Bifurcating entanglement-renormalization group flows of fracton stabilizer models
Abstract
We investigate the entanglement-renormalization group flows of translation-invariant topological stabilizer models in three dimensions. Fracton models are observed to bifurcate under entanglement renormalization, generically returning at least one copy of the original model. Based on this behavior we formulate the notion of bifurcated equivalence for fracton phases, generalizing foliated fracton equivalence. The notion of quotient superselection sectors is also generalized accordingly. We calculate bifurcating entanglement-renormalization group flows for a wide range of examples and, based on those results, propose conjectures regarding the classification of translation-invariant topological stabilizer models in three dimensions.
Keywords
Cite
@article{arxiv.1909.12304,
title = {Bifurcating entanglement-renormalization group flows of fracton stabilizer models},
author = {Arpit Dua and Pratyush Sarkar and Dominic J. Williamson and Meng Cheng},
journal= {arXiv preprint arXiv:1909.12304},
year = {2020}
}
Comments
22+16 pages, 14 figures, 1+3 tables, 3 supplementary files