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quant-ph2025
Distinct Types of Parent Hamiltonians for Quantum States: Insights from the State as a Quantum Many-Body Scar
Lei Gioia, Sanjay Moudgalya, Olexei I. Motrunich
The construction of parent Hamiltonians that possess a given state as their ground state is a well-studied problem. In this work, we generalize this notion by considering simple qu…
cond-mat.str-el2025
No-go theorem for single time-reversal invariant symmetry-protected Dirac fermions in 3+1d
Lei Gioia, Anton A. Burkov, Taylor L. Hughes
We employ a general method, known as anomaly-matching, to derive new no-go theorems of fermionic lattice models. For our main result, we show that time-reversal invariant 3+1d latt…
cond-mat.str-el2025★ 5 cited
Exact Chiral Symmetries of 3+1D Hamiltonian Lattice Fermions
Lei Gioia, Ryan Thorngren
We construct Hamiltonian models on a 3+1d cubic lattice for a single Weyl fermion and for a single Weyl doublet protected by exact (as opposed to emergent) chiral symmetries. In th…