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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…

Strongly Correlated Electrons · Physics 2018-01-23 Gábor B. Halász , Timothy H. Hsieh , Leon Balents

Fracton topological order hosts fractionalized point-like excitations (e.g., fractons) that have restricted mobility. In this article, we explore even more bizarre realization of fracton phases that admit spatially extended excitations with…

Strongly Correlated Electrons · Physics 2020-07-01 Meng-Yuan Li , Peng Ye

In three dimensions, gapped phases can support "fractonic" quasiparticle excitations, which are either completely immobile or can only move within a low-dimensional submanifold, a peculiar topological phenomenon going beyond the…

Strongly Correlated Electrons · Physics 2021-05-26 Joseph Sullivan , Arpit Dua , Meng Cheng

We review what is known about fracton phases of quantum matter. Fracton phases are characterized by excitations that exhibit restricted mobility, being either immobile under local Hamiltonian dynamics, or mobile only in certain directions.…

Strongly Correlated Electrons · Physics 2019-03-19 Rahul M. Nandkishore , Michael Hermele

The notion of higher-order topological phases can have interesting generalizations to systems with subsystem symmetries that exhibit fractonic dynamics for charged excitations. In this work, we systematically study the higher-order…

Strongly Correlated Electrons · Physics 2023-08-02 Jian-Hao Zhang , Meng Cheng , Zhen Bi

In this work, we develop a coupled layer construction of fracton topological orders in $d=3$ spatial dimensions. These topological phases have sub-extensive topological ground-state degeneracy and possess excitations whose movement is…

Strongly Correlated Electrons · Physics 2017-10-12 Han Ma , Ethan Lake , Xie Chen , Michael Hermele

Spurred by recent development of fracton topological phases, unusual topological phases possessing fractionalized quasi-particles with mobility constraints, the concept of symmetries has been renewed. In particular, in accordance with the…

Strongly Correlated Electrons · Physics 2024-05-24 Hiromi Ebisu , Masazumi Honda , Taiichi Nakanishi

Fracton topological phases host fractionalized topological quasiparticles with restricted mobility, with promising applications to fault-tolerant quantum computation. While a variety of exactly solvable fracton models have been proposed,…

Strongly Correlated Electrons · Physics 2019-08-21 Yizhi You , Felix von Oppen

Fractons are a new type of quasiparticle which are immobile in isolation, but can often move by forming bound states. Fractons are found in a variety of physical settings, such as spin liquids and elasticity theory, and exhibit unusual…

Strongly Correlated Electrons · Physics 2020-04-22 Michael Pretko , Xie Chen , Yizhi You

Starting from an isotropic configuration of intersecting, two-dimensional toric codes, we construct a fracton topological phase introduced in Ref. [26], which is characterized by immobile, point- like topological excitations ("fractons"),…

Strongly Correlated Electrons · Physics 2017-01-04 Sagar Vijay

Fractional excitations in fracton models exhibit novel features not present in conventional topological phases: their mobility is constrained, there are an infinitude of types, and they bear an exotic sense of 'braiding'. Hence, they…

Strongly Correlated Electrons · Physics 2019-10-24 Wilbur Shirley , Kevin Slagle , Xie Chen

Fractons are a type of emergent quasiparticle which cannot move freely in isolation, but can easily move in bound pairs. Similar phenomenology is found in boson-affected hopping models, encountered in the study of polaron systems and…

Strongly Correlated Electrons · Physics 2021-01-12 John Sous , Michael Pretko

We introduce a generalization of conventional lattice gauge theory to describe fracton topological phases, which are characterized by immobile, point-like topological excitations, and sub-extensive topological degeneracy. We demonstrate a…

Strongly Correlated Electrons · Physics 2017-01-04 Sagar Vijay , Jeongwan Haah , Liang Fu

Three-dimensional (3D) gapped topological phases with fractional excitations are divided into two subclasses: one has topological order with point-like and loop-like excitations fully mobile in the 3D space, and the other has fracton order…

Strongly Correlated Electrons · Physics 2023-12-13 Yohei Fuji , Akira Furusaki

Fracton models, a collection of exotic gapped lattice Hamiltonians recently discovered in three spatial dimensions, contain some 'topological' features: they support fractional bulk excitations (dubbed fractons), and a ground state…

Strongly Correlated Electrons · Physics 2019-01-01 Wilbur Shirley , Kevin Slagle , Zhenghan Wang , Xie Chen

We study bosonic atoms with two internal states in artificial gauge potentials whose strengths are different for the two components. A series of topological phases for such systems is proposed using the composite fermion theory and the…

Quantum Gases · Physics 2016-08-03 Ying-Hai Wu , Tao Shi

Fracton order describes novel quantum phases of matter that host quasiparticles with restricted mobility, and thus lies beyond the existing paradigm of topological order. In particular, excitations that cannot move without creating multiple…

Strongly Correlated Electrons · Physics 2024-03-29 Hao Song , Nathanan Tantivasadakarn , Wilbur Shirley , Michael Hermele

Fracton phases of matter feature a variety of exciting phenomena stemming from the restricted mobility of their quasiparticles. Here we consider a model of interacting electrons in one dimension that describes hopping of spin-singlet pairs…

Strongly Correlated Electrons · Physics 2021-02-03 Hernan B. Xavier , Rodrigo G. Pereira

Fractons are topological quasiparticles with limited mobility. While there exists a variety of models hosting these excitations, typical fracton systems require rather complicated many-particle interactions. Here, we discuss fracton…

Strongly Correlated Electrons · Physics 2021-08-11 Max Hering , Han Yan , Johannes Reuther

The study of gapped quantum many-body systems in three spatial dimensions has uncovered the existence of quantum states hosting quasiparticles that are confined, not by energetics but by the structure of local operators, to move along lower…

Strongly Correlated Electrons · Physics 2019-11-06 Daniel Bulmash , Maissam Barkeshli
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