539 citations · 6.8k across the 160 of their papers we have counts for
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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…
The Flux-Phase of the Half-Filled Band
E. H. Lieb
The conjecture is verified that the optimum, energy minimizing magnetic flux for a half-filled band of electrons hopping on a planar, bipartite graph is per square plaquette. W…
The ground state of a general electron-phonon Hamiltonian is a spin singlet
J. K. Freericks, E. H. Lieb
The many-body ground state of a very general class of electron-phonon Hamiltonians is proven to contain a spin singlet (for an even number of electrons on a finite lattice). The ph…
Quantumdots
E. H. Lieb, J. P. Solovej, J. Yngvason
Atomic-like systems in which electronic motion is two dimensional are now realizable as ``quantum dots''. In place of the attraction of a nucleus there is a confining potential, us…