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quant-ph2019
Existence of a Spectral Gap in the Affleck-Kennedy-Lieb-Tasaki Model on the Hexagonal Lattice
Marius Lemm, Anders W. Sandvik, Ling Wang
The Affleck-Kennedy-Lieb-Tasaki (AKLT) quantum spin chain was the first rigorous example of an isotropic spin system in the Haldane phase. The conjecture that the AKL…
quant-ph2019★ 12 cited
Gaplessness is not generic for translation-invariant spin chains
Marius Lemm
The existence of a spectral gap above the ground state has far-reaching consequences for the low-energy physics of a quantum many-body system. A recent work of Movassagh [R. Movass…
quant-ph2019★ 7 cited
Finite-size criteria for spectral gaps in -dimensional quantum spin systems
Marius Lemm
We generalize the existing finite-size criteria for spectral gaps of frustration-free spin systems to dimensions. We obtain a local gap threshold of , independen…