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The effect of the Berry phase is included explicitly in the wavefunction describing conduction electrons in a crystal composed of periodically arrayed Jahn-Teller centers that have conically intersecting potential energy surfaces. The Berry…

Condensed Matter · Physics 2009-10-31 H. Koizumi , T. Hotta , Y. Takada

Non-Hermitian materials can not only exhibit exotic energy band structures but also an anomalous velocity induced by non-Hermitian anomalous Berry connection as predicted by the semiclassical equations of motion for Bloch electrons.…

Mesoscale and Nanoscale Physics · Physics 2021-12-23 Jiong-Hao Wang , Yu-Liang Tao , Yong Xu

The Berry curvature (BC) - a quantity encoding the geometric properties of the electronic wavefunctions in a solid - is at the heart of different Hall-like transport phenomena, including the anomalous Hall and the non-linear Hall and Nernst…

Mesoscale and Nanoscale Physics · Physics 2023-03-03 Maria Teresa Mercaldo , Canio Noce , Andrea D. Caviglia , Mario Cuoco , Carmine Ortix

The observation of a Hall effect, a finite transverse voltage induced by a longitudinal current, usually requires the breaking of time-reversal symmetry, for example through the application of an external magnetic field or the presence of…

Mesoscale and Nanoscale Physics · Physics 2024-11-15 Patrick W. Krantz , Alexander Tyner , Pallab Goswami , Venkat Chandrasekhar

The object of the present work is to study the quantum Hall effect through its symmetries and topological aspects. We consider the model of an electron moving in a two-dimensional lattice in the presence of applied in-plain electric field…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. Kunold , M. Torres

Berry curvature does not show itself in the relative phase correlation of wave-functions at different spatial points in a metal unless the fermions have closed trajectories in momentum space, for example those around isolated impurities.…

Strongly Correlated Electrons · Physics 2026-01-21 Chandra M. Varma

The linear and nonlinear Hall effects in 2D systems are considered theoretically within the isotropic k-cubed Rashba model. We show that the presence of an out-of-plane external magnetic field or net magnetization is a necessary condition…

Mesoscale and Nanoscale Physics · Physics 2024-04-12 A. Krzyzewska , A. Dyrdal

Hot spot of Berry curvature is usually found at Bloch band anti-crossings, where the Hall effect due to the Berry phase can be most pronounced. With small gaps there, the adiabatic limit for the existing formulations of Hall current can be…

Mesoscale and Nanoscale Physics · Physics 2020-04-20 Matisse Wei-Yuan Tu , Ci Li , Hongyi Yu , Wang Yao

We compute the non-Drude part of the conductivity tensor in planar Hall set-ups, for tilted Weyl and multi-Weyl semimetals, considering both the type-I and type-II phases. We do so in three distinct set-ups, taking into account the possible…

Mesoscale and Nanoscale Physics · Physics 2025-09-05 Ipsita Mandal

We study electronic transport in Weyl semimetals with spatially varying nodal tilt profiles. We find that the flow of electrons can be guided precisely by judiciously chosen tilt profiles. In a broad regime of parameters, we show that…

Mesoscale and Nanoscale Physics · Physics 2023-05-17 Andreas Haller , Suraj Hegde , Chen Xu , Christophe De Beule , Thomas L. Schmidt , Tobias Meng

Quantum geometric electronic responses are often viewed through a non-interacting lens: independent quasiparticles accumulate Berry phases as they move through a static crystal and background potential. Here we argue that the combined…

Mesoscale and Nanoscale Physics · Physics 2025-12-09 John Tan , Oles Matsyshyn , Giovanni Vignale , Justin C. W. Song

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

Chiral magnets, which break both spatial inversion and time reversal symmetries, carry a potential for quadratic optical responses. Despite the possibility of enhanced and controlled responses through the magnetic degree of freedom, the…

Strongly Correlated Electrons · Physics 2021-12-01 Shun Okumura , Takahiro Morimoto , Yasuyuki Kato , Yukitoshi Motome

We have observed the Berry phase effect associated with interband coherence in topological surface states (TSSs) using two-color high-harmonic spectroscopy. This Berry phase accumulates along the evolution path of strong field-driven…

Optics · Physics 2024-04-10 Ya Bai , Yang Jiang , Wenyang Zheng , Jiayin Chen , Shuo Wang , Candong Liu , Ruxin Li , Peng Liu

We consider the ground state of an electron gas embedded in a quantum gyrotropic cavity. We show that the light-matter interaction leads to a nontrivial topology of the many-body electron-photon wave function characterized by a nonzero…

Mesoscale and Nanoscale Physics · Physics 2021-09-01 Ilya Tokatly , Dmitry Gulevich , Ivan Iorsh

Employing a two-band model of Weyl semimetal, the existence of the chiral magnetic effect (CME) is established within the linear-response theory. The crucial role played by the limiting procedure in deriving correct transport properties is…

Mesoscale and Nanoscale Physics · Physics 2015-03-18 Ming-Che Chang , Min-Fong Yang

We describe the effective Lorentz forces on the ions of a generic insulating system in an magnetic field, in the context of Born-Oppenheimer ab-initio molecular dynamics. The force on each ion includes an important contribution of…

Materials Science · Physics 2007-05-23 D. Ceresoli , R. Marchetti , E. Tosatti

The Berry curvature is a geometrical property of an energy band which can act as a momentum space magnetic field in the effective Hamiltonian of a wide range of systems. We apply the effective Hamiltonian to a spin-1/2 particle in two…

Quantum Gases · Physics 2015-04-02 Hannah M. Price , Tomoki Ozawa , Nigel R. Cooper , Iacopo Carusotto

The current density ${\bf j}^{\rm{\bf B}}$ induced in a clean metal by a slowly-varying magnetic field ${\bf B}$ is formulated as the low-frequency limit of natural optical activity, or natural gyrotropy. Working with a multiband Pauli…

Mesoscale and Nanoscale Physics · Physics 2016-02-22 Shudan Zhong , Joel E. Moore , Ivo Souza

Quantum metric and Berry curvature are the real part and imaginary part of the quantum geometric tensor, respectively. The T-odd (T: time-reversal) nonlinear Hall effect driven by the quantum metric dipole, recently confirmed in Science…

Mesoscale and Nanoscale Physics · Physics 2024-02-08 Longjun Xiang , Bin Wang , Yadong Wei , Zhenhua Qiao , Jian Wang
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