Bosonic model with $Z_3$ fractionalization

Abstract

Bosonic model with unfrustrated hopping and short-range repulsive interaction is constructed that realizes $Z_3$ fractionalized insulator phase in two dimensions and in zero magnetic field. Such phase is characterized as having gapped charged excitations that carry fractional electrical charge 1/3 and also gapped $Z_3$ vortices above the topologically ordered ground state.

7 pages, 3 figures

References in corpus (4)

• Fractionalization in an Easy-axis Kagome Antiferromagnet
• Topologically protected quantum bits from Josephson junction arrays
• Exotic order in simple models of bosonic systems
• Microscopic models for fractionalized phases in strongly correlated systems

Cited by in corpus (21)

• Non-Abelian Anyons and Topological Quantum Computation
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Origin of Mott insulating behavior and superconductivity in twisted bilayer graphene
• Controlling frustrated liquids and solids with an applied field in a kagome Heisenberg antiferromagnet
• Fermions, strings, and gauge fields in lattice spin models
• Spin Hamiltonian for which the Chiral Spin Liquid is the Exact Ground State
• Quantum order from string-net condensations and origin of light and massless fermions
• Fractionalization, topological order, and quasiparticle statistics
• Fractional Topological Insulators -- a Pedagogical Review
• Theory of the Kagome Lattice Ising Antiferromagnet in Weak Transverse Field
• Gapless Spin Liquids: Stability and Possible Experimental Relevance
• Classical spin-liquid on the maximally frustrated honeycomb lattice
• Irrational charge from topological order
• Superfluid Insulator Transitions of Hard-Core Bosons on the Checkerboard Lattice
• Spin ice thin films: Large-N theory and Monte Carlo simulations
• Phases and phase transitions in a $U(1)\times U(1)$ system with $\theta =2\pi /3$ mutual statistics
• ${\mathbb{Z}}_3$ Topological Order in Face Centered Cubic Quantum Plaquette Model
• Monte Carlo study of phase transitions out of Symmetry-Enriched Topological phases of bosons in two dimensions
• Classification of symmetry-enriched topological quantum spin liquids
• Fractionalization as an alternate to charge ordering in electronic insulators
• Robust Topological Degeneracy of Classical Theories