Bosonic SET to SPT Transition under Dyonic LSM Theorem
arXiv:1810.06751
Abstract
Employing large-scale quantum Monte Carlo simulatoins, we study the phase diagram of a quantum spin model which is subject to the recently developed dyonic Lieb-Shultz-Mattis (LSM) theorem. The theorem predicts there are symmetry enriched/protected topological (SET/SPT) phases in the phase diagram. Our numerical results reveal a first order quantum phase transition between SET and SPT phases, consistent with an anyon condensation mechanism that enforces SPT phase according to the theorem. Also there exists in the phase diagram a symmetry-breaking phase in the form of superfluid (SF). The transition between SET and SF is continuous and that between SPT and SF is first order. Interestingly, the SET, SPT and SF phases meet at a critical endpoint, whose presence can be universally explained via theory contains emergent gauge field coupled to vortex fields, and consequently reveals the exotic feature of our model even beyond the realm of dyonic LSM.
arXiv comment14 pages, 7 figures
References in corpus (44)
- Topological Insulators
- Topological insulators and superconductors
- Quantum Spin Hall Effect in Graphene
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Topological Order and the Quantum Spin Hall Effect
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Topological Insulators in Three Dimensions
- Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
- Quantum Spin Liquid States
- Symmetry protected topological orders and the group cohomology of their symmetry group
- Fractionalized excitations in the spin liquid state of a kagomé lattice antiferromagnet
- Quantum Orders and Symmetric Spin Liquids
- Quantum Monte Carlo with Directed Loops
- Lieb-Schultz-Mattis in Higher Dimensions
- Commensurability, excitation gap and topology in quantum many-particle systems on a periodic lattice
- Quantum codes on a lattice with boundary
- Fractionalization in an Easy-axis Kagome Antiferromagnet
- A classification of symmetry enriched topological phases with exactly solvable models
- Topological Entanglement Entropy of a Bose-Hubbard Spin Liquid
- Integer quantum Hall effect for bosons: A physical realization
- Translational symmetry and microscopic constraints on symmetry-enriched topological phases: a view from the surface
- Markov Chain Monte Carlo Method without Detailed Balance
- Gapped spin-1/2 spinon excitations in a new kagome quantum spin liquid compound CuZn(OH)FBr
- Universal Signatures of Fractionalized Quantum Critical Points
- Exotic Quantum Phase Transitions of Dirac fermions
- Spin liquid phase in a quantum magnet on the kagome lattice
- Entanglement phases as holographic duals of anyon condensates
- Bona fide interaction-driven topological phase transition in correlated SPT states
- Dynamical Signature of Symmetry Fractionalization in Frustrated Magnets
- Anyon condensation and a generic tensor-network construction for symmetry protected topological phases
- From Claringbullite to a new spin liquid candidate CuZn(OH)FCl
- Phases and magnetization process of an anisotropic Shastry-Sutherland model
- Numerical study of fractionalization in an Easy-axis Kagome antiferromagnet
- Quantum Spin Liquid with Even Ising Gauge Field Structure on Kagome Lattice
- Microscopic Realization of 2-Dimensional Bosonic Topological Insulators
- Effect of Zn doping on the antiferromagnetism in kagome CuZn(OH)FBr
- Dyonic Lieb-Shultz-Mattis Theorem and Symmetry Protected Topological Phases in Decorated Dimer Models
- Lieb-Schultz-Mattis theorems for symmetry protected topological phases
- Diagnosing Fractionalization from the Spin Dynamics of Spin Liquids on the Kagome Lattice by Quantum Monte Carlo Simulations
- Classification of symmetry fractionalization in gapped spin liquids
- Exotic phase diagram of a cluster charging model of bosons on the kagome lattice
- Bilayer Graphene as a platform for Bosonic Symmetry Protected Topological States
- Visualizing a Bosonic Symmetry Protected Topological Phase in an Interacting Fermion Model
- Topological Spin Liquid with Symmetry-Protected Edge States