Coupled-wire constructions: a Luttinger liquid approach to topology

Abstract

Coupled-wire constructions use bosonization to analytically tackle the strong interactions underlying fractional topological states of matter. We give an introduction to this technique, discuss its strengths and weaknesses, and provide an overview of the main achievements of coupled-wire constructions.

Short introduction and review on coupled-wire constructions

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Cited by in corpus (25)

• Guided accumulation of active particles by topological design of a second-order skin effect
• Interaction Enabled Fractonic Higher-Order Topological Phases
• Unification of parton and coupled-wire approaches to quantum magnetism in two dimensions
• Fractonic topological phases from coupled wires
• General scatterings and electronic states in the quantum-wire network of moiré systems
• Bosonization for fermions and parafermions
• Strange correlators for topological quantum systems from bulk-boundary correspondence
• ${\mathbb{Z}}_N$ lattice gauge theory in a ladder geometry
• Electrically tunable correlated domain wall network in twisted bilayer graphene
• Hinge Modes and Surface States in Second-Order Topological Three-Dimensional Quantum Hall Systems induced by Charge Density Modulation
• Ground-state properties of electron-electron biwire systems
• AKLT-states as ZX-diagrams: diagrammatic reasoning for quantum states
• Drude weight increase by orbital and repulsive interactions in fermionic ladders
• Microscopic Study of the Coupled-Wire Construction and Plausible Realization in Spin-Dependent Optical Lattices
• Density matrix of electrons coupled to phonons and the electron-phonon entanglement content of excited states
• Bridging three-dimensional coupled-wire models and cellular topological states: Solvable models for topological and fracton orders
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• Microscopic theory of fractional excitations in gapless bilayer quantum Hall states: semi-quantized quantum Hall states
• Tomonaga-Luttinger Liquid Behavior in a Rydberg-encoded Spin Chain
• Quantum wires, Chern-Simons theory, and dualities in the quantum Hall system
• Manifestation of edge-bulk incompatibility in fractional quantum Hall platform
• Scattering Theory of Chiral Edge Modes in Topological Magnon Insulators
• Coupled-wire descriptions of unconventional quantum states in twisted nanostructures
• Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays
• Bosonization, Duality, and the $C$-Theorem in the Non-Abelian Thirring Model