochea , Rafael Ferraro

We investigate electromagnetic propagation in uniaxial dielectrics with a transversely varying orientation of the optic axis, the latter staying orthogonal everywhere to the propagation direction. In such a geometry, the field experiences…

The theoretical identification of crystalline topological materials has enjoyed sustained success in simplified materials models, often by singling out discrete symmetry operations protecting the topological phase. When band structure…

Materials Science · Physics 2026-05-15 Emanuele Maggio

Finding new phase is a fundamental task in physics. Landau's theory explained the deep connection between symmetry breaking and phase transition commonly occurring in magnetic, superconducting and super uid systems. The discovery of the…

Mesoscale and Nanoscale Physics · Physics 2017-03-31 Xuele Liu , G. S. Agarwal

An electric field propagating along a non-planar path can acquire geometric phases. Previously, geometric phases have been linked to spin redirection and independently to spatial mode transformation, resulting in the rotation of…

Multiple light scattering is widely used to characterize dense colloidal systems as well as in deep tissue imaging; experiments are often interpreted via a theory of diffusion of the light intensity within a sample, neglecting the vector…

Soft Condensed Matter · Physics 2007-05-23 A. C. Maggs , V. Rossetto

Systems such as Wigner crystals and incommensurate charge density waves that spontaneously break a continuous translation symmetry have unusual transport properties arising from their ability to slide coherently in space. Recent…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Yongxin Zeng , Andrew J. Millis

We derive an analogue of the Berry phase associated with inflationary cosmological perturbations of quantum mechanical origin by obtaining the corresponding wavefunction. We have further shown that cosmological Berry phase can be completely…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-16 Barun Kumar Pal , Supratik Pal , B. Basu

The Berry phase is analyzed for Weyl and Dirac fermions in a phase space representation of the worldline formalism. Kinetic theories are constructed for both at a classical level. Whereas the Weyl fermion case reduces in dimension,…

High Energy Physics - Theory · Physics 2022-06-28 Patrick Copinger , Shi Pu

Effective dynamics of conduction electrons in antiferromagnetic (AFM) materials with slowly varying spin texture is developed via non-Abelian gauge theory. Quite different from the ferromagnetic (FM) case, the spin of a conduction electron…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Ran Cheng , Qian Niu

We show the presence of a topological (Berry) phase in the time evolution of a mixed state. For the case of mixed neutrinos, the Berry phase is a function of the mixing angle only.

High Energy Physics - Theory · Physics 2009-10-31 Massimo Blasone , Peter A. Henning , Giuseppe Vitiello

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