Microscopic models for fractionalized phases in strongly correlated systems
arXiv:cond-mat/0201320 · doi:10.1103/PhysRevB.66.205104
Abstract
We construct explicit examples of microscopic models that stabilize a variety of fractionalized phases of strongly correlated systems in spatial dimension bigger than one, and in zero external magnetic field. These include models of charge fractionalization in boson-only systems, and various kinds of spin-charge separation in electronic systems. We determine the excitation spectrum and show the consistency with that expected from field theoretic descriptions of fractionalization. Our results are further substantiated by direct numerical calculation of the phase diagram of one of the models.
10 pages, 4 figures
References in corpus (7)
- Fractionalization in an Easy-axis Kagome Antiferromagnet
- Large N expansion for frustrated and doped quantum antiferromagnets
- Topologically protected quantum bits from Josephson junction arrays
- Ground states of quantum antiferromagnets in two dimensions
- Fractionalized Phase in an XY-Z_2 Gauge Model
- Fractionalization patterns in strongly correlated electron systems: Spin-charge separation and beyond
- Bond and Neel order and fractionalization in ground states of easy-plane antiferromagnets in two dimensions
Cited by in corpus (76)
- Non-Abelian Anyons and Topological Quantum Computation
- Quantum Spin Liquids
- Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
- Symmetry Protected Topological phases of Quantum Matter
- Plaquette Ordered Phase and Quantum Phase Diagram in the Spin-1/2 J1-J2 Square Heisenberg Model
- Boson topological insulators: A window into highly entangled quantum phases
- A Class of -Invariant Topological Phases of Interacting Electrons
- Topological order, emergent gauge fields, and Fermi surface reconstruction
- Competing Spin Liquid States in the Spin- Heisenberg Model On Triangular Lattice
- Prediction of Toric Code Topological Order from Rydberg Blockade
- Global Phase Diagram of Competing Ordered and Quantum Spin Liquid Phases on the Kagomé Lattice
- Unusual liquid state of hard-core bosons on the pyrochlore lattice
- Incompressible Quantum Liquids and New Conservation Laws
- Bridging lattice-scale physics and continuum field theory with quantum Monte Carlo simulations
- Phase diagram of spin-1/2 J1-J2 Heisenberg model on honeycomb lattice
- Topological Entanglement Entropy of Z2 Spin liquids and Lattice Laughlin states
- Orthogonal Metals: The simplest non-Fermi liquids
- Topological liquids and valence cluster states in two-dimensional SU(N) magnets
- Universal Signatures of Fractionalized Quantum Critical Points
- Monte Carlo Study of Lattice Compact Quantum Electrodynamics with Fermionic Matter: the Parent State of Quantum Phases
- A continuous transition between fractional quantum Hall and superfluid states
- Exactly soluble models for fractional topological insulators in 2 and 3 dimensions
- Artificial light and quantum order in systems of screened dipoles
- Spin liquid phase in a quantum magnet on the kagome lattice
- Fractional Topological Insulators -- a Pedagogical Review
- An extended Hubbard model with ring exchange: a route to a non-Abelian topological phase
- Thermal Hall effects in quantum magnets
- Entanglement Entropy as a Portal to the Physics of Quantum Spin Liquids
- Coherent Transmutation of Electrons into Fractionalized Anyons
- Phase Structure of d=2+1 Compact Lattice Gauge Theories and the Transition from Mott Insulator to Fractionalized Insulator
- The novel metallic states of the cuprates: Fermi liquids with topological order, and strange metals
- Quantum phase transition from an antiferromagnet to a spin liquid in a metal
- Quantum phase diagram of the spin- Heisenberg model on the honeycomb lattice
- Numerical study of fractionalization in an Easy-axis Kagome antiferromagnet
- Anomalous Crystal Symmetry Fractionalization on the Surface of Topological Crystalline Insulators
- Theory of the Kagome Lattice Ising Antiferromagnet in Weak Transverse Field
- Emergence of Artificial Photons in an Optical Lattice
- All-fermion electrodynamics and fermion number anomaly inflow
- Chiral and Critical Spin Liquids in Spin- Kagome Antiferromagnet
- Evidence for deconfined gauge theory at the transition between toric code and double semion
- Gapless Spin Liquids: Stability and Possible Experimental Relevance
- Spin Structure Factor of the Frustrated Quantum Magnet Cs_2CuCl_4
- Dynamics of Compact Quantum Electrodynamics at Large Fermion Flavor
- Bosonic model with fractionalization
- Entanglement Structure of Deconfined Quantum Critical Points
- Fractionalized conductivity and emergent self-duality near topological phase transitions
- Classification of nematic order in 2+1D: Dislocation melting and lattice gauge theory
- Magnetization plateaus of an easy-axis Kagomé antiferromagnet with extended interactions
- Exotic phase diagram of a cluster charging model of bosons on the kagome lattice
- String flux mechanism for fractionalization in topologically ordered phases
- Pair Superfluid and Supersolid of Correlated Hard-Core Bosons on a Triangular Lattice
- Correlations and entanglement in quantum critical bilayer and necklace XY models
- Topological order: from long-range entangled quantum matter to an unification of light and electrons
- Superfluid Insulator Transitions of Hard-Core Bosons on the Checkerboard Lattice
- Metal to Orthogonal Metal Transition
- Signatures of fractionalization in spin liquids from interlayer thermal transport
- Quantum phase diagram and chiral spin liquid in the extended spin- honeycomb XY model
- The Roton Fermi Liquid
- Three-dimensional Abelian and non-Abelian gauge Higgs theories
- Topological orders of monopoles and hedgehogs: From electronic and magnetic spin-orbit coupling to quarks
- Fractional Quantum Hall Effect and Featureless Mott Insulators
- Solving quantum rotor model with different Monte Carlo techniques
- Classical vertex model dualities in a family of 2D frustrated quantum antiferromagnets
- Deconfinement transitions in three-dimensional compact lattice Abelian Higgs models with multiple-charge scalar fields
- Variational identification of a fractional Chern insulator in an extended Bose-Hubbard model
- Critical relaxational dynamics at the continuous transitions of three-dimensional spin models with gauge symmetry
- Fractionalization as an alternate to charge ordering in electronic insulators
- Uncovering gauge-dependent critical order-parameter correlations by a stochastic gauge fixing at O() and Ising continuous transitions
- Effect of Ring Exchange on Orbital Antiferromagnet
- Signatures of gapless fermionic spinons on a strip of the kagome Heisenberg antiferromagnet
- Topological order and the deconfinement transition in the (2+1) dimensional compact Abelian Higgs model
- Magnetic field induced partially polarized chiral spin liquid in a transition metal dichalcogenide moiré system
- Entropy and Seebeck signals meet on the edges
- Continuous interpolation between the fully frustrated Ising and quantum dimer models
- Field-induced phase transitions in the Kitaev-Heisenberg model: A sign-problem-free quantum Monte Carlo study and possible application to -RuCl3
- Breathing kagome XY quantum magnet with four-site ring exchange