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The quasiclassical dynamics is studied for charge carriers moving on the surface of 3D topological insulator of Bi2Te3 type and subjected to static magnetic field. The effects connected to the symmetry changes of electron isoenergetic…

Mesoscale and Nanoscale Physics · Physics 2015-04-01 V. Ya. Demikhovskii , R. V. Turkevich

In this paper, we derive distributional convergence rates for the magnetization vector and the maximum pseudolikelihood estimator of the inverse temperature parameter in the tensor Curie-Weiss Potts model. Limit theorems for the…

Probability · Mathematics 2024-07-08 Sanchayan Bhowal , Somabha Mukherjee

The theoretical maximum efficiency of a solar cell is typically characterized by a detailed balance of optical absorption and emission for a semiconductor in the limit of unity radiative efficiency and an ideal step-function response for…

Applied Physics · Physics 2021-03-09 Joeson Wong , Stefan T. Omelchenko , Harry A. Atwater

We derive the field correction to the Berry curvature of Bloch electrons, which can be traced back to a positional shift due to the interband mixing induced by external electromagnetic fields. The resulting semiclassical dynamics is…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Yang Gao , Shengyuan A. Yang , Qian Niu

We construct and study a version of the Berry-Keating operator with a built-in truncation of the phase space, which we choose to be a two-dimensional torus. The operator is a Weyl quantisation of the classical Hamiltonian for an inverted…

Mathematical Physics · Physics 2017-02-16 Jens Bolte , Sebastian Egger , Stefan Keppeler

The Berry curvature of phonons is an active subject of research in condensed matter physics. Here, we present a model in which phonons acquire a Berry curvature through their coupling to electrons in crystals with time-reversal symmetry. We…

Mesoscale and Nanoscale Physics · Physics 2025-11-07 Sayandip Ghosh , Selçuk Parlak , Ion Garate

The binary compounds FeSi, RuSi, and OsSi are chiral insulators crystallizing in the space group P2_13 which is cubic. By means of ab initio calculations we find for these compounds a non-vanishing electronic Berry phase, the sign of which…

Materials Science · Physics 2015-06-17 J. Kubler , B. Yan , C. Felser

Magnetic semimetals have increasingly emerged as lucrative platforms hosting spin-based topological phenomena in real and momentum spaces. Of particular interest is the emergence of Berry curvature, whose geometric origin, accessibility…

In this work, we derive a generalized constitutive relation describing the current response to external electromagnetic fields in electrically biased quantum materials. While our semiclassical Boltzmann approach reveals the existence of…

Mesoscale and Nanoscale Physics · Physics 2024-08-07 D. J. P. de Sousa , C. O. Ascencio , Tony Low

We consider the flow of polarization current J(t)=dP/dt produced by a homogeneous electric field E(t) or by rapidly varying some other parameter in the Hamiltonian of a solid. For an initially insulating system and a collisionless time…

Materials Science · Physics 2009-11-10 Ivo Souza , Jorge Iniguez , David Vanderbilt

We propose a method for broadband long-wavelength photodetection using the nonlinear Hall effect in non-centrosymmetric quantum materials. The inherently quadratic relation between transverse current and input voltage at zero magnetic field…

Materials Science · Physics 2021-07-07 Yang Zhang , Liang Fu

Topological aspects of electron wavefunction play a crucial role in determining the physical properties of materials. Berry curvature and Chern number are used to define the topological structure of electronic bands. While Berry curvature…

Shift current---a photocurrent induced by light irradiating noncentrosymmetric materials in the absence of any bias voltage or built-in electric field---is one of the mechanisms of the so-called bulk photovoltaic effect. It has been…

Mesoscale and Nanoscale Physics · Physics 2019-03-28 U. Bajpai , B. S. Popescu , P. Plechac , B. K. Nikolic , L. E. F. Foa Torres , H. Ishizuka , N. Nagaosa

Recently, optical lattices with non-zero Berry's phases of Bloch bands have been realized. New approaches for measuring Berry's phases and topological properties of bands with experimental tools appropriate for ultracold atoms need to be…

Quantum Gases · Physics 2013-04-19 Dmitry A. Abanin , Takuya Kitagawa , Immanuel Bloch , Eugene Demler

We consider the spin 1/2 model coupled to a slowly varying magnetic field in the presence of a weak damping represented by a Lindblad-form operators. We show that Berry's geometrical phase remains unaltered by the two dissipation mechanism…

Quantum Physics · Physics 2009-11-06 K. M. Fonseca Romero , A. C. Aguiar Pinto , M. T. Thomaz

We apply a microscopic formalism for the calculation of material response properties to the problem of the generalization of a first-principles, i.e based on the energy spectrum and geometric properties of the Bloch functions, derivation of…

Mesoscale and Nanoscale Physics · Physics 2025-04-04 Alistair H. Duff , J. E. Sipe

Photovoltaic Hall effect is an interesting platform of Berry curvature engineering by external fields. Floquet engineering aims at generation of light-induced Berry curvature associated with topological phase transition in solids, which may…

Materials Science · Physics 2026-03-04 Yuta Murotani , Tomohiro Fujimoto , Ryusuke Matsunaga

We develop a theory for the nonlinear time domain response of a Weyl semimetal driven by an ultrafast optical pulse. At quadratic order in the driving field we find that the response near a band inversion transition contains a coherent…

Mesoscale and Nanoscale Physics · Physics 2020-10-07 Zachariah Addison , E. J. Mele

We study a class of translational-invariant insulators with discrete rotational symmetry. These insulators have no spin-orbit coupling, and in some cases have no time-reversal symmetry as well, i.e., the relevant symmetries are purely…

Other Condensed Matter · Physics 2016-05-11 A. Alexandradinata , B. Andrei Bernevig

We present a unified theory for wave-packet dynamics of electrons in crystals subject to perturbations varying slowly in space and time. We derive the wave-packet energy up to the first order gradient correction and obtain all kinds of…

Condensed Matter · Physics 2009-10-31 Ganesh Sundaram , Qian Niu
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