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The Berry curvature, resembling the magnetic field in reciprocal space, offers a captivating avenue for exploring unique electromagnetic phenomena devoid of real-space analogs. Here, we investigate the emergent electromagnetic induction by…

Mesoscale and Nanoscale Physics · Physics 2023-12-01 Wei Luo , Wei Chen , D. Y. Xing

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…

Quantum Gases · Physics 2013-07-25 Marco Cominotti , Iacopo Carusotto

The Berry curvature dipole is well-known to cause Hall conductivity. This study expands on previous results to demonstrate how two- and three-dimensional materials react under a tilted magnetic field in the linear and nonlinear regimes. We…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 Narjes Kheirabadi , YuanDong Wang

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…

Mesoscale and Nanoscale Physics · Physics 2022-03-22 Shibalik Lahiri , Tanmay Bhore , Kamal Das , Amit Agarwal

When quasiparticles move in condensed matters, the texture of their internal quantum structure as a function of position and momentum can give rise to Berry phases that have profound effects on materials properties. Seminal examples include…

Mesoscale and Nanoscale Physics · Physics 2023-08-29 Hongyi Yu , Mingxing Chen , Wang Yao

Berry curvature acts analogous to a magnetic field in the momentum-space, and it modifies the flow of charge carriers and entropy. This induces several intriguing magnetoelectric and magnetothermal transport phenomena in Weyl semimetals. %,…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 Kamal Das , Amit Agarwal

We study the quantum nonlinear planar Hall effect in bilayer graphene under a steady in-plane magnetic field. When time-reversal symmetry is broken by the magnetic field, a charge current occurs in the second-order response to an external…

Mesoscale and Nanoscale Physics · Physics 2022-12-29 Narjes Kheirabadi , Abdollah Langari

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

Analytical calculations and micromagnetic simulations are used to determine the Berry curvature and topological Hall effect (THE) due to conduction electrons in small ferromagnetic particles. Our focus is on small particles of…

In recent years, it has been shown that Berry curvature monopoles and dipoles play essential roles in the anomalous Hall effect and the nonlinear Hall effect respectively. In this work, we demonstrate that Berry curvature multipoles (the…

Mesoscale and Nanoscale Physics · Physics 2023-12-15 Cheng-Ping Zhang , Xue-Jian Gao , Ying-Ming Xie , Hoi Chun Po , K. T. Law

The Berry curvature is a geometrical property of an energy band which acts as a momentum space magnetic field in the effective Hamiltonian describing single-particle quantum dynamics. We show how this perspective may be exploited to study…

Quantum Gases · Physics 2014-11-20 Hannah M. Price , Tomoki Ozawa , Iacopo Carusotto

We study theoretically the magnetic field effect on a neutral, but polarizable exciton confined in quantum-ring structures. For excitons with a nonzero dipole moment, a novel magnetic interference effect occurs: The ground state of an…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 A. O. Govorov , A. V. Kalameitsev , R. Warburton , K. Karrai , S. E. Ulloa

In this paper we investigate the form of induced gauge fields that arises in two types of quantum systems. In the first we consider quantum mechanics on coset spaces G/H, and argue that G-invariance is central to the emergence of the…

High Energy Physics - Theory · Physics 2009-10-28 Peter Levay , David McMullan , Izumi Tsutsui

Quantum materials are characterized by electromagnetic responses intrinsically linked to the geometry and topology of electronic wavefunctions, encoded in the quantum metric and Berry curvature. Whereas Berry curvature-mediated transport…

Mesoscale and Nanoscale Physics · Physics 2025-08-26 Giacomo Sala , Maria Teresa Mercaldo , Klevis Domi , Stefano Gariglio , Mario Cuoco , Carmine Ortix , Andrea D. Caviglia

In this note we consider non-relativistic rotating fermi liquid in the presence of Berry curvature. The behavior of the system is then almost the same as in external magnetic field. We argue that there appears an analogue of chiral vortical…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 V. P. Kirilin , Z. V. Khaidukov , A. V. Sadofyev

In quantum chromodynamics, a gauge field configuration with nonzero topological charge generates a difference between the number of left- and right-handed quarks. When a (electromagnetic) magnetic field is added to this configuration, an…

High Energy Physics - Phenomenology · Physics 2014-11-20 Kenji Fukushima , Dmitri E. Kharzeev , Harmen J. Warringa

Magnetotransport such as the giant magnetoresistance and Hall effect lies at the heart of fundamental physics and technologies. Recently, some experiments have clearly demonstrated linear magnetotransport (LMT) proportional to magnetic…

Mesoscale and Nanoscale Physics · Physics 2022-07-28 Zetao Zhang , Yizhou Liu , Wenhui Duan

The interplay between topology and electronic correlation effects offers a rich avenue for discovering emergent quantum phenomena in condensed matter systems. In this work, starting from the Weyl-Hubbard model, we investigate the quantum…

Strongly Correlated Electrons · Physics 2024-02-16 Snehasish Nandy , Christopher Lane , Jian-Xin Zhu

We investigate the second-order anomalous Hall response in two-dimensional higher-wave symmetric magnets, including the recently discovered class of collinear magnets known as altermagnets, when subjected to a symmetry-breaking external…

Mesoscale and Nanoscale Physics · Physics 2025-11-17 Srimayi Korrapati , Snehasish Nandy , Sumanta Tewari

Geometric phases are well known in classical electromagnetism and quantum mechanics since the early works of Pantcharatnam and Berry. Their origin relies on the geometric nature of state spaces and has been studied in many different systems…

Quantum Physics · Physics 2009-11-07 A. Carollo , M. Franca Santos , V. Vedral
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