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In two-dimensional insulators with time-reversal (TR) symmetry, a nonzero local Berry curvature of low-energy massive Dirac fermions can give rise to nontrivial spin and charge responses, even though the integral of the Berry curvature over…

Strongly Correlated Electrons · Physics 2021-09-21 Lun-Hui Hu , Jiabin Yu , Ion Garate , Chao-Xing Liu

We examine several properties of the Berry curvature for the organic conductor $\alpha$-(BEDT-TTF)$_2$I$_3$ consisting of four bands, which exhibits a zero-gap state with Dirac cones. By adding a small potential acting on two molecular…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Yoshikazu Suzumura , Akito Kobayashi

We study the background (equilibrium), linear and nonlinear spin currents in 2D Rashba spin-orbit coupled systems with Zeeman splitting and in 3D noncentrosymmetric metals using modified spin current operator by inclusion of the anomalous…

Mesoscale and Nanoscale Physics · Physics 2021-04-05 Priyadarshini Kapri , Bashab Dey , Tarun Kanti Ghosh

We reveal the gate-tunable Berry curvature dipole polarizability in Dirac semimetal Cd3As2 nanoplates through measurements of the third-order nonlinear Hall effect. Under an applied electric field, the Berry curvature exhibits an asymmetric…

Mesoscale and Nanoscale Physics · Physics 2023-12-05 Tong-Yang Zhao , An-Qi Wang , Xing-Guo Ye , Xing-Yu Liu , Xin Liao , Zhi-Min Liao

We develop a semiclassical theory of nonlinear transport and the photogalvanic effect in non-centrosymmetric media. We show that terms in semiclassical kinetic equations for electron motion which are associated with the Berry curvature and…

Mesoscale and Nanoscale Physics · Physics 2009-04-14 E. Deyo , L. E. Golub , E. L. Ivchenko , B. Spivak

We theoretically analyze the non-linear anomalous Nernst effect as the second-order response of temperature gradient by using the semiclassical framework of electron dynamics. We find that a non-linear current can be generated transverse to…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Xiao-Qin Yu , Zhen-Gang Zhu , Jhih-Shih You , Tony Low , Gang Su

Nodal-line semimetals are topological phases where the conduction and the valence bands cross each other along one-dimensional lines in the Brillouin zone, which are symmetry protected by either spatial symmetries or time-reversal symmetry.…

Mesoscale and Nanoscale Physics · Physics 2024-01-01 R. Flores-Calderón , Leonardo Medel , A. Martín-Ruiz

We consider Dirac quasi-particles, as realized with cold atoms loaded in a honeycomb lattice or in a $\pi$-flux square lattice, in the presence of a weak correlated disorder such that the disorder fluctuations do not couple the two Dirac…

Disordered Systems and Neural Networks · Physics 2014-04-30 Kean Loon Lee , Benoît Grémaud , Christian Miniatura

Unlike the conventional (linear) anomalous Nernst effect, the non-linear anomalous Nernst effect (NLANE) can survive in an inversion symmetry broken system even in the presence of time-reversal symmetry. Using semiclassical Boltzmann…

Mesoscale and Nanoscale Physics · Physics 2019-12-03 Chuanchang Zeng , Snehasish Nandy , A. Taraphder , Sumanta Tewari

Noncentrosymmetric metals are anticipated to exhibit a $dc$ photocurrent in the nonlinear optical response caused by the Berry curvature dipole in momentum space. Weyl semimetals (WSMs) are expected to be excellent candidates for observing…

Materials Science · Physics 2018-01-10 Yang Zhang , Yan Sun , Binghai Yan

We study the quantum nonlinear Hall effect in two-dimensional materials with time-reversal symmetry. When only one mirror line exists, a transverse charge current occurs in second-order response to an external electric field, as a result of…

Mesoscale and Nanoscale Physics · Physics 2018-10-03 Jhih-Shih You , Shiang Fang , Su-Yang Xu , Efthimios Kaxiras , Tony Low

Recent experiments have demonstrated interesting physics in a family of two-dimensional (2D) composition-tunable materials Nb$_{2n+1}$Si$_n$Te$_{4n+2}$. Here, we show that owing to its intrinsic low symmetry, metallic nature, tunable…

Materials Science · Physics 2023-05-24 Yiwei Zhao , Jin Cao , Zeying Zhang , Si Li , Yan Li , Fei Ma , Shengyuan A. Yang

We propose the new nondissipative transport effect - the appearance of axial current of thermal quasiparticles in the presence of background gravity with torsion. For the non-interacting model of massless Dirac fermions the response of the…

Mesoscale and Nanoscale Physics · Physics 2018-12-06 Z. V. Khaidukov , M. A. Zubkov

The topological nodal-line semimetals (NLSMs) possess a loop of Dirac nodes in the k space with linear dispersion, different from the point nodes in Dirac/Weyl semimetals. While the quantum transport associated with the topologically…

Materials Science · Physics 2021-07-13 Yusen Yang , Hui Xing , Guoxiong Tang , Chenqiang Hua , Chao Yao , Xiaoxian Yan , Yunhao Lu , Jin Hu , Zhiqiang Mao , Ying Liu

The Berry phase and curvature are studied for the Dirac nodal line semimetal of single-component molecular conductor [Pd(dddt)$_2$]. Using two-band model on the basis of a tight-binding model, it is shown that the Berry curvature,…

Mesoscale and Nanoscale Physics · Physics 2018-09-25 Yoshikazu Suzumura , Ai Yamakage

Two-dimensional Dirac semimetals have attracted much attention because of their linear energy dispersion and non-trivial Berry phase. Graphene-like 2D Dirac materials are gapless only within certain approximations, e.g., if spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2022-02-16 Amarnath Chakraborty , Guang Bian , Giovanni Vignale

Nonlinear optical response is well studied in the context of semiconductors and has gained a renaissance in studies of topological materials in the recent decade. So far it mainly deals with non-magnetic materials and it is believed to root…

Mesoscale and Nanoscale Physics · Physics 2020-07-31 Tobias Holder , Daniel Kaplan , Binghai Yan

The Nernst effect in superconductors is typically linked to fluctuating Cooper pairs above $T_c$ or vortex motion below $T_c$. We show instead that Berry curvature of Bogoliubov quasiparticles can generate an intrinsic Nernst response in a…

Superconductivity · Physics 2025-10-01 Tzu-Chi Hsieh , Cong Xiao , Yi-Ting Hsu

The quasi-static transverse conductivity of clean Fermi liquids at long wavelengths displays a remarkably universal behaviour: it is determined solely by the radius of curvature of the Fermi surface and does not depend on details such as…

Mesoscale and Nanoscale Physics · Physics 2024-09-17 Mark Morgenthaler , Inti Sodemann Villadiego

Berry curvature, a momentum space property, can manifest itself in current responses. The well-known anomalous Hall effect in time-reversal-breaking systems arises from a Berry curvature monopole. In time-reversal-invariant materials, a…

Mesoscale and Nanoscale Physics · Physics 2025-03-26 Tohid Farajollahpour , R. Ganesh , Kirill Samokhin