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The surface states of 3D topological insulators possess geometric structures that imprint distinctive signatures on electronic transport. A prime example is the Berry curvature, which controls, for instance, electric frequency doubling via…

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

The feedback of the geometrical Berry phase, accumulated in an electron system, on the slow dynamics of classical degrees of freedom is governed by the Berry curvature. Here, we study local magnetic moments, modelled as classical spins,…

Mesoscale and Nanoscale Physics · Physics 2022-12-29 Simon Michel , Michael Potthoff

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 memory effects in open quantum systems can induce information backflow and revive quantum correlations, thereby providing a powerful way to protect and recover useful quantum resources in realistic noisy environments. However, such…

Berry curvature is a fundamental element to characterize topological quantum physics, while a full measurement of Berry curvature in momentum space was not reported for topological states. Here we achieve two-dimensional Berry curvature…

Topologically ordered phase has emerged as one of most exciting concepts that not only broadens our understanding of phases of matter, but also has been found to have potential application in fault-tolerant quantum computation. The direct…

Quantum Physics · Physics 2016-06-01 Zhihuang Luo , Chao Lei , Jun Li , Xinfang Nie , Zhaokai Li , Xinhua Peng , Jiangfeng Du

Over the years, Berry curvature, which is associated with the imaginary part of the quantum geometric tensor, has profoundly impacted many branches of physics. Recently, quantum metric, the real part of the quantum geometric tensor, has…

Mesoscale and Nanoscale Physics · Physics 2025-11-25 Xiao-Bin Qiang , Tianyu Liu , Zi-Xuan Gao , Hai-Zhou Lu , X. C. Xie

We consider the impact of Berry phase on the Wigner crystal (WC) state of a two-dimensional electron system. We consider first a model of Bernal bilayer graphene with a perpendicular displacement field, and we show that Berry curvature…

Strongly Correlated Electrons · Physics 2025-12-23 Sandeep Joy , Leonid Levitov , Brian Skinner

The quantum geometric properties of topological materials underpin many exotic physical phenomena and applications. Quantum nonlinearity has emerged as a powerful probe for revealing these properties. The Berry curvature dipole in…

Mesoscale and Nanoscale Physics · Physics 2025-01-23 Xing-Yu Liu , An-Qi Wang , Dong Li , Tong-Yang Zhao , Xin Liao , Zhi-Min Liao

Recent experiments on multilayer graphene systems have rekindled interest in electronic crystal phases in two dimensions -- but now for phases enriched by non-trivial quantum geometry. In this work, we introduce a simple continuum model…

Strongly Correlated Electrons · Physics 2026-01-27 Félix Desrochers , Joe Huxford , Mark R. Hirsbrunner , Yong Baek Kim

In this letter, we propose a mechanism to control the magnetic properties of topological quantum material (TQM) by using magnetoelectric coupling: this mechanism uses a heterostructure of TQM with two-dimensional (2D) ferroelectric…

Materials Science · Physics 2023-05-05 Wei Luo , Mao-Hua Du , Fernando A. Reboredo , Mina Yoon

Understanding the transport behavior of an electronic system under the influence of a magnetic field remains a key subject in condensed matter physics. Particularly in topological materials, their nonvanishing Berry curvature can lead to…

Mesoscale and Nanoscale Physics · Physics 2023-03-24 Jeonghyeon Suh , Sanghyun Park , Hongki Min

In non-relativistic physics, the concepts of geometry and topology are usually applied to characterize spatial structures or structures in momentum space. We introduce the concept of temporal geometry, which encompasses the geometric and…

Quantum Physics · Physics 2025-06-03 Andres F. Ordonez , Aycke Roos , Pablo M. Maier , Piero Decleva , David Ayuso , Olga Smirnova

It has recently been realized that the first-order moment of the Berry curvature, namely the Berry curvature dipole (BCD) can give rise to non-linear current in a wide variety of time-reversal invariant and non-centrosymmetric materials.…

Mesoscale and Nanoscale Physics · Physics 2021-05-31 Sai Satyam Samal , S. Nandy , Kush Saha

Berry phase in semiconductor quantum dots (QDs) can be induced by moving the dots adiabatically in a closed loop with the application of the distortion potential in the lateral direction. We show that the Berry phase is highly sensitive to…

Mesoscale and Nanoscale Physics · Physics 2014-07-15 Sanjay Prabhakar , Roderick Melnik , Luis L Bonilla

With exciton lifetime much extended in semiconductor quantum-well structures, their transport and Bose-Einstein condensation become a focus of research in recent years. We reveal a momentum-space gauge field in the exciton center-of-mass…

Mesoscale and Nanoscale Physics · Physics 2008-09-03 Wang Yao , Qian Niu

Two-dimensional ferroelectric monolayers are promising candidates for compact memory devices and flexible electronics. Here, through first-principles calculations, we predict room temperature ferroelectricity in AB-type monolayers…

Janus transition metal dichalcogenides, with intrinsic mirror asymmetry, exhibit a wide array of interesting properties. In this work, we study Janus monolayers derived from WTe$_2$ using first-principles and tight-binding calculations. We…

Mesoscale and Nanoscale Physics · Physics 2023-08-22 Nesta Benno Joseph , Saswata Roy , Awadhesh Narayan

Combining first-principles calculations and tight-binding Hamiltonians, we study the stack-dependent behaviour of electronic and topological properties of layered antiferromagnet MnBi$_2$Te$_4$. Lateral shift of top septuple-layer greatly…

Materials Science · Physics 2025-03-05 Jiaheng Li , Quansheng Wu , Hongming Weng