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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…

Berry curvature that describes local geometrical properties of energy bands can elucidate many fascinating phenomena in solid-state, photonic, and phononic systems, given its connection to global topological invariants such as the Chern…

Optics · Physics 2024-02-21 Xuefan Yin , Ye Chen , Xiaoyu Zhang , Zixuan Zhang , Susumu Noda , Chao Peng

We investigate the emergence of a topological magnon phase in a two-dimensional kagome ferromagnet with Dzyaloshinskii-Moriya interaction (DMI) and scalar spin chirality. By incorporating a chiral interaction term proportional to the scalar…

Mesoscale and Nanoscale Physics · Physics 2025-10-20 Seif Alwan , Jonas Fransson

We obtain the band structure of a particle moving in a magnetic spin texture, classified by its chirality and structure factor, in the presence of spin-orbit coupling. This rich interplay leads to a variety of novel topological phases…

Quantum Gases · Physics 2015-06-17 Timothy M. McCormick , Nandini Trivedi

We theoretically study the Berry curvature of the magnon induced by the hybridization with the acoustic phonons via the spin-orbit and dipolar interactions. We first discuss the magnon-phonon hybridization via the dipolar interaction, and…

Mesoscale and Nanoscale Physics · Physics 2016-11-29 Ryuji Takahashi , Naoto Nagaosa

The properties that quantify photonic topological insulators (PTIs), Berry phase, Berry connection, and Chern number, are typically obtained by making analogies between classical Maxwell's equations and the quantum mechanical…

Quantum Physics · Physics 2017-06-08 S. Ali Hassani Gangaraj , Mário G. Silveirinha , George W. Hanson

Band geometry plays a substantial role in topological lattice models. The Berry curvature, which resembles the effect of magnetic field in reciprocal space, usually fluctuates throughout the Brillouin zone. Motivated by the analogy with…

Strongly Correlated Electrons · Physics 2022-04-11 Daniel Varjas , Ahmed Abouelkomsan , Kang Yang , Emil J. Bergholtz

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

The topological structure of the wavefunctions of particles in periodic potentials is characterized by the Berry curvature $\Omega_{kn}$ whose integral on the Brillouin zone is a topological invariant known as the Chern number. The…

Mesoscale and Nanoscale Physics · Physics 2016-11-21 Lucila Peralta Gavensky , Gonzalo Usaj , C. A. Balseiro

We show that the rotating Rayleigh-Benard convection, where a rotating fluid is heated from below, exhibits non-Hermitian topological states. Recently, Favier and Knobloch (JFM 2020) hypothesized that the robust wall modes in rapidly…

Fluid Dynamics · Physics 2026-05-26 Furu Zhang , Jin-Han Xie

We show that excitons forming between moir\'e flat Chern bands possess a substantial electric dipole moment comparable to the moir\'e lattice parameter times the elementary charge ($\sim10^2$ Debye). At a hole filling factor of one in…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Kaijie Yang , Huiyuan Zheng , Xiaodong Xu , Di Xiao , Ting Cao

We investigate chiral superconductivity emerging from parent electronic states with non-uniform Berry curvature, motivated by recent experiments in rhombohedral graphene multilayers. Using the continuum $\lambda_N$-model-a tunable platform…

Superconductivity · Physics 2026-05-22 L. David Le Nir , Asimpunya Mitra , Yong Baek Kim

We study the energy spectrum of magnons in a ferromagnet with topologically nontrivial magnetization profile. In the case of inhomogeneous magnetization corresponding to a metastable state of ferromagnet, the spin-wave equation of motion…

Materials Science · Physics 2009-11-11 V. K. Dugaev , P. Bruno , B. Canals , C. Lacroix

We generalize the concept of topological invariants for mixed states based on the ensemble geometric phase (EGP) introduced for one-dimensional lattice models to two dimensions. In contrast to the geometric phase for density matrices…

Quantum Physics · Physics 2021-09-22 Lukas Wawer , Michael Fleischhauer

We study magnon-plasmon coupling in effectively two-dimensional stacks of van der Waals layers in the context of the band structure topology. Invoking the quasiparticle approximation, we show that the magnetic dipole coupling between the…

Mesoscale and Nanoscale Physics · Physics 2026-05-12 Tomoki Hirosawa , Pieter M. Gunnink , Alexander Mook

We study the ground-state topology and quasiparticle properties in bosonic Mott insulators with two- dimensional spin-orbit couplings in cold atomic optical lattices. We show that the many-body Chern and spin-Chern number can be expressed…

Mesoscale and Nanoscale Physics · Physics 2013-12-04 Clement H. Wong , R. A. Duine

We study the topological property of the magnetoelastic excitation in non-collinear antiferromagnets. As a toy model, we consider the magnon-phonon coupling in a triangular antiferromagnet with a $120^\circ$ N\`eel order. We find that in…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Sungjoon Park , Bohm-Jung Yang

Ideal Chern insulating phases arise in two-dimensional systems with broken time-reversal symmetry. They are characterized by having nearly-flat bands, and a uniform quantum geometry -- which combines the Berry curvature and quantum metric…

Mesoscale and Nanoscale Physics · Physics 2022-04-18 Christian Northe , Giandomenico Palumbo , Jonathan Sturm , Christian Tutschku , Ewelina M. Hankiewicz

Charge carriers in magic angle graphene come in eight flavors described by a combination of their spin, valley, and sublattice polarizations. When the inversion and time reversal symmetries are broken by the substrate or by strong…

The semiclassical quantization of cyclotron orbits for two-dimensional Bloch electrons in a coupled two band model with a particle-hole symmetric spectrum is considered. As concrete examples, we study graphene (both mono and bilayer) and…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 J. N. Fuchs , F. Piechon , M. O. Goerbig , G. Montambaux
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