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For a long period of time, we have been seeking how Berry curvature influnces the transport properties in materials breaking time-reversal symmetry. In time-reversal symmetric material, there will be no thermoelectric current induced by…

Mesoscale and Nanoscale Physics · Physics 2020-12-15 Hongchao Li

We present a reformulation of quantum adiabatic theory in terms of an emergent electromagnetic framework, emphasizing the physical consequences of geometric structures in parameter space. Contrary to conventional approaches, we demonstrate…

Quantum Physics · Physics 2025-08-15 Georgios Konstantinou

A spin-1/2 frustrated two-leg ladder with four-spin exchange interaction is studied by quantized Berry phases. We found that the Berry phase successfully characterizes the Haldane phase in addition to the rung-singlet phase, and the…

Strongly Correlated Electrons · Physics 2009-11-13 I. Maruyama , T. Hirano , Y. Hatsugai

Geometric analogs of Bloch oscillations studied so far have relied on Berry curvature. We show that a weakly inhomogeneous electric field adds a distinct quantum-metric term to semiclassical wavepacket dynamics, generating an oscillatory…

Mesoscale and Nanoscale Physics · Physics 2026-05-22 M. Maneesh Kumar , Md Kaif Faiyaz , Sayan Sarkar , Amit Agarwal

Perfectly flat bands with nontrivial quantum geometry have emerged as a frontier for exotic topological phenomena and superconductors. Here, we unveil a universal family of quantized Berry-dipole flat bands in chiral-symmetric (2n+1)-band…

Mesoscale and Nanoscale Physics · Physics 2026-02-05 Qingyang Mo , Shuang Zhang

It has been recently established that optoelectronic and non-linear transport experiments can give direct access to the dipole moment of the Berry curvature in non-magnetic and non-centrosymmetric materials. Thus far, non-vanishing Berry…

Mesoscale and Nanoscale Physics · Physics 2019-11-22 Raffaele Battilomo , Niccolo' Scopigno , Carmine Ortix

The recent discovery of copper-substituted lead phosphate apatite, also known as LK-99, has caught much attention owing to certain experimental evidence of room-temperature superconductivity, although this claim is currently under intensive…

Superconductivity · Physics 2025-02-10 Wei Chen

Flat-band materials have attracted substantial interest for their intriguing quantum geometric effects. Here we investigate how singular flat bands (SFBs) respond to a static, uniform electric field and whether they can support…

Mesoscale and Nanoscale Physics · Physics 2026-02-03 Xuanyu Long , Feng Liu

The exploration of the Berry phase in classical mechanics has opened new frontiers in understanding the dynamics of physical systems, analogous to quantum mechanics. Here, we show controlled accumulation of the Berry phase in a two-level…

Quantum Physics · Physics 2025-04-04 Kazi T. Mahmood , M. Arif Hasan

We demonstrate that flat bands with local Berry curvature arise naturally in chiral (ABC) multilayer graphene placed on a boron nitride (BN) substrate. The degree of flatness can be tuned by varying the number of graphene layers N. For N =…

Mesoscale and Nanoscale Physics · Physics 2013-07-24 Akshay Kumar , Rahul Nandkishore

A Berry phase of odd multiples of $\pi$ inferred from quantum oscillations (QOs) has often been treated as evidence for nontrivial reciprocal space topology. However, disentangling the Berry phase values from the Zeeman effect and the…

The topology of the electronic band structure of solids can be described by its Berry curvature distribution across the Brillouin zone. We theoretically introduce and experimentally demonstrate a general methodology based on the measurement…

In this letter, we elaborate on the identification and construction of the differential geometric elements underlying Berry's phase. Berry bundles are built generally from the physical data of the quantum system under study. We apply this…

Mathematical Physics · Physics 2007-06-11 Alejandro Cabrera

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

A distinguishing feature of Dirac fermions is the Berry phase of $\pi$ associated with their cyclotron motions. Since this Berry phase can be experimentally assessed by analyzing the Landau-level fan diagram of the Shubnikov-de Haas (SdH)…

Materials Science · Physics 2015-05-27 A. A. Taskin , Yoichi Ando

We present a two-dimensional (2D) lattice model that exhibits a nontrivial topological phase in the absence of the Berry curvature. Instead, the Berry connection provides the topological nontrivial phase in the model, whose integration over…

Mesoscale and Nanoscale Physics · Physics 2017-11-27 Feng Liu , Katsunori Wakabayashi

Topological aspects of electron wavefunction play a crucial role in determining the physical properties of materials. Berry curvature and Chern number are used to define the topological structure of electronic bands. While Berry curvature…

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

Geometric phases that characterize the topological properties of Bloch bands play a fundamental role in the modern band theory of solids. Here we report on the direct measurement of the geometric phase acquired by cold atoms moving in…

In recent years, two-dimensional Dirac materials patterned with a superlattice structure have emerged as a rich platform for exploring correlated and topological quantum matter. In this work, we propose that by subjecting Dirac electrons to…

Strongly Correlated Electrons · Physics 2023-02-21 Xue-Yang Song , Hart Goldman , Liang Fu