61 citations · 90 across the 4 of their papers we have counts for
4 papers
Local Topological Quantum Order and Spectral Gap Stability for the AKLT Models on the Hexagonal and Lieb Lattices
Thomas Jackson, Bruno Nachtergaele, Amanda Young
We prove that the ground state of the AKLT models on the hexagonal lattice and the Lieb lattice satisfy the local topological quantum order (LTQO) condition. This will be a consequ…
Recursive spectral relations and the charge versus neutral gap in fractional quantum Hall systems
Marius Lemm, Bruno Nachtergaele, Simone Warzel +1
We consider quantum lattice Hamiltonians and derive recursive spectral relations bridging successive particle number sectors. One relation gives conditions under which the charge g…
Quantum spin chains with quantum group symmetry
M. Fannes, B. Nachtergaele, R. F. Werner
We consider actions of quantum groups on lattice spin systems. We show that if an action of a quantum group respects the local structure of a lattice system, it has to be an ordina…
The Stability of the Peierls Instability for Ring-Shaped Molecules
Elliott Lieb, Bruno Nachtergaele
We investigate the conventional tight-binding model of -electrons on a ring-shaped mol\-e\-cule of atoms with nearest neighbor hopping. The hopping amplitudes, , d…