# Coupled-wire constructions: a Luttinger liquid approach to topology

@article{Meng2019CoupledwireCA, title={Coupled-wire constructions: a Luttinger liquid approach to topology}, author={Tobias Meng}, journal={The European Physical Journal Special Topics}, year={2019}, volume={229}, pages={527-543} }

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.

## 21 Citations

### Microscopic study of the coupled-wire construction and plausible realization in spin-dependent optical lattices

- Physics
- 2020

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Over the years, many theoretical frameworks have been developed to understand the remarkable physics of the quantum Hall system. In this work we discuss the interplay among quantum wires,…

### Fractonic topological phases from coupled wires

- PhysicsPhysical Review Research
- 2021

In three dimensions, gapped phases can support "fractonic" quasiparticle excitations, which are either completely immobile or can only move within a low-dimensional submanifold, a peculiar…

### Interaction-enabled fractonic higher-order topological phases

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In this work, we present a collection of three-dimensional higher-order symmetry protected topological phases (HOSPTs) with gapless hinge modes that exist only in strongly interacting systems subject…

### ZN lattice gauge theory in a ladder geometry

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Under the perspective of realizing analog quantum simulations of lattice gauge theories, ladder geometries offer an intriguing playground, relevant for ultracold atom experiments. Here, we…

### Bosonization for fermions and parafermions

- PhysicsThe European Physical Journal Special Topics
- 2020

Parafermions are fractional excitations which can be regarded as generalizations of Majorana bound states, but in contrast to the latter they require electron-electron interactions. Compared to…

### Chiral edge states in (2+1)-dimensional topological phases

- PhysicsInternational Journal of Modern Physics A
- 2019

Chiral edge states of [Formula: see text]-dimensional Abelian and non-Abelian topological phases can be represented by chiral conformal field theories with integer and noninteger values of central…

### Strange correlators for topological quantum systems from bulk-boundary correspondence

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”Strange” correlators provide a tool to detect topological phases arising in many-body models by computing the matrix elements of suitably deﬁned two-point correlations between the states under…

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