797 citations · 2.3k across the 21 of their papers we have counts for
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math-ph2009★ 13 cited
Quantization of Hall Conductance For Interacting Electrons Without Averaging Assumptions
Matthew B. Hastings, Spyridon Michalakis
We consider two-dimensional Hamiltonians on a torus with finite range, finite strength interactions and a unique ground state with a non-vanishing spectral gap, and a conserved loc…
quant-ph2009★ 15 cited
Approximating the ground state of gapped quantum spin systems
Eman Hamza, Spyridon Michalakis, Bruno Nachtergaele +1
We consider quantum spin systems defined on finite sets equipped with a metric. In typical examples, is a large, but finite subset of Z^d. For finite range Hamiltonians wit…