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math-ph2026
Localization Dichotomy for Hall Insulators on the Lattice
Alex Bols
We prove the localization dichotomy conjecture for non-periodic Hall insulators on the lattice. That is, we show that the Fermi projector of a gapped exponentially local Hamilt…
math-ph2026
A complete classification of 2d symmetry protected states with symmetric entanglers
Alex Bols, Wojciech De Roeck, Michiel De Wilde +1
We consider symmetry protected topological states of 2d quantum spin systems, with a finite symmetry group . It has been conjectured that such states are classified by the cohom…
math-ph2026
Sector Theory of Levin-Wen Models II : Fusion and Braiding
Alex Bols, Boris Kjær
This is the continuation of our study of the Levin-Wen model based on an arbitrary unitary fusion category on the infinite plane. The ground state of the Levin-Wen mo…