14 papers
Fermionic Villain model with exact lattice chiral symmetries
Zhiyao Lu, Shu-Heng Shao
We present a fermionic lattice Hamiltonian that exactly realizes the global symmetry and the associated chiral anomalies o…
Strong Spatial Mixing for General 2-Spin Systems: A Unified Approach from Zero-Freeness
Shuai Shao, Xiaowei Ye
The paper develops new methods to prove strong spatial mixing for general 2‑spin systems by linking it directly to zero‑free regions of their partition functions, enabling Weitz's…
Infinite-Order Lattice Chiral Anomalies and CPT
Elijah Lew-Smith, Salvatore D. Pace, Shu-Heng Shao
A key property of a global symmetry's anomaly is its order: the smallest integer for which the diagonal symmetry of the -copy system is anomaly-free. While many familiar lat…
Symmetry-Enforced Fermi Surfaces
Minho Luke Kim, Salvatore D. Pace, Shu-Heng Shao
We identify a symmetry that enforces every symmetric model to have a Fermi surface. These symmetry-enforced Fermi surfaces are realizations of a powerful form of symmetry-enforced…
Lattice chiral symmetry from bosons in 3+1d
Zhiyao Lu, Sahand Seifnashri, Shu-Heng Shao
We present a solvable Hamiltonian that realizes an exact lattice chiral symmetry. Nielsen-Ninomiya-type no-go theorems are evaded by using lattice bosons rat…
Non-Invertible Interfaces Between Symmetry-Enriched Critical Phases
Saranesh Prembabu, Shu-Heng Shao, Ruben Verresen
Gapless quantum phases can become distinct when internal symmetries are enforced, in analogy with gapped symmetry-protected topological (SPT) phases. However, this distinction does…