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We study the magnetic Bloch oscillations performed by a quantum particle moving in a two-dimensional lattice in the presence of a strong (synthetic) magnetic field and a uniform force. An elementary derivation of the Berry curvature effect…

量子气体 · 物理学 2013-07-25 Marco Cominotti , Iacopo Carusotto

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…

介观与纳米尺度物理 · 物理学 2015-06-18 Yang Gao , Shengyuan A. Yang , Qian Niu

Thermoelectric transport coefficients up to linear order in the applied magnetic field are microscopically studied using Kubo-Luttinger linear response theory and thermal Green's functions. We derive exact formulas for the thermoelectric…

介观与纳米尺度物理 · 物理学 2025-04-11 Viktor Könye , Masao Ogata

The band geometric properties of quantum materials play an elemental role in the linear and nonlinear transport of electrons. In this paper, we propose that the interplay of the Berry curvature, the orbital magnetic moment and the Lorentz…

介观与纳米尺度物理 · 物理学 2022-03-22 Shibalik Lahiri , Tanmay Bhore , Kamal Das , Amit Agarwal

Geometric analogs of Bloch oscillations studied so far have relied on Berry curvature. We show that a weakly inhomogeneous electric field adds a distinct quantum-metric term to semiclassical wavepacket dynamics, generating an oscillatory…

介观与纳米尺度物理 · 物理学 2026-05-22 M. Maneesh Kumar , Md Kaif Faiyaz , Sayan Sarkar , Amit Agarwal

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…

介观与纳米尺度物理 · 物理学 2024-08-07 D. J. P. de Sousa , C. O. Ascencio , Tony Low

To give a general description of the influences of electric fields or currents on magnetization dynamics, we developed a semiclassical theory for the magnetization implicitly coupled to electronic degrees of freedom. In the absence of…

介观与纳米尺度物理 · 物理学 2018-07-25 Bangguo Xiong , Hua Chen , Xiao Li , Qian Niu

In topological semimetals and insulators, negative longitudinal magnetoresistance and angle-dependent planar Hall effect have been reported arising from the Berry curvature. Using the Boltzmann transport theory, we present a closed-form…

介观与纳米尺度物理 · 物理学 2022-05-31 Seungchan Woo , Brett Min , Hongki Min

The valley-contrasting geometric features of electronic wave functions manifested in Berry curvature and orbital magnetic moment have profound consequences on magnetotransport properties in both three- and two-dimensional systems. Although…

介观与纳米尺度物理 · 物理学 2023-06-22 Azadeh Faridi , Reza Asgari

We have derived a new set of semiclassical equations for electrons in magnetic Bloch bands. The velocity and energy of magnetic Bloch electrons are found to be modified by the Berry phase and magnetization. This semiclassical approach is…

凝聚态物理 · 物理学 2009-10-28 M. C. Chang , Q. Niu

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…

介观与纳米尺度物理 · 物理学 2009-11-11 N. A. Sinitsyn , Qian Niu , Jairo Sinova , K. Nomura

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…

介观与纳米尺度物理 · 物理学 2019-06-26 Danhong Huang , Andrii Iurov , Hong-Ya Xu , Ying-Cheng Lai , Godfrey Gumbs

The anomalous velocity term in the semiclassical model of a Bloch electron deviates the trajectory from the conventional one. When the Berry curvature (alias noncommutative parameter) is a monopole in momentum space as found recently in…

介观与纳米尺度物理 · 物理学 2010-04-05 P. A. Horvathy

We study nonlinear magneto-optical responses of metals by a semiclassical Boltzmann equation approach. We derive general formulas for linear and second order nonlinear optical effects in the presence of magnetic fields that include both…

介观与纳米尺度物理 · 物理学 2016-12-20 Takahiro Morimoto , Shudan Zhong , Joseph Orenstein , Joel E. Moore

We derive the semiclassical Bloch dynamics with the second-order Berry phase correction in the presence of the slow-varying scalar potential as perturbation. Our mathematical derivation is based on a two-scale WKB asymptotic analysis. For a…

偏微分方程分析 · 数学 2020-04-15 Jianfeng Lu , Zihang Zhang , Zhennan Zhou

We study the magnetoelectric and magnetothermal transport properties of noncentrosymmetric metals using semiclassical Boltzmann transport formalism by incorporating the effects of Berry curvature and orbital magnetic moment. These effects…

介观与纳米尺度物理 · 物理学 2021-11-03 Ojasvi Pal , Bashab Dey , Tarun Kanti Ghosh

We propose a modified Boltzmann nonlinear electric-transport framework which differs from the nonlinear generalization of the linear Boltzmann formalism by a contribution that has no counterpart in linear response. This contribution follows…

介观与纳米尺度物理 · 物理学 2019-11-06 Cong Xiao , Z. Z. Du , Qian Niu

The valley-contrasting orbital magnetic moment of Bloch electrons allows the lifting of valley degeneracy by an out-of-plane magnetic field. We demonstrate that this leads to negative magnetoresistance, utilizing a gapped two-dimensional…

材料科学 · 物理学 2019-07-31 Hailong Zhou , Cong Xiao , Qian Niu

Within the wave-packet semiclassical approach, the Bloch electron energy is derived to second order in the magnetic field and classified into gauge-invariant terms with clear physical meaning, yielding a fresh understanding of the complex…

介观与纳米尺度物理 · 物理学 2015-04-08 Yang Gao , Shengyuan A. Yang , Qian Niu

The semiclassical quantization of cyclotron orbits for two-dimensional Bloch electrons in a coupled two band model with a particle-hole symmetric spectrum is considered. As concrete examples, we study graphene (both mono and bilayer) and…

介观与纳米尺度物理 · 物理学 2015-05-19 J. N. Fuchs , F. Piechon , M. O. Goerbig , G. Montambaux
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