5 citations · 6 across the 6 of their papers we have counts for
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Disentangling the Toric Code
Lei Gioia, Salvatore D. Pace, Ruben Verresen +2
Commuting-projector Hamiltonians with integer spectrum such as the 1+1d Ising ferromagnet and the 2+1d toric code may be regarded as the generators of non-on-site symmetries…
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…
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…
state is not the unique ground state of any local Hamiltonian
Lei Gioia, Ryan Thorngren
The characterization of ground states among all quantum states is an important problem in quantum many-body physics. For example, the celebrated entanglement area law for gapped Ha…