Fractonic topological phases from coupled wires

• URL: http://arxiv.org/abs/2010.15148v3
• Date: Tue, 18 May 2021 04:05:40 GMT
• Title: Fractonic topological phases from coupled wires
• Authors: Joseph Sullivan, Arpit Dua and Meng Cheng
• Abstract summary: We show that gapped and gapless phases with fractonic excitations can emerge from the models. In the gapped case, we argue that fractonic excitations are mobile along the wire direction, but their mobility in the transverse plane is generally reduced. We show that the excitations in general have infinite-order fusion structure, distinct from previously known gapped fracton models.
• Score: 2.7286395031146062
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 conventional framework of topological quantum field theory. In this work we explore fractonic topological phases using three-dimensional coupled wire constructions, which have proven to be a successful tool to realize and characterize topological phases in two dimensions. We find that both gapped and gapless phases with fractonic excitations can emerge from the models. In the gapped case, we argue that fractonic excitations are mobile along the wire direction, but their mobility in the transverse plane is generally reduced. We show that the excitations in general have infinite-order fusion structure, distinct from previously known gapped fracton models. Like the 2D coupled wire constructions, many models exhibit gapless (or even chiral) surface states, which can be described by infinite-component Luttinger liquids. However, the universality class of the surface theory strongly depends on the surface orientation, thus revealing a new type of bulk-boundary correspondence unique to fracton phases.

Related papers

• Discovery of a topological exciton insulator with tunable momentum order [7.605112731805254]
  Topology and correlations are fundamental concepts in modern physics, but their simultaneous occurrence within a single quantum phase is exceptionally rare. We present the discovery of such a phase of matter in Ta2Pd3Te5, a semimetal where the Coulomb interaction between electrons and holes leads to the formation of excitonic bound states below T=100 K. Our spectroscopy unveils the development of an insulating gap stemming from the condensation of these excitons, thus giving rise to a highly sought-after correlated quantum phase known as the excitonic insulator.
  arXiv  Detail & Related papers  (2023-12-26T03:05:10Z)
• Higher-order topological Peierls insulator in a two-dimensional atom-cavity system [58.720142291102135]
  We show how photon-mediated interactions give rise to a plaquette-ordered bond pattern in the atomic ground state. The pattern opens a non-trivial topological gap in 2D, resulting in a higher-order topological phase hosting corner states. Our work shows how atomic quantum simulators can be harnessed to investigate novel strongly-correlated topological phenomena.
  arXiv  Detail & Related papers  (2023-05-05T10:25:14Z)
• Phase diagram of Rydberg-dressed atoms on two-leg triangular ladders [50.591267188664666]
  We investigate the phase diagram of hard-core bosons in a triangular ladder with next-to-nearest-neighbor interaction along each leg. For weak interactions, Abelian bosonization predicts a spin density wave and a fully gapless Luttinger liquid phase. The competition with the zigzag interaction generates a charge density wave, a 'polarized holonic' phase, and a crystalline phase at the filling 2/5.
  arXiv  Detail & Related papers  (2022-07-01T12:49:04Z)
• Non-Gaussian superradiant transition via three-body ultrastrong coupling [62.997667081978825]
  We introduce a class of quantum optical Hamiltonian characterized by three-body couplings. We propose a circuit-QED scheme based on state-of-the-art technology that implements the considered model.
  arXiv  Detail & Related papers  (2022-04-07T15:39:21Z)
• Geometric phase in a dissipative Jaynes-Cummings model: theoretical explanation for resonance robustness [68.8204255655161]
  We compute the geometric phases acquired in both unitary and dissipative Jaynes-Cummings models. In the dissipative model, the non-unitary effects arise from the outflow of photons through the cavity walls. We show the geometric phase is robust, exhibiting a vanishing correction under a non-unitary evolution.
  arXiv  Detail & Related papers  (2021-10-27T15:27:54Z)
• Floquet higher-order Weyl and nexus semimetals [1.417373050337415]
  We present a strategy to obtain, using time-sequenced normal insulator phases only, Floquet higher-order Weyl semimetals and Floquet higher-order nexus semimetals. The fascinating topological phases we obtain are previously unknown and can be experimentally studied using, for example, a three-dimensional lattice of coupled ring resonators.
  arXiv  Detail & Related papers  (2021-04-15T13:06:36Z)
• Hybrid Fracton Phases: Parent Orders for Liquid and Non-Liquid Quantum Phases [0.8250374560598496]
  We introduce hybrid fracton orders: three-dimensional gapped quantum phases that exhibit the phenomenology of both conventional three-dimensional topological orders and fracton orders. The hybrid orders presented here can also be understood as the deconfined phase of a gauge theory whose symmetry gauge group is given by an Abelian global $G$ and subsystem symmetries of a normal $N$ along lower-dimensional sub-regions.
  arXiv  Detail & Related papers  (2021-02-18T18:56:15Z)
• Theory of Anomalous Floquet Higher-Order Topology: Classification, Characterization, and Bulk-Boundary Correspondence [1.9087335681007476]
  We provide a framework to understand anomalous Floquet higher-order topological insulators (AFHOTIs) Such AFHOTIs are defined by their robust, symmetry-protected corner modes pinned at special quasienergies. The corner-mode physics of an AFHOTI is found to be generically indicated by 3D Dirac/Weyl-like topological singularities.
  arXiv  Detail & Related papers  (2020-10-15T18:00:01Z)
• Quantum anomalous Hall phase in synthetic bilayers via twistless twistronics [58.720142291102135]
  We propose quantum simulators of "twistronic-like" physics based on ultracold atoms and syntheticdimensions. We show that our system exhibits topologicalband structures under appropriate conditions.
  arXiv  Detail & Related papers  (2020-08-06T19:58:05Z)
• Dynamical solitons and boson fractionalization in cold-atom topological insulators [110.83289076967895]
  We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities. We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors. Using a pumping argument, we show that it survives also for finite interactions.
  arXiv  Detail & Related papers  (2020-03-24T17:31:34Z)
• Topological Defect Networks for Fractons of all Types [0.0]
  We conjecture that all gapped phases, including fracton phases, admit a topological defect network description. We also provide a defect network construction of a novel fracton phase hosting non-Abelian fractons. Our work also sheds light on new techniques for constructing higher order gapped boundaries of 3+1D TQFTs.
  arXiv  Detail & Related papers  (2020-02-12T19:00:00Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.