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It is well-known that a non-vanishing Hall conductivity requires time-reversal symmetry breaking. However, in this work, we demonstrate that a Hall-like transverse current can occur in second-order response to an external electric field in…

Mesoscale and Nanoscale Physics · Physics 2015-12-22 Inti Sodemann , Liang Fu

Berry curvature is ubiquitous in condensed matter physics and materials science. Its main consequence is the intrinsic anomalous Hall effect (AHE) in magnetic materials and plays a pivotal role in spintronic applications and quantum…

Materials Science · Physics 2026-05-07 Satoshi Okamoto , Adriana Moreo , Naoto Nagaosa , Stuart S. P. Parkin

Recent advances in tuning electronic, magnetic, and topological properties of two-dimensional (2D) magnets have opened a new frontier in the study of quantum physics and promised exciting possibilities for future quantum technologies. In…

Materials Science · Physics 2020-05-13 Shiqiao Du , Peizhe Tang , Jiaheng Li , Zuzhang Lin , Yong Xu , Wenhui Duan , Angel Rubio

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

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…

Quantum Physics · Physics 2025-03-19 Jan Behrends , Roni Ilan , Moshe Goldstein

Wigner crystals are a paradigmatic form of interaction driven electronic order. A key open question is how Berry curvature and, more generally, quantum geometry reshape crystallization. The discovery of two-dimensional materials with…

Quantum geometry encoded in the momentum space structure of electronic wavefunctions, governs charge dynamics through Berry curvature, enabling unconventional transport and optical responses. In topological semimetals, this geometry is…

Mesoscale and Nanoscale Physics · Physics 2026-05-01 Sobhan Subhra Mishra , Thomas CaiWei Tan , Faxian Xiu , Ranjan Singh

The discovery of topological quantum materials represents a striking innovation in modern condensed matter physics with remarkable fundamental and technological implications. Their classification has been recently extended to topological…

The study of quantum geometry effects in materials has been one of the most important research directions in recent decades. The quantum geometry of a material is characterized by the quantum geometry tensor of the Bloch states. The…

Materials Science · Physics 2024-09-17 Hui Li , Chengping Zhang , Chengjie Zhou , Chen Ma , Xiao Lei , Zijing Jin , Hongtao He , Baikui Li , Kam Tuen Law , Jiannong Wang

The classic magnetic induction effect is usually considered in electric circuits or conductor coils. In this work, we propose quantum induction effects induced by the Berry curvature in homogenous solids. Two different types of quantum…

Materials Science · Physics 2021-11-04 Yizhou Liu , Hengxin Tan , Binghai Yan

Here we visualize the trapping of topological surface states in the circular n-p junctions on the top surface of the 7-quintuple-layer three dimensional (3D) topological insulator (TI) Sb2Te3 epitaxial films. As shown by spatially- and…

Mesoscale and Nanoscale Physics · Physics 2022-04-06 Jun Zhang , Ye-ping Jiang , Xu-Cun Ma , Qi-Kun Xue

We study two-dimensional electron systems in the hydrodynamic regime. We show that a geometrical Berry curvature modifies the effective Navier-Stokes equation for viscous electron flow in topological materials. For small electric fields,…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 Eddwi H. Hasdeo , Johan Ekström , Edvin G. Idrisov , Thomas L. Schmidt

By quantizing the semiclassical motion of excitons, we show that the Berry curvature can cause an energy splitting between exciton states with opposite angular momentum. This splitting is determined by the Berry curvature flux through the…

Mesoscale and Nanoscale Physics · Physics 2015-12-08 Jianhui Zhou , Wen-Yu Shan , Wang Yao , Di Xiao

The electrical Hall effect is the production of a transverse voltage under an out-of-plane magnetic field. Historically, studies of the Hall effect have led to major breakthroughs including the discoveries of Berry curvature and the…

We investigate the quantum geometric tensor, which is comprised of the Berry curvature and quantum metric, in a generalized Dirac two-band system with non-integer dispersion $E(\mathbf{k})\sim k^{\alpha}$. Our analysis reveals that this…

Superconductivity · Physics 2025-06-03 Jamme Omar A. Biscocho , Kristian Hauser A. Villegas

The spin-dependent Berry force is a genuine effect of Berry curvature in molecular dynamics, which can dramatically result in spatial spin separation and change of reaction pathways. However, the way to probe the effect of Berry force…

Atomic Physics · Physics 2023-07-14 Ming Zhang , Xiaoyu Mi , Linfeng Zhang , Chengyin Wu , Zheng Li

We calculate the spectrum of interlayer neutral excitons in transition-metal-dichalcogenide WeSe$_2$/MoSe$_2$ heterobilayers in the $R$-stacking configuration. Most saliently, we show that, similarly to neutral excitons and trions in…

Mesoscale and Nanoscale Physics · Physics 2024-08-09 Houssem Eddine Hannachi , Mark-Oliver Goerbig , Sihem Jaziri

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…

Mesoscale and Nanoscale Physics · Physics 2021-11-03 Ojasvi Pal , Bashab Dey , Tarun Kanti Ghosh

In recent years, layered kagome magnets have emerged as promising platforms for Berry-curvature engineering and unconventional transport phenomena. Here, we present the single-crystal growth, magnetization, and electrical transport…

Materials Science · Physics 2026-04-24 Shobha Singh , Shivam Rathod , Rong chen , Lipika , Sneh , Rie Y. Umetsu , Yan Sun , Kaustuv Manna

Oxide materials exhibit several novel structural, magnetic, and electronic properties. Their stability under ambient conditions, easy synthesis, and high transition temperatures provide such systems with an ideal ground for realizing…

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