Spin-charge separation in two dimensions: spinon-chargon gauge theories from duality
arXiv:2206.00015 · doi:10.1103/PhysRevB.106.165114
Abstract
Strong interactions between electrons in two dimensions can realize phases where their spins and charges separate. We capture this phenomenon within a dual formulation. Focusing on square lattices, we analyze the long-wavelength structure of vortices when the microscopic particles -- electrons or spinful bosons -- are near half-filling. These conditions lead to a compact gauge theory of spinons and chargons, which arise as the fundamental topological defects of the low-energy vortices. The gauge theory formulation is particularly suitable for studying numerous exotic phases and transitions. We support the general analysis by an exact implementation of the duality of a coupled-wire array. Finally, we demonstrate how the latter can be exploited to construct parent Hamiltonians for fractional phases and their transitions.
References in corpus (6)
- "Deconfined" quantum critical points
- Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
- U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
- Quantum frustration in organic Mott insulators: from spin liquids to unconventional superconductors
- Unification of parton and coupled-wire approaches to quantum magnetism in two dimensions
- Quantum criticality and confinement in weak Mott insulators