Coupled-wire constructions: a Luttinger liquid approach to topology
T Meng - The European Physical Journal Special Topics, 2020 - Springer
Coupled-wire constructions use bosonization to analytically tackle the strong interactions
underlying fractional topological states of matter. We give an introduction to this technique …
underlying fractional topological states of matter. We give an introduction to this technique …
Non-Abelian twist to integer quantum Hall states
At a fixed magnetic filling fraction, fractional quantum Hall states may display a plethora of
interaction-induced competing phases. Effective Chern-Simons theories have suggested the …
interaction-induced competing phases. Effective Chern-Simons theories have suggested the …
Dihedral twist liquid models from emergent Majorana fermions
We present a family of electron-based coupled-wire models of bosonic orbifold topological
phases, referred to as twist liquids, in two spatial dimensions. All local fermion degrees of …
phases, referred to as twist liquids, in two spatial dimensions. All local fermion degrees of …
Topological ground state degeneracy of the two-channel Kondo lattice
There are indications from the large-N analysis that multi-channel Kondo lattices have
topological order. We use the coupled-wire construction to study the channel paramagnetic …
topological order. We use the coupled-wire construction to study the channel paramagnetic …
Topological orders with classical Lie group symmetries from coupling electron wires
We study the topological order that arises from chiral states with ${\rm SU}(N) $ or ${\rm
SO}(N) $ edge-state symmetry. This extends our previous study of topological orders that …
SO}(N) $ edge-state symmetry. This extends our previous study of topological orders that …
Bridging three-dimensional coupled-wire models and cellular topological states: Solvable models for topological and fracton orders
Three-dimensional (3D) gapped topological phases with fractional excitations are divided
into two subclasses: one has topological order with point-like and loop-like excitations fully …
into two subclasses: one has topological order with point-like and loop-like excitations fully …
Intermediate symmetric construction of transformation between anyon and Gentile statistics
Y Shen, FL Zhang - Communications in Theoretical Physics, 2021 - iopscience.iop.org
Gentile statistics describes fractional statistical systems in the occupation number
representation. Anyon statistics researches those systems in the winding number …
representation. Anyon statistics researches those systems in the winding number …