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Nonlinear charge transport in solids has emerged as a powerful probe of the quantum geometric properties of Bloch electrons. While the Berry curvature underlies the intrinsic anomalous Hall effect, recent studies have suggested that the…

介观与纳米尺度物理 · 物理学 2026-05-05 Ping Tang

Quantum geometry, encoded in the Berry curvature and quantum metric, has unified diverse anomalous transport phenomena in solids, yet a microscopic quantum-geometric theory of entropy transport for Bloch electrons is still lacking. We…

统计力学 · 物理学 2026-02-03 Longjun Xiang , Jinxiong Jia , Jian Wang

Two-dimensional materials are a fertile ground for exploring quantum geometric phenomena, with Berry curvature and its first moment, the Berry curvature dipole, playing a central role in their electronic response. These geometric properties…

We present a systematic microscopic derivation of the semiclassical Boltzmann equation for band structures with the finite Berry curvature based on Keldysh technique of nonequilibrium systems. In the analysis, an ac electrical driving field…

介观与纳米尺度物理 · 物理学 2021-12-13 Elio J. König , Alex Levchenko

The Berry curvature characterizes one aspect of the geometry of quantum states. It materializes, among other consequences, as an anomalous velocity of wave packets. In non-Hermitian systems, wave packet dynamics is enriched by additional…

量子物理 · 物理学 2025-03-19 Jan Behrends , Roni Ilan , Moshe Goldstein

Berry curvature-related topological phenomena have been a central topic in condensed matter physics. Yet, until recently other quantum geometric quantities such as the metric and connection received only little attention due to the…

介观与纳米尺度物理 · 物理学 2025-07-08 Yiyang Jiang , Tobias Holder , Binghai Yan

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…

光学 · 物理学 2017-12-20 Martin Wimmer , Hannah M. Price , Iacopo Carusotto , Ulf Peschel

When nanometric, noncoplanar spin textures with scalar spin chirality (SSC) are coupled to itinerant electrons, they endow the quasiparticle wavefunctions with a gauge field, termed Berry curvature, in a way that bears analogy to…

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

In a semiconductor superlattice with long scattering times, damping of Bloch oscillations due to scattering is so small that nonlinearities may compensate it and Bloch oscillations persist even in the hydrodynamic regime. To demonstrate…

介观与纳米尺度物理 · 物理学 2012-05-08 L. L. Bonilla , M. Álvaro , M. Carretero

The transport of Bloch electrons under strong fields is traditionally understood through two mechanisms: intraband Bloch oscillations and interband Zener tunneling. Here, we propose an oscillation mechanism induced by the interband quantum…

介观与纳米尺度物理 · 物理学 2025-03-26 Hui Zeng , Zijian Zhou , Wenhui Duan , Huaqing Huang

Motivated by a recent proposal on the possibility of observing a monopole in the band structure, and by an increasing interest on the role of Berry phase in spintronics, we studied the adiabatic motion of a wave packet of Bloch functions,…

介观与纳米尺度物理 · 物理学 2010-04-05 Ryuichi Shindou , Ken-Ichiro Imura

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

Quantum geometry characterizes the variation of wavefunctions in momentum space through their overlaps and relative phases, providing a general framework for understanding many transport and optical properties. It is generally formulated in…

强关联电子 · 物理学 2026-05-20 Alejandro S. Miñarro , Gervasi Herranz

Topological properties lie at the heart of many fascinating phenomena in solid state systems such as quantum Hall systems or Chern insulators. The topology can be captured by the distribution of Berry curvature, which describes the geometry…

量子气体 · 物理学 2016-05-31 N. Fläschner , B. S. Rem , M. Tarnowski , D. Vogel , D. -S. Lühmann , K. Sengstock , C. Weitenberg

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

We study the dynamics of the Bogoliubov wave packet in superconductors and calculate the supercurrent carried by the wave packet. We discover an anomalous contribution to the supercurrent, related to the quantum metric of the Bloch wave…

超导电性 · 物理学 2017-08-14 Long Liang , Sebastiano Peotta , Ari Harju , Päivi Törmä

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

We present a general quantum kinetic theory of low-field magnetotransport in weakly disordered crystals that accounts fully for the interplay between electric-field induced interband coherence, Bloch-state scattering, and an external…

介观与纳米尺度物理 · 物理学 2017-12-25 Akihiko Sekine , Dimitrie Culcer , Allan H. MacDonald

Bloch oscillations (BOs), i.e. the oscillatory motion of a quantum particle in a periodic potential, are one of the most striking effects of coherent quantum transport in the matter. In the semiclassical picture, it is well known that BOs…

量子物理 · 物理学 2016-01-15 Stefano Longhi