539 citations · 6.8k across the 160 of their papers we have counts for
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Superfluidity in Dilute Trapped Bose Gases
Elliott H. Lieb, Robert Seiringer, Jakob Yngvason
A commonly used theoretical definition of superfluidity in the ground state of a Bose gas is based on the response of the system to an imposed velocity field or, equivalently, to t…
Stability of Relativistic Matter via Thomas-Fermi Theory
E. H. Lieb, M. Loss, H. Siedentop
A Thomas-Fermi-Weizsaecker type theory is constructed, by means of which we are able to give a relatively simple proof of the stability of relativistic matter. Our procedure has th…
Erratum: Exact Ground State Energy of the Strong-Coupling Polaron
E. H. Lieb, L. E. Thomas
The polaron has been of interest in condensed matter theory and field theory for about half a century, especially the limit of large coupling constant. It was not until 1983, howev…
Stability of Matter in Magnetic Fields
Elliott Lieb, Michael Loss, Jan Philip Solovej
In the presence of arbitrarily large magnetic fields, matter composed of electrons and nuclei was known to be unstable if or is too large. Here we prove that matter {\it is…
Proof of the Strong Scott Conjecture for Atomic and Molecular Cores
Alexei Iantchenko, Elliott H. Lieb, Heinz Siedentop
The strong Scott conjecture about the electron density at a distance 1/Z from an atomic nucleus of charge and its generalization for molecules are proved. The density, suitably…
The Ground States of Large Quantum Dots in Magnetic Fields
E. H. Lieb, J. P. Solovej, J. Yngvason
The quantum mechanical ground state of a 2D -electron system in a confining potential ( is a coupling constant) and a homogeneous magnetic field is studied i…
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…
Generalized Hartree-Fock Theory and the Hubbard Model
Volker Bach, Elliott H. Lieb, Jan philip Solovej
The familiar unrestricted Hartree-Fock variational principle is generalized to include quasi-free states. As we show, these are in one-to-one correspondence with the one-particle d…
The Hubbard Model: Some Rigorous Results and Open Problems
Elliott Lieb
Paper: cond-mat/9311033 The Hubbard model of interacting electrons, like the Ising model of spin-spin interactions, is the simplest possible model displaying many ``real world'' fe…
There are No Unfilled Shells in Hartree-Fock Theory
V. Bach, E. H. Lieb, M. Loss +1
Hartree-Fock theory is supposed to yield a picture of atomic shells which may or may not be filled according to the atom's position in the periodic table. We prove that shells are…
Uniform Density Theorem for the Hubbard Model
E. H. Lieb, M. Loss, R. J. McCann
A general class of hopping models on a finite bipartite lattice is considered, including the Hubbard model and the Falicov-Kimball model. For the half-filled band, the single-parti…
Fluxes, Laplacians and Kasteleyn's Theorem
Elliott Lieb, Michael Loss
The following problem, which stems from the ``flux phase'' problem in condensed matter physics, is analyzed and extended here: One is given a planar graph (or lattice) with prescri…