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We provide a topological understanding on phonon Hall effect in dielectrics with Raman spinphonon coupling. A general expression for phonon Hall conductivity is obtained in terms of the Berry curvature of band structures. We find a…

Materials Science · Physics 2011-01-28 Lifa Zhang , Jie Ren , Jian-Sheng Wang , Baowen Li

The interplay between different degrees of freedom in condensed matter systems engenders a rich variety of emergent phenomena. In particular, fermions with non-trivial quantum geometry can generate Chern-Simons (CS)-like terms in effective…

Mesoscale and Nanoscale Physics · Physics 2025-08-07 Swati Chaudhary , Takashi Oka

Topological materials hosting multifold fermions and bosons have emerged as a rich platform for exploring unconventional quasiparticles and transport phenomena. In this work, we investigate the chiral crystal SiTc using first-principles…

Materials Science · Physics 2025-07-01 Shivendra Kumar Gupta , Saurabh Kumar Sen , Nagarjuna Patra , Ajit Singh Jhala , Poorva Singh

We prove that invisible bands associated with zeros of the single-particle Green's function exist ubiquitously at topological interfaces of 2D Chern insulators, dual to the chiral edge/domain-wall modes. We verify this statement in a…

Strongly Correlated Electrons · Physics 2023-09-19 Youjiang Xu , Irakli Titvinidze , Walter Hofstetter

Topological band structures in electronic systems like topological insulators and semimetals give rise to highly unusual physical properties. Analogous topological effects have also been discussed in bosonic systems, but the novel phenomena…

Mesoscale and Nanoscale Physics · Physics 2017-03-06 Hoi Chun Po , Yasaman Bahri , Ashvin Vishwanath

We investigate the phonon magnetochiral effect (PMCE) in chiral Weyl semimetals by deriving the nonreciprocal dispersion relations of both acoustic and non-polar optical phonons in the presence of a magnetic field. Using a semiclassical…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Sanghita Sengupta

Recent theoretical works have demonstrated various robust Abelian and non-Abelian fractional topological phases in lattice models with topological flat bands carrying Chern number C=1. Here we study hard-core bosons and interacting fermions…

Strongly Correlated Electrons · Physics 2012-11-07 Yi-Fei Wang , Hong Yao , Chang-De Gong , D. N. Sheng

The dispersionless longitudinal photon in Maxwell theory is thought of as a redundant degree of freedom due to the gauge symmetry. We find that when there exist exactly flat bands with zero energy in a condensed matter system, the fermion…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 Xi Luo , Yue Yu

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

Band-topology is traditionally analyzed in terms of gauge-invariant observables associated with crystalline Bloch wavefunctions. Recent work has demonstrated that many of the free fermion topological characteristics survive even in an…

Strongly Correlated Electrons · Physics 2023-01-20 Sunghoon Kim , Adhip Agarwala , Debanjan Chowdhury

The notion that phonons can carry pseudo-angular momentum has become popular in the last decade, with recent research efforts highlighting phonon chirality, Berry curvature of phonon band structure, and the phonon Hall effect. When a phonon…

The interaction of electron-hole pairs with lattice vibrations exhibits a wealth of intriguing physical phenomena. The Kohn anomaly is a renowned example where electron-phonon coupling leads to non-analytic phonon dispersion at specific…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Jun Yan , Erik A. Henriksen , Philip Kim , Aron Pinczuk

Moir\'e flat bands in rhombohedral multilayer graphene provide a platform for exploring interaction-driven topological phases, where a single isolated band often forms a Chern band. However, non-Abelian degenerate Chern bands with internal…

Mesoscale and Nanoscale Physics · Physics 2026-04-16 Taketo Uchida , Takuto Kawakami , Mikito Koshino

We study the effect of the curved ripples observed in the free standing graphene samples on the electronic structure of the system. We model the ripples as smooth curved bumps and compute the Green's function of the Dirac fermions in the…

Strongly Correlated Electrons · Physics 2009-11-13 Fernando de Juan , Alberto Cortijo , María A. H. Vozmediano

Including the previously ignored dispersion of phonons we revisit the metal-insulator transition problem in one-dimensional electron-phonon systems on the basis of a modified spinless fermion Holstein model. Using matrix-product-state…

Strongly Correlated Electrons · Physics 2024-09-18 Florian Lange , Holger Fehske

Chirality is one of the key features governing the electronic properties of single- and bilayer graphene: the basics of this concept and its consequences on transport are presented in this review. By breaking the inversion symmetry, a band…

We theoretically studied the phonon properties of the triangular-, stripe- and honeycomb-type electronic crystals recently found in two-dimensional semiconductor moir\'e patterns. By analyzing the phonon dispersions, we found the…

Mesoscale and Nanoscale Physics · Physics 2023-05-02 Hongyi Yu , Jiyong Zhou

We investigate the effect of electron-phonon interaction on the phononic properties in the one-dimensional half-filled Holstein model of spinless fermions. By means of determinantal Quantum Monte Carlo simulation we show that the behavior…

Strongly Correlated Electrons · Physics 2009-11-11 C. E. Creffield , G. Sangiovanni , M. Capone

We analyze the band topology of acoustic phonons in 2D materials by considering the interplay of spatial and internal symmetries with additional constraints that arise from the physical context. These supplemental constraints trace back to…

Mesoscale and Nanoscale Physics · Physics 2022-02-14 Gunnar F. Lange , Adrien Bouhon , Bartomeu Monserrat , Robert-Jan Slager

Bilayer graphene and its thicker cousins with Rhombohedral stacking have attracted considerable attention because of their susceptibility to a variety of broken chiral symmetry states. Due to large density-of-states and quantized Berry…

Strongly Correlated Electrons · Physics 2015-12-25 Fan Zhang
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