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We study a one-dimensional interacting topological model by means of exact diagonalization method. The topological properties are firstly examined with the existence of the edge states at half-filling. We find that the topological phases…

介观与纳米尺度物理 · 物理学 2015-05-30 Huaiming Guo , Shun-Qing Shen

Motivated by recent progress in crystalline symmetry protected topological (SPT) phases of interacting bosons, we study topological crystalline insulators/superconductors (TCIs) of strongly interacting fermions. We construct a class of…

强关联电子 · 物理学 2018-10-31 Alex Rasmussen , Yuan-Ming Lu

Symmetry-protected topological (SPT) phases are gapped short-range-entangled quantum phases with a symmetry $G$, which can all be smoothly connected to the trivial product states if we break the symmetry. It has been shown that a large…

强关联电子 · 物理学 2014-09-25 Zheng-Cheng Gu , Xiao-Gang Wen

Symmetry protected topological (SPT) phases in free fermion and interacting bosonic systems have been classified, but the physical phenomena of interacting fermionic SPT phases have not been fully explored. Here, employing large-scale…

In recent years, higher-order topological phases have attracted great interest in various fields of physics. These phases have protected boundary states at lower-dimensional boundaries than the conventional first-order topological phases…

介观与纳米尺度物理 · 物理学 2024-04-19 Yan-Bin Yang , Jiong-Hao Wang , Kai Li , Yong Xu

This work reports an extensive study of three-dimensional topological ordered phases that, in one of the directions behave like usual topological order concerning mobility of excitations, but in the perpendicular plane manifest type-II…

强关联电子 · 物理学 2024-12-12 Heitor Casasola , Guilherme Delfino , Yizhi You , Paula F. Bienzobaz , Pedro R. S. Gomes

We provide a new perspective on fracton topological phases, a class of three-dimensional topologically ordered phases with unconventional fractionalized excitations that are either completely immobile or only mobile along particular lines…

强关联电子 · 物理学 2018-01-23 Gábor B. Halász , Timothy H. Hsieh , Leon Balents

Topological phases of matter remain a focus of interest due to their unique properties -- fractionalisation, ground state degeneracy, and exotic excitations. While some of these properties can occur in systems of free fermions, their…

We investigate the phase diagram of a one-dimensional model of hardcore bosons or spinless fermions with tunable nearest-neighbor interactions. By introducing alternating repulsive and attractive interactions on consecutive bonds, we show…

量子气体 · 物理学 2025-08-18 Rajashri Parida , Diptiman Sen , Tapan Mishra

Periodically driven noninteracting systems may exhibit anomalous chiral edge modes, despite hosting bands with trivial topology. We find that these drives have surprising many-body analogs, corresponding to class A, which exhibit anomalous…

强关联电子 · 物理学 2017-03-28 Fenner Harper , Rahul Roy

We propose a simple theoretical construction of certain short-range entangled phases of interacting fermions, by putting the bound states of three fermions (which we refer to as clustons) into topological bands. We give examples in two and…

强关联电子 · 物理学 2015-07-14 Chong Wang

While tremendous research has revealed that symmetry enriches topological phases of matter, more general principles that protect topological phases have yet to be explored. In this Letter, we elucidate the roles of subspaces in…

介观与纳米尺度物理 · 物理学 2025-09-16 Kenji Shimomura , Ryo Takami , Daichi Nakamura , Masatoshi Sato

Time-periodic driving of a quantum system can enable new dynamical topological phases of matter that could not exist in thermal equilibrium. We investigate two related classes of dynamical topological phenomena in 2D systems: Floquet…

强关联电子 · 物理学 2017-04-26 Andrew C. Potter , Takahiro Morimoto

Materials with non-trivial topology in their electronic structures enforce the existence of helical Dirac fermionic surface states. We discovered emergent topological phases in the stacked structures of topological insulator and band…

材料科学 · 物理学 2012-06-15 Jeongwoo Kim , Jinwoong Kim , Ki-Seok Kim , Seung-Hoon Jhi

After briefly recalling the quantum entanglement-based view of topological phases of matter in order to outline the general context, we give an overview of different approaches to the classification problem of topological insulators and…

介观与纳米尺度物理 · 物理学 2016-01-20 Andreas W. W. Ludwig

In this work, we introduce a new type of topological order which is protected by subsystem symmetries which act on lower dimensional subsets of lattice many-body system, e.g. along lines or planes in a three dimensional system. The symmetry…

强关联电子 · 物理学 2018-07-18 Yizhi You , Trithep Devakul , F. J. Burnell , S. L. Sondhi

Recently, it has been found that there exist symmetry-protected topological phases of fermions, which have no realizations in non-interacting fermionic systems or bosonic models. We study the edge states of such an intrinsically interacting…

强关联电子 · 物理学 2020-08-05 Joseph Sullivan , Meng Cheng

We study spin systems which exhibit symmetries that act on a fractal subset of sites, with fractal structures generated by linear cellular automata. In addition to the trivial symmetric paramagnet and spontaneously symmetry broken phases,…

强关联电子 · 物理学 2019-01-16 Trithep Devakul , Yizhi You , F. J. Burnell , S. L. Sondhi

The interacting bosons in one-dimensional inversion-symmetric superlattices are investigated from the topological aspect. The complete phase diagram is obtained by an atomic-limit analysis and quantum Monte Carlo simulations and comprises…

量子气体 · 物理学 2015-06-23 Tianhe Li , Huaiming Guo , Shu Chen , Shun-Qing Shen

In recent years, there has been a surge of interest in higher-order topological phases (HOTPs) across various disciplines within the field of physics. These unique phases are characterized by their ability to harbor topological protected…

介观与纳米尺度物理 · 物理学 2025-04-22 Chunbo Hua , Dong-Hui Xu