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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

In topological materials, Berry curvature leads to intrinsic Hall responses. Focusing on time-reversal symmetric systems with broken inversion symmetry, a spontaneoous (zero magnetic field) Hall effect is expected to develop under an…

Mesoscale and Nanoscale Physics · Physics 2025-05-21 Shouvik Sur , Lei Chen , Yiming Wang , Chandan Setty , Silke Paschen , Qimiao Si

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

Phases arising from cyclic processes are fundamental in physics, bridging quantum and classical domains and providing deeper insights into the topology and dynamics of physical systems. This study investigates the accumulation of a…

Classical Physics · Physics 2026-05-13 Kazi T. Mahmood , M. Arif Hasan

We theoretically study the effect of the Berry curvature on the transport properties of Weyl semimetals in the nonadiabatic process, which results in nonlinear optical responses. In the adiabatic process, the Berry curvature, which involves…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 Hiroaki Ishizuka , Tomoya Hayata , Masahito Ueda , Naoto Nagaosa

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

The geometric phase (Berry phase) of an electronic wave function is the fundamental basis of the topological properties in solids. Modulating band structure provides a tuning knob for the Berry phase, and in the extreme case drives a…

Materials Science · Physics 2022-01-12 Apurva Gaikwad , Song Sun , Peipei Wang , Liyuan Zhang , Jennifer Cano , Xi Dai , Xu Du

Within the framework of exact quantum electrodynamics in dielectric, we study the topological Berry phase of a classically pumped $\Lambda$-type three-level atom, prepared initially in a superposition of its two pumped levels and located…

Quantum Physics · Physics 2011-09-05 M. S. Ateto

Recent experimental and theoretical studies have revealed the emergence of a linear layer Hall effect (LHE) induced by hidden Berry curvature in \textrm{MnBi}$_{2}$\textrm{Te}$_{4}$ thin films. This phenomenon underscores the layer degree…

Mesoscale and Nanoscale Physics · Physics 2025-10-29 Zhuo-Hua Chen , Hou-Jian Duan , Ming-Xun Deng , Rui-Qiang Wang

Berry phases strongly affect the properties of crystalline materials, giving rise to modifications of the semiclassical equations of motion that govern wave-packet dynamics. In non-Hermitian systems, generalizations of the Berry connection…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 Navot Silberstein , Jan Behrends , Moshe Goldstein , Roni Ilan

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…

Quantum Gases · Physics 2016-05-31 N. Fläschner , B. S. Rem , M. Tarnowski , D. Vogel , D. -S. Lühmann , K. Sengstock , C. Weitenberg

We outline an approach to endow a plain vanilla material with topological properties by creating topological bands in stacks of manifestly nontopological atomically thin materials. The approach is illustrated with a model system comprised…

Mesoscale and Nanoscale Physics · Physics 2015-09-22 Justin C. W. Song , Polnop Samutpraphoot , Leonid S. Levitov

The observation of non-linear Hall effects in time-reversal invariant systems has established the intriguing role of band topology beyond Berry curvature in determining transport phenomena. Many of these non-linear responses owe their…

Materials Science · Physics 2025-10-27 Nesta Benno Joseph , Arka Bandyopadhyay , Ajit C. Balram , Awadhesh Narayan

We report a twisted triple bilayer graphene platform consisting of three units of Bernal bilayer graphene consecutively twisted at 1.49{\deg} and 1.68{\deg}. We demonstrate the atomic reconstruction between the two competing moir\'e…

We show that interlayer charge transfer in 2D materials can be driven by an in-plane electric field, giving rise to electrical multipole generation in linear and second order of in-plane field. The linear and nonlinear effects have quantum…

Mesoscale and Nanoscale Physics · Physics 2024-09-05 Huiyuan Zheng , Dawei Zhai , Cong Xiao , Wang Yao

We develop a theory for the electrical and thermal transverse linear response functions such as the Hall, Nernst and thermal Hall effects in magnetic materials that harbor topological spin textures like skyrmions. In addition to the…

Mesoscale and Nanoscale Physics · Physics 2025-08-05 Zachariah Addison , Lauren Keyes , Mohit Randeria

Ever since its discovery, the Berry phase has permeated through all branches of physics. Over the last three decades, it was gradually realized that the Berry phase of the electronic wave function can have a profound effect on material…

Mesoscale and Nanoscale Physics · Physics 2010-12-01 Di Xiao , Ming-Che Chang , Qian Niu

The physics related to Berry curvature is now a central research topic in condensed matter physics. The Berry curvature dipole (BCD) is a significant and intriguing condensed matter phenomenon that involves inversion symmetry breaking.…

Mesoscale and Nanoscale Physics · Physics 2023-03-03 T. Nishijima , T. Watanabe , H. Sekiguchi , Y. Ando , E. Shigematsu , R. Ohshima , S. Kuroda , M. Shiraishi

We show that topological transitions in electronic spin transport are feasible by a controlled manipulation of spin-guiding fields. The transitions are determined by the topology of the fields texture through an effective Berry phase…

Recently, signatures of nonlinear Hall effects induced by Berry-curvature dipoles have been found in atomically thin 1T'/Td-WTe$_2$. In this work, we show that in strained polar transition-metal dichalcogenides(TMDs) with 2H-structures,…

Mesoscale and Nanoscale Physics · Physics 2020-02-24 Benjamin T. Zhou , Cheng-Ping Zhang , K. T. Law