95 citations · 248 across the 19 of their papers we have counts for
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math-ph2021★ 10 cited
The spectral gap of a fractional quantum Hall system on a thin torus
Simone Warzel, Amanda Young
We study a fractional quantum Hall system with maximal filling in the thin torus limit. The corresponding Hamiltonian is a truncated version of Haldane's pseudopotential…
math-ph2021
A Bulk Spectral Gap in the Presence of Edge States for a Truncated Pseudopotential
Simone Warzel, Amanda Young
We study the low-energy properties of a truncated Haldane pseudopotential with maximal half filling, which describes a strongly correlated system of spinless bosons in a cylinder g…
math-ph2021★ 2 cited
Stability of the bulk gap for frustration-free topologically ordered quantum lattice systems
Bruno Nachtergaele, Robert Sims, Amanda Young
We prove that uniformly small short-range perturbations do not close the bulk gap above the ground state of frustration-free quantum spin systems that satisfy a standard local topo…