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

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

Blog Article

The fractionalization of microscopic degrees of freedom blondor pale quartz 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 viking k2 slide gate operator 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 nonchiral quantum spin liquids.