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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

Fermionic and bosonic localized states induced by geometric frustration in the kagome lattice provide a distinctive research platform for investigating emergent exotic quantum phenomena in strongly correlated systems. Here, we report the…

Superconductivity · Physics 2025-11-19 Jiefeng Ye , Zhigao Huang , Xianxin Wu , Jian-Min Zhang

Topological flat bands (FBs) offer an ideal platform for realizing exotic topological phases, such as fractional Chern insulators, yet their realization with both exact flatness and stable topology in local lattice models has been long…

Strongly Correlated Electrons · Physics 2026-03-23 Yan-Qi Li , Yi-Jie Wang , Pei-Han Lin , Bin Wang , Zhi-Da Song

Topological flat bands (TFBs) provide a promising platform to investigate intriguing fractionalization phenomena, such as the fractional Chern insulators (FCIs). Most of TFB models are established in two-dimensional Euclidean lattices with…

Strongly Correlated Electrons · Physics 2024-08-30 Dong-Hao Guan , Lu Qi , Yuan Zhou , Ai-Lei He , Yi-Fei Wang

Topological semimetals are characterized by their intriguing Fermi surfaces (FSs) such as Weyl and Dirac points, or nodal FS, and their associated surface states. Among them, topological crystalline semimetals, in the presence of strong…

Strongly Correlated Electrons · Physics 2018-05-09 Jacob S. Gordon , Hae-Young Kee

Understanding the phonon behavior in semiconductors from a topological physics perspective provides more opportunities to uncover extraordinary physics related to phonon transport and electron-phonon interactions. While various kinds of…

Materials Science · Physics 2024-12-30 Daosheng Tang

Band topology, or global wave-function structure that enforces novel properties in the bulk and on the surface of crystalline materials, is currently under intense investigations for both fundamental interest and its technological promises.…

Mesoscale and Nanoscale Physics · Physics 2018-12-11 Weiliang Yao , Chenyuan Li , Lichen Wang , Shangjie Xue , Yang Dan , Kazuki Iida , Kazuya Kamazawa , Kangkang Li , Chen Fang , Yuan Li

Phonons are ubiquitous quasiparticles in solid state systems describing the quantized vibrations of a crystal lattice. Phonons play a central role in a wide range of physical phenomena, from transport to symmetry-breaking orders, such as…

Materials Science · Physics 2025-12-04 Tiantian Zhang , Yizhou Liu , Hu Miao , Shuichi Murakami

It is proposed that a lattice, with constituent masses and spring constants, may be considered as a model system for topological matter. For instance, a relative variation of the inter- and intra-unit cell spring constants can be used to…

Mesoscale and Nanoscale Physics · Physics 2019-12-24 Yun Zhou , Prabhakar Bandaru , Daniel Sievenpiper

Topological flat bands (TFBs) are increasingly recognized as an important paradigm to study topological effects in the context of strong correlation physics. As a representative example, recently it has been theoretically proposed that the…

Mesoscale and Nanoscale Physics · Physics 2024-07-04 Yuhui Wang , Shupeng Xu , Liang Feng , Ritesh Agarwal

Recently published discoveries of acoustic and optical mode inversion in the phonon spectrum of certain metals became the first realistic example of non-interacting topological bosonic excitations in existing materials. However, the…

Materials Science · Physics 2018-11-21 Sobhit Singh , QuanSheng Wu , Changming Yue , Aldo H. Romero , Alexey A. Soluyanov

Topological phononic crystals (PCs) are periodic artificial structures which can support nontrivial acoustic topological bands, and their topological properties are linked to the existence of topological edge modes. Most previous studies…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Degang Zhao , Meng Xiao , C. W. Ling , C. T. Chan , Kin Hung Fung

Topological insulators and their intriguing edge states can be understood in a single-particle picture and can as such be exhaustively classified. Interactions significantly complicate this picture and can lead to entirely new insulating…

Strongly Correlated Electrons · Physics 2013-09-10 Emil J. Bergholtz , Zhao Liu

There are large isotope effects in the phonon kinks observed in photoemission spectra (ARPES) of optimally doped cuprate high temperature superconductors (HTSC), but they are quite different (Gweon et al. 2004) from those expected for a…

Superconductivity · Physics 2009-11-10 J. C. Phillips

Special arrangements of atoms with more than one atom per unit cell, including honeycomb or kagome (woven bamboo mat) lattices, can host propagating excitations with non-trivial topology as defined by their evolution along closed paths in…

We theoretically analyze the spectrum of phonons of a one-dimensional quasiperiodic lattice. We simulate the quasicrystal from the classic system of spring-bound atoms with a force constant modulated by the Aubry-Andr\'e model, so that its…

Disordered Systems and Neural Networks · Physics 2019-07-15 J. R. M. Silva , M. S. Vasconcelos , D. H. A. L. Anselmo , V. D. Mello

Frames, or lattices consisting of mass points connected by rigid bonds or central force springs, are important model constructs that have applications in such diverse fields as structural engineering, architecture, and materials science.…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 C. L. Kane , T. C. Lubensky

Flat-band (FB) materials have emerged as promising platforms for exploring exotic quantum phases. While numerous candidates have recently been identified through spectroscopic techniques such as angle-resolved photoemission spectroscopy,…

Strongly Correlated Electrons · Physics 2025-08-25 Fabian Garmroudi , Xinlin Yan , Silke Paschen , Sean M. Thomas , Eric D. Bauer , Andrej Pustogow , Priscila F. S. Rosa

We theoretically demonstrate that interacting symmetry-protected topological (SPT) phases can be realized with ultracold spinful bosonic atoms loaded on the lattices which have a flat band at the bottom of the band structure. Ground states…

Quantum Gases · Physics 2021-06-18 Hong Yang , Hayate Nakano , Hosho Katsura

Electronic flat bands in momentum space, arising from strong localization of electrons in real space, are an ideal stage to realize strong correlation phenomena. In certain lattices with built-in geometrical frustration, electronic…

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