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We study symmetry-protected topological (SPT) phase transitions induced by stacking two gapped one-dimensional subsystems in BDI symmetry class. The topological invariant of the entire system is a sum of three topological invariants: two…

介观与纳米尺度物理 · 物理学 2023-06-09 Sang-Jun Choi , Björn Trauzettel

We classify subsystem symmetry-protected topological (SSPT) phases in $3+1$D protected by planar subsystem symmetries, which are dual to abelian fracton topological orders. We distinguish between weak SSPTs, which can be constructed by…

强关联电子 · 物理学 2020-09-01 Trithep Devakul , Wilbur Shirley , Juven Wang

We consider symmetry-protected topological (SPT) phases in 2D protected by linear subsystem symmetries, i.e. those that act along rigid lines. There is a distinction between a "strong" subsystem SPT phase, and a "weak" one, which is…

强关联电子 · 物理学 2018-12-19 Trithep Devakul , Dominic J. Williamson , Yizhi You

Symmetry-protected topological (SPT) phases are short-range entangled phases of matter with a non-local order parameter which are preserved under a local symmetry group. Here, by using unsupervised learning algorithm, namely the diffusion…

强关联电子 · 物理学 2021-11-18 En-Jui Kuo , Hossein Dehghani

Symmetry protected topological (SPT) phases are gapped short-range-entangled quantum phases with a symmetry G. They can all be smoothly connected to the same trivial product state if we break the symmetry. The Haldane phase of spin-1 chain…

强关联电子 · 物理学 2013-09-03 Xie Chen , Zheng-Cheng Gu , Zheng-Xin Liu , Xiao-Gang Wen

Symmetry protected topological (SPT) phases with unusual edge excitations can emerge in strongly interacting bosonic systems and are classified in terms of the cohomology of their symmetry groups. Here we provide a physical picture that…

强关联电子 · 物理学 2014-03-31 Xie Chen , Yuan-Ming Lu , Ashvin Vishwanath

Symmetry protected topological (SPT) states are bulk gapped states with gapless edge excitations protected by certain symmetries. The SPT phases in free fermion systems, like topological insulators, can be classified by the K-theory.…

强关联电子 · 物理学 2013-01-08 Xie Chen , Zheng-Cheng Gu , Zheng-Xin Liu , Xiao-Gang Wen

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

In an earlier work we developed a holographic theory for the phase transition between bosonic symmetry-protected topological (SPT) states. This paper is a continuation of it. Here we present the holographic theory for fermionic SPT phase…

强关联电子 · 物理学 2019-12-12 Lokman Tsui , Yen-Ta Huang , Dung-Hai Lee

We start by describing a symmetry enforced nodal line semi-metal (NLSM) in the 2D flat form of honeycomb Group - V and its non trivial thermo-electric response. We will then proceed to show that, upon buckling, the system undergoes its…

材料科学 · 物理学 2022-02-15 Santosh Kumar Radha

The construction and classification of symmetry-protected topological (SPT) phases in interacting bosonic and fermionic systems have been intensively studied in the past few years. Very recently, a complete classification and construction…

强关联电子 · 物理学 2020-03-11 Jian-Hao Zhang , Qing-Rui Wang , Shuo Yang , Yang Qi , Zheng-Cheng Gu

We propose that ultracold alkaline-earth-like atoms confined in one-dimensional optical lattice can realize a Kondo lattice model which hosts a symmetry-protected topological (SPT) phase and an associated quantum phase transition in a…

量子气体 · 物理学 2017-10-25 Masaya Nakagawa , Norio Kawakami

Symmetry Protected Topological (SPT) phases are a minimal generalization of the concept of topological insulators to interacting systems. In this paper we describe the classification and properties of such phases for three dimensional(3D)…

强关联电子 · 物理学 2015-06-01 Chong Wang , T. Senthil

We present a unified perspective on symmetry protected topological (SPT) phases in one dimension and address the open question of what characterizes their phase transitions. In the first part of this work we use symmetry as a guide to map…

强关联电子 · 物理学 2017-10-17 Ruben Verresen , Roderich Moessner , Frank Pollmann

A large class of symmetry-protected topological phases (SPT) in boson / spin systems have been recently predicted by the group cohomology theory. In this work, we consider SPT states at least with charge symmetry (U(1) or Z$_N$) or spin…

强关联电子 · 物理学 2013-12-12 Peng Ye , Juven Wang

Classification and construction of symmetry protected topological (SPT) phases in interacting boson and fermion systems have become a fascinating theoretical direction in recent years. It has been shown that the (generalized) group…

强关联电子 · 物理学 2018-04-05 Qing-Rui Wang , Zheng-Cheng Gu

Inspired by Chern-Simons effective theory description of symmetry protected topological (SPT) phases in two dimensions, we present a projective construction for many-body wavefunctions of SPT phases. Using this projective construction we…

强关联电子 · 物理学 2014-06-02 Yuan-Ming Lu , Dung-Hai Lee

Symmetry-protected topological (SPT) phases exhibit nontrivial order if symmetry is respected but are adiabatically connected to the trivial product phase if symmetry is not respected. However, unlike the symmetry-breaking phase, there is…

强关联电子 · 物理学 2016-05-04 Ching-Yu Huang , Tzu-Chieh Wei

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…

量子气体 · 物理学 2021-06-18 Hong Yang , Hayate Nakano , Hosho Katsura

We investigate the physics of one-dimensional symmetry protected topological (SPT) phases protected by symmetries whose symmetry generators exhibit spatial modulation. We focus in particular on phases protected by symmetries with linear…

强关联电子 · 物理学 2023-09-20 Jung Hoon Han , Ethan Lake , Ho Tat Lam , Ruben Verresen , Yizhi You
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