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This paper demonstrates the existence of topological models with gapped edge states but protected extended bulk states against disorder. Such systems will be labeled as trivial by the current classification of topological insulators. Our…

无序系统与神经网络 · 物理学 2010-11-25 Hadassah Shulman , Emil Prodan

Step edges of topological crystalline insulators can be viewed as predecessors of higher-order topology, as they embody one-dimensional edge channels embedded in an effective three-dimensional electronic vacuum emanating from the…

While the recent advances in topology have led to a classification scheme for electronic bands described by the standard theory of metals, a similar scheme has not emerged for strongly correlated systems such as Mott insulators in which a…

强关联电子 · 物理学 2023-04-18 Peizhi Mai , Benjamin E. Feldman , Philip W. Phillips

Recent experimental discovery of fractional Chern insulator in moir\'e Chern band in twisted transition metal dichalocogenide homobilayers has sparked intensive interest in exploring the ways of engineering band topology and correlated…

强关联电子 · 物理学 2024-05-22 Xiaoyang Shen , Chonghao Wang , Ruiping Guo , Zhiming Xu , Wenhui Duan , Yong Xu

By means of exact diagonalizations, the Bernevig-Hughes-Zhang model at quarter-filling in the limit of strong Hubbard on-site repulsion is investigated. We find that the non-interacting metallic state will be turned into a Chern insulator…

强关联电子 · 物理学 2025-04-09 Yu-Chin Tzeng , Po-Yao Chang , Min-Fong Yang

We report on the epitaxial fabrication and electronic properties of a topological phase in strained \alpha-Sn on InSb. The topological surface state forms in the presence of an unusual band order not based on direct spin-orbit coupling, as…

In recent experiments with ultracold atoms, both two-dimensional (2d) Chern insulators and one-dimensional (1d) topological charge pumps have been realized. Without interactions, both systems can be described by the same Hamiltonian, when…

强关联电子 · 物理学 2020-11-02 Leo Stenzel , Andrew L. C. Hayward , Ulrich Schollwöck , Fabian Heidrich-Meisner

In this paper based on the Haldane model, we study the topological insulator with superlattice of pi-fluxes. We find that there exist the mid-gap states induced by the flux-superlattice. In particular, the mid-gap states have nontrivial…

强关联电子 · 物理学 2015-06-18 Ya-Jie Wu , Jing He , Su-Peng Kou

The field of topological photonics was initiated with the realization of a Chern insulator phase in a gyromagnetic photonic crystal (PhC) with broken time-reversal symmetry (T), hosting chiral edge states that are topologically protected…

We study one-dimensional, interacting, gapped fermionic systems described by variants of the Peierls-Hubbard model and characterize their phases via a topological invariant constructed out of their Green's functions. We demonstrate that the…

强关联电子 · 物理学 2012-11-19 Salvatore R. Manmana , Andrew M. Essin , Reinhard M. Noack , Victor Gurarie

The discovery that the band structure of electronic insulators may be topologically non-trivial has unveiled distinct phases of electronic matter with novel properties. Recently, mechanical lattices have been found to have similarly rich…

介观与纳米尺度物理 · 物理学 2018-10-10 Noah P. Mitchell , Lisa M. Nash , Daniel Hexner , Ari Turner , William T. M. Irvine

Topological states of matter, as quantum Hall systems or topological insulators, cannot be distinguished from ordinary matter by local measurements in the bulk of the material. Instead, global measurements are required, revealing…

Topological phases of quantum matter defy characterization by conventional order parameters but can exhibit quantized electro-magnetic response and/or protected surface states. We examine such phenomena in a model for three-dimensional…

强关联电子 · 物理学 2012-10-03 Ara Go , William Witczak-Krempa , Gun Sang Jeon , Kwon Park , Yong Baek Kim

We report the appearance of nontrivial topological phases in a tight-binding model on the stuffed honeycomb lattice. The model contains nearest neighbor and next nearest neighbor hopping terms coupled with an additional phase depending on…

强关联电子 · 物理学 2020-01-06 Arghya Sil , Asim Kumar Ghosh

In this paper, we investigate signatures of topological phase transitions in interacting systems. We show that the key signature is the existence of a topologically protected level crossing, which is robust and sharply defines the…

强关联电子 · 物理学 2011-12-08 Christopher N. Varney , Kai Sun , Marcos Rigol , Victor Galitski

An interesting route to the realization of topological Chern bands in ultracold atomic gases is through the use of optical flux lattices. These models differ from the tight-binding real-space lattice models of Chern insulators that are…

量子气体 · 物理学 2015-04-24 A. Sterdyniak , B. Andrei Bernevig , Nigel R. Cooper , N. Regnault

We study the interplay between topological and conventional long range order of attractive fermions in a time reversal symmetric Hofstadter lattice using quantum Monte Carlo simulations, focussing on the case of one-third flux quantum per…

强关联电子 · 物理学 2014-11-11 Lei Wang , Hsiang-Hsuan Hung , Matthias Troyer

The topological superconducting state is a highly sought-after quantum state hosting topological order and Majorana excitations. In this work, we explore the mechanism to realize the topological superconductivity (TSC) in the doped Mott…

强关联电子 · 物理学 2023-04-03 Yixuan Huang , Shou-Shu Gong , D. N. Sheng

We present a paradoxical finding that, in the vicinity of a topological phase transition in a quantum anomalous Hall system (Chern insulator), topology nearly always (except when the system obeys charge-conjugation symmetry) results in a…

介观与纳米尺度物理 · 物理学 2018-11-07 Denis R. Candido , Maxim Kharitonov , J. Carlos Egues , Ewelina M. Hankiewicz

Isolated flat bands with significantly quenched kinetic energy of electrons could give rise to exotic strongly correlated states from electron-electron interactions. More intriguingly, the interplay between topology and flat bands can…

介观与纳米尺度物理 · 物理学 2024-08-19 Huaiqiang Wang , Yiliang Fan , Haijun Zhang