3 papers
cond-mat.str-el2020
Disentangling supercohomology symmetry-protected topological phases in three spatial dimensions
Yu-An Chen, Tyler D. Ellison, Nathanan Tantivasadakarn
We build exactly solvable lattice Hamiltonians for fermionic symmetry-protected topological (SPT) phases in (3+1)D classified by group supercohomology. A central benefit of our con…
cond-mat.str-el2019
A tensor network approach to 2D bosonization
Sujeet K. Shukla, Tyler D. Ellison, Lukasz Fidkowski
We present a 2D bosonization duality using the language of tensor networks. Specifically, we construct a tensor network operator (TNO) that implements an exact 2D bosonization dual…
cond-mat.str-el2018
Disentangling interacting symmetry protected phases of fermions in two dimensions
Tyler D. Ellison, Lukasz Fidkowski
We construct fixed point lattice models for group supercohomology symmetry protected topological (SPT) phases of fermions in 2+1D. A key feature of our approach is to construct fin…