55 citations · 175 across the 10 of their papers we have counts for
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Properties of the Ammann-Beenker tiling and its square approximants
Anuradha Jagannathan, Michel Duneau
Our understanding of physical properties of quasicrystals owes a great deal to studies of tight-binding models constructed on quasiperiodic tilings. Among the large number of possi…
Metal-insulator transition in the Hartree-Fock phase diagram of the fully polarized homogeneous electron gas in two dimensions
B. Bernu, F. Delyon, M. Duneau +1
We determine numerically the ground state of the two-dimensional, fully polarized electron gas within the Hartree-Fock approximation without imposing any particular symmetries on t…
Existence of a metallic phase and upper bounds of the Hartree-Fock energy in the homogeneous electron gas
F. Delyon, M. Duneau, B. Bernu +1
We consider the ground state of the homogeneous electron gas and we prove that a Hartree-Fock solution, motivated by previous simulations, has lower energy than the Fermi gas in th…
Metal-insulator transition in the two-dimensional fully polarized homogeneous electron gas from Hartree-Fock solutions
B. Bernu, F. Delyon, M. Duneau +1
We determine the ground state of the two-dimensional, fully polarized electron gas within the Hartree-Fock approximation without imposing any particular symmetries on the solutions…
Penrose Quantum Antiferromagnet
Anuradha Jagannathan, Attila Szallas, Stefan Wessel +1
The Penrose tiling is a perfectly ordered two dimensional structure with fivefold symmetry and scale invariance under site decimation. Quantum spin models on such a system can be e…