A Z2 x Z2 gauge theory on a 1D chain produces an LSM theorem in the Gauss law subspace via a U(1) symmetry from the constraint, forbidding trivial gapped states and identifying a gapless Dirac fermion point with r^{-2/9} correlations.
Seifnashri, Lieb-Schultz-Mattis anomalies as obstruc- tions to gauging (non-on-site) symmetries, SciPost Phys
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
cond-mat.str-el 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Modulated SPT phases in 1D are classified by H²(G, U(1)_s) and obey LSM-type theorems forbidding symmetric short-range entangled ground states.
citing papers explorer
-
Lieb-Schultz-Mattis theorem from gauge constraints
A Z2 x Z2 gauge theory on a 1D chain produces an LSM theorem in the Gauss law subspace via a U(1) symmetry from the constraint, forbidding trivial gapped states and identifying a gapless Dirac fermion point with r^{-2/9} correlations.
-
Matrix Product States for Modulated Topological Phases: Crystalline Equivalence Principle and Lieb-Schultz-Mattis Constraints
Modulated SPT phases in 1D are classified by H²(G, U(1)_s) and obey LSM-type theorems forbidding symmetric short-range entangled ground states.