3 citations · 4 across the 8 of their papers we have counts for
8 papers
Free to Interacting Map for Crystalline SPT Phases: Equivariance vs Crystalline Equivalence
Daniel Sheinbaum, Omar Antolín-Camarena
Freed and Hopkins developed an ansatz for classifying interacting SPT phases using invertible field theories with a natural Free to Interacting (FTI) map from free fermion phases.…
Weak in the boundary: How weak SPT phases spoil anomaly matching
Daniel Sheinbaum, Omar Antolín Camarena
We show how weak symmetry protected topological (SPT) phases on systems with a boundary are not in 1-to-1 correspondence with weak SPT phases on fully periodic systems, breaking th…
Weak topological phases in the presence of interactions
Omar Antolín Camarena, Arun Debray, Cameron Krulewski +3
We study weak symmetry-protected topological phases (SPTs) in the presence of short-range interactions. By comparing homotopical free and interacting classifications of these SPTs,…
Failure of the Crystalline Equivalence Principle for Weak Free Fermions
Daniel Sheinbaum, Omar Antolín-Camarena
Interacting crystalline SPT phases were first classified by Thorngren and Else through the crystalline equivalence principle, suggesting that a spatial group symmetry can be treate…
Solitons in Weakly Non-linear Topological Systems: Linearization, Equivariant Cohomology and K-theory
Daniel Sheinbaum
There is a lack of knowledge about the topological invariants of non-linear -dimensional systems with a periodic potential. We study these systems through a classification of th…
Crystallographic Interacting Topological Phases and Equivariant Cohomology: To assume or not to assume
Daniel Sheinbaum, Omar Antolín Camarena
For symmorphic crystalline interacting gapped systems we derive a classification under adiabatic evolution. This classification is complete for non-degenerate ground states. For th…
Classifying space for quantum contextuality
Cihan Okay, Daniel Sheinbaum
We construct a topological space to study contextuality in quantum mechanics. The resulting space is a classifying space in the sense of algebraic topology. Cohomological invariant…
Topology of Fermi Surfaces and anomaly inflows
Alejandro Adem, Omar Antolín Camarena, Gordon W. Semenoff +1
We derive a rigorous classification of topologically stable Fermi surfaces of non-interacting, discrete translation-invariant systems from electronic band theory, adiabatic evoluti…