Unification of parton and coupled-wire approaches to quantum magnetism in two dimensions

Abstract

The fractionalization of microscopic degrees of freedom is a remarkable manifestation of strong interactions in quantum many-body systems. Analytical studies of this phenomenon are primarily based on two distinct frameworks: field theories of partons and emergent gauge fields, or coupled arrays of one-dimensional quantum wires. We unify these approaches for two-dimensional spin systems. Via exact manipulations, we demonstrate how parton gauge theories arise in microscopic wire arrays and explicitly relate spin operators to emergent quasiparticles and gauge-field monopoles. This correspondence allows us to compute physical correlation functions within both formulations and leads to a straightforward algorithm for constructing parent Hamiltonians for a wide range of exotic phases. We exemplify this technique for several chiral and non-chiral quantum spin liquids.

32 pages, 11 figures

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Cited by in corpus (10)

• Landau-Forbidden Quantum Criticality in Rydberg Quantum Simulators
• Paired fermions in strong magnetic fields and daughters of even-denominator Hall plateaus
• Symmetry-resolved entanglement of 2D symmetry-protected topological states
• Bridging three-dimensional coupled-wire models and cellular topological states: Solvable models for topological and fracton orders
• Majorana Fermi surface state in a network of quantum spin chains
• Weak symmetry breaking and topological order in a 3D compressible quantum liquid
• Triangular lattice models of the Kalmeyer-Laughlin spin liquid from coupled wires
• Quantum criticality and confinement in weak Mott insulators
• Spin-charge separation in two dimensions: spinon-chargon gauge theories from duality
• Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays