21 citations · 41 across the 2 of their papers we have counts for
2 papers
quant-ph2007★ 21 cited
Topology and Phases in Fermionic Systems
M. B. Hastings
There can exist topological obstructions to continuously deforming a gapped Hamiltonian for free fermions into a trivial form without closing the gap. These topological obstruction…
cond-mat.stat-mech2006★ 20 cited
Quasi-Adiabatic Continuation in Gapped Spin and Fermion Systems: Goldstone's Theorem and Flux Periodicity
M. B. Hastings
We apply the technique of quasi-adiabatic continuation to study systems with continuous symmetries. We first derive a general form of Goldstone's theorem applicable to gapped nonre…