Quantum criticality and confinement in weak Mott insulators

Abstract

Electrons undergoing a Mott transition may shed their charge but persist as neutral excitations of a quantum spin liquid (QSL). We introduce concrete two-dimensional models exhibiting this exotic behavior as they transition from superconducting or topological phases into fully charge-localized insulators. We study these Mott transitions and the confinement of neutral fermions at a second transition into a symmetry-broken phase. In the process, we also derive coupled-wire parent Hamiltonians for a non-Abelian QSL and a ${\mathbb{Z}}_4$ QSL.

References in corpus (36)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Quantum Spin Liquids
• Quantum Spin Liquid States
• "Deconfined" quantum critical points
• Quantum Spin Liquids
• Zoo of quantum-topological phases of matter
• Z_2 Gauge Theory of Electron Fractionalization in Strongly Correlated Systems
• A Field Guide to Spin Liquids
• Quantum frustration in organic Mott insulators: from spin liquids to unconventional superconductors
• Topological Insulators and Mott Physics from the Hubbard Interaction
• The Fractional Quantum Hall effect in an array of quantum wires
• From Luttinger liquid to non-Abelian quantum Hall states
• Correlation Effects in Quantum Spin-Hall Insulators: A Quantum Monte Carlo Study
• Theory of a continuous Mott transition in two dimensions
• Particle-hole symmetry and interaction effects in the Kane-Mele-Hubbard model
• Competing orders in one dimensional spin 3/2 fermionic systems
• Putting competing orders in their place near the Mott transition
• Topological spin Hall states, charged skyrmions, and superconductivity in two dimensions
• Quantum impurity solvers using a slave rotor representation
• Deconfined criticality, runaway flow in the two-component scalar electrodynamics and weak first-order superfluid-solid transitions
• Coupled wire construction of chiral spin liquids
• Universal Signatures of Fractionalized Quantum Critical Points
• Chiral Spin Liquids in Arrays of Spin Chains
• Coulomb gas transitions in three-dimensional classical dimer models
• The effects of interaction on quantum spin Hall insulators
• Quantum Confinement Transition in a d-wave Superconductor
• First-order phase transition in easy-plane quantum antiferromagnets
• Competing orders II: the doped quantum dimer model
• Phase Diagram of the Kane-Mele-Hubbard model
• Quantum phase transition from an antiferromagnet to a spin liquid in a metal
• Quantum Phase Transitions around the Staggered Valence Bond Solid
• New easy-plane ${\mathbb{CP}}^{N-1}$ fixed points
• Gapless chiral spin liquid from coupled chains on the kagome lattice
• First-order superfluid to valence bond solid phase transitions in easy-plane SU($N$) magnets for small-$N$
• Unification of parton and coupled-wire approaches to quantum magnetism in two dimensions

Cited by in corpus (1)

• Spin-charge separation in two dimensions: spinon-chargon gauge theories from duality