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Related papers: Detecting the Berry curvature in photonic graphene

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We propose a general method by which experiments on ultracold gases can be used to determine the topological properties of the energy bands of optical lattices, as represented by the map of the Berry curvature across the Brillouin zone. The…

Quantum Gases · Physics 2012-04-12 H. M. Price , N. R. Cooper

Geometrical properties of energy bands underlie fascinating phenomena in a wide-range of systems, including solid-state materials, ultracold gases and photonics. Most famously, local geometrical characteristics like the Berry curvature can…

Optics · Physics 2017-12-20 Martin Wimmer , Hannah M. Price , Iacopo Carusotto , Ulf Peschel

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

Under the Born-Oppenheimer approximation, the electronic ground state evolves adiabatically and can accumulate geometrical phases characterized by the molecular Berry curvature. In this work, we study the effect of the molecular Berry…

Mesoscale and Nanoscale Physics · Physics 2022-02-23 Daniyar Saparov , Bangguo Xiong , Yafei Ren , Qian Niu

Photovoltaic Hall effect -- the Hall effect induced by intense, circularly-polarized light in the absence of static magnetic fields -- has been proposed in Phys. Rev. B 79, 081406R (2009) for graphene where a massless Dirac dispersion is…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Takashi Oka , Hideo Aoki

We consider soft-core bosons with onsite interaction loaded in the honeycomb lattice with different site energies for the two sublattices. Using both a mean-field approach and quantum Monte-Carlo simulations, we show that the topology of…

Quantum Gases · Physics 2015-10-28 Yun Li , Pinaki Sengupta , George G. Batrouni , Christian Miniatura , Benoît Grémaud

Geometrical phases, such as the Berry phase, have proven to be powerful concepts to understand numerous physical phenomena, from the precession of the Foucault pendulum to the quantum Hall effect and the existence of topological insulators.…

Fluid Dynamics · Physics 2021-05-12 Nicolas Perez , Pierre Delplace , Antoine Venaille

Breaking lattice symmetry is crucial for generating a nonzero Berry curvature. While manipulating twisting angles between adjacent layers has successfully broken lattice symmetry through strain field and generated nonzero Berry curvature,…

Mesoscale and Nanoscale Physics · Physics 2024-12-19 Jie Pan , Huanhuan Wang , Lin Zou , Haibo Xie , Yi Ding , Yuze Zhang , Aiping Fang , Zhe Wang

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…

The Berry curvature is essential in Born$-$Oppenheimer molecular dynamics, describing the screening of the nuclei by the electrons in a magnetic field. Parts of the Berry curvature can be understood as the external magnetic field multiplied…

Chemical Physics · Physics 2022-11-15 Laurens D. M. Peters , Tanner Culpitt , Erik I. Tellgren , Trygve Helgaker

The topological characteristics of energy bands in crystalline systems are encapsulated in the Berry curvature of the bulk Bloch states. In photonic crystal slabs, far-field emission from guided resonances naturally provides a non-invasive…

Electronic band structures dictate the mechanical, optical and electrical properties of crystalline solids. Their experimental determination is therefore of crucial importance for technological applications. While the spectral distribution…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 C. Dutreix , H. González-Herrero , I. Brihuega , M. I. Katsnelson , C. Chapelier , V. T. Renard

The dynamics of a molecule in a magnetic field is significantly different form its zero-field counterpart. One important difference in the presence of a field is the Lorentz force acting on the nuclei, which can be decomposed as the sum of…

Chemical Physics · Physics 2021-07-28 Tanner Culpitt , Laurens D. M. Peters , Erik I. Tellgren , Trygve Helgaker

We construct a theory for the semiclassical dynamics of superconducting quasiparticles by following their wave-packet motion and reveal rich contents of Berry curvature effects in the phase-space spanned by position and momentum. These…

Superconductivity · Physics 2021-05-12 Zhi Wang , Liang Dong , Cong Xiao , Qian Niu

In the present paper we have directly computed the Berry curvature terms relevant for Graphene in the presence of an \textit{inhomogeneous} lattice distortion. We have employed the generalized Foldy Wouthuysen framework, developed by some…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Pierre Gosselin , Alain Bérard , Hervé Mohrbach , Subir Ghosh

The geometric structure of an energy band in a solid is fundamental for a wide range of many-body phenomena in condensed matter and is uniquely characterized by the distribution of Berry curvature over the Brillouin zone. In analogy to an…

In this work, we present a microscopic quantum theory that elucidates the nonlinear and nonperturbative optical response of biased bilayer graphene subjected to bichromatic strong laser fields. This response is analyzed using a four-band…

Mesoscale and Nanoscale Physics · Physics 2025-02-11 H. K. Avetissian , H. H. Matevosyan , G. F. Mkrtchian

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

The experimental realization of lattices with Chern bands in ultracold-atom and photonic systems has motivated the study of time-dependent phenomena, such as spatial propagation, in lattices with nontrivial topology. We study the dynamics…

Quantum Gases · Physics 2016-02-18 Sthitadhi Roy , Adolfo G. Grushin , Roderich Moessner , Masudul Haque

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…

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