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Due to the Berry curvature in momentum space, the magnon wavepacket undergoes two types of orbital motions in analogy with the electron system: the self-rotation motion and a motion along the boundary of the sample (edge current). The…

Mesoscale and Nanoscale Physics · Physics 2012-11-12 Ryo Matsumoto , Shuichi Murakami

Gravitons possess a Berry curvature due to their helicity. We derive the semiclassical equations of motion for gravitons taking into account the Berry curvature. We show that this quantum correction leads to the splitting of the…

High Energy Physics - Theory · Physics 2018-09-26 Naoki Yamamoto

We theoretically study the Berry curvature of the magnon induced by the hybridization with the acoustic phonons via the spin-orbit and dipolar interactions. We first discuss the magnon-phonon hybridization via the dipolar interaction, and…

Mesoscale and Nanoscale Physics · Physics 2016-11-29 Ryuji Takahashi , Naoto Nagaosa

We examine the motion of a relativistic charged particle in a constant magnetic field perturbed by gravitational waves incident along the direction of the magnetic field. We apply a generalized energy conservation law to compute the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. W. van Holten

We theoretically investigate the transport of magnon orbitals in a honeycomb antiferromagnet. We find that the magnon orbital Berry curvature is finite even without spin-orbit coupling and thus the resultant magnon orbital Hall effect is an…

Mesoscale and Nanoscale Physics · Physics 2023-03-22 Gyungchoon Go , Daehyeon An , Hyun-Woo Lee , Se Kwon Kim

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

Based on quantum field theory of linearized gravity, we formulate the Wigner function for right- and left-handed gravitons. By applying the Wigner transformation to the second-order metric perturbations in the graviton energy-momentum…

High Energy Physics - Theory · Physics 2026-05-20 Ritsuki Ito , Kazuya Mameda , Naoki Yamamoto

A new type of linear response Hall effect is predicted in time-reversal-invariant systems with built-in electric field at zero magnetic field. The Hall response results from a quantum Magnus effect where a self-rotating Bloch electron…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Michał Papaj , Liang Fu

The Hall effect usually occurs when the Lorentz force acts on a charge current in a conductor in the presence of perpendicular magnetic field. On the other hand, neutral quasi-particles such as phonons and spins can carry heat current and…

Materials Science · Physics 2010-08-12 Y. Onose , T. Ideue , H. Katsura , Y. Shiomi , N. Nagaosa , Y. Tokura

We investigate the propagation of electron vortex beams in a magnetic field. It is pointed out that when electron vortex beams carrying orbital angular momentum propagate in a magnetic field, the Berry curvature associated with the scalar…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Debashree Chowdhury , Banasri Basu , Pratul Bandyopadhyay

We consider the adiabatic evolution of the Dirac equation in order to compute its Berry curvature in momentum space. It is found that the position operator acquires an anomalous contribution due to the non Abelian Berry gauge connection…

High Energy Physics - Theory · Physics 2016-08-16 Alain Bérard , Herve Mohrbach

The Nernst effect of the magnon orbital moment is theoretically investigated in a honeycomb ferromagnet, whose Hamiltonian contains the Heisenberg exchange, the Dzyaloshinskii-Moriya, the Kitaev, and the Zeeman interactions. More…

Mesoscale and Nanoscale Physics · Physics 2025-04-29 Daehyeon An , Se Kwon Kim

Transverse current due to Berry curvature in phase space is formulated based on the Boltzmann equations with the semiclassical equations of motion for an electron wave packet. It is shown that the Hall effect due to the phase space Berry…

Mesoscale and Nanoscale Physics · Physics 2021-08-31 Takehito Yokoyama

Zitterbewegung (ZB, the trembling motion) of free relativistic electrons in a vacuum in the presence of an external magnetic field is calculated. It is shown that the motion of an electron wave packet has intraband frequency components,…

Quantum Physics · Physics 2011-01-04 Tomasz. M. Rusin , Wlodek Zawadzki

We describe the charge transport in ferromagnets with spin orbit coupled Bloch bands by combining the wave-packet evolution equations with the classical Boltzmann equation. This approach can be justified in the limit of smooth disorder…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 N. A. Sinitsyn , Qian Niu , Jairo Sinova , K. Nomura

The Barut--Zanghi (BZ) theory can be regarded as the most satisfactory picture of a classical spinning electron and constitutes a natural "classical limit" of the Dirac equation. The BZ model has been analytically studied in some previous…

High Energy Physics - Theory · Physics 2009-10-31 Giovanni Salesi , Erasmo Recami

We consider semiclassical higher-order wave packet solutions of the Schrodinger equation with phase vortices. The vortex line is aligned with the propagation direction, and the wave packet carries a well-defined orbital angular momentum…

Quantum Physics · Physics 2008-11-26 K. Yu. Bliokh , Yu. P. Bliokh , S. Savel'ev , F. Nori

It is shown that the point charge and magnetic moment of electron produce together such a field that total electromagnetic momentum has a component perpendicular to electron velocity. As a result classical electron models, having magnetic…

Quantum Physics · Physics 2007-05-23 V. N. Melekhin

It has been shown earlier that matter waves which are known to lie typically in the range of a few Angstrom, can also manifest in the macrodomain with a wave length of a few centimeters, for electrons propagating along a magnetic field.…

Quantum Physics · Physics 2015-06-26 Ram K. Varma

It is well known that a spinning body moving in a fluid suffers a force orthogonal to its velocity and rotation axis --- it is called the Magnus effect. Recent simulations of spinning black holes and (indirect) theoretical predictions,…

General Relativity and Quantum Cosmology · Physics 2018-07-27 L. Filipe O. Costa , Rita Franco , Vitor Cardoso
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