55 citations · 175 across the 10 of their papers we have counts for
10 papers
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…
Weyl locally integrable conformal gravity, rotation curves and cosmic filaments
Michel Duneau
Weyl's conformal theory of gravity is an extension of Einstein's theory of general relativity which associates metrics with 1-forms . In the case of locally integrable (closed non-…
Quantum simulation of a 2D quasicrystal with cold atoms
Nicolas Macé, Anuradha Jagannathan, Michel Duneau
We describe a way to obtain a two-dimensional quasiperiodic tiling with eight-fold symmetry using cold atoms. A series of such optical tilings, related by scale transformations, is…
The eight-fold way for optical quasicrystals
Anuradha Jagannathan, Michel Duneau
In a recent Letter we proposed a means to realize a quasicrystal with eight-fold symmetry by trapping particles in an optical potential created by four lasers. The quasicrystals ob…
Tight-binding models in a quasiperiodic optical lattice
Anuradha Jagannathan, Michel Duneau
This paper describes how one can use four standing wave laser fields to realize a two dimensional optical quasicrystal with eight-fold symmetry, closely related to the well-known o…
An eight-fold optical quasicrystal with cold atoms
Anuradha Jagannathan, Michel Duneau
We propose a means to realize two-dimensional quasiperiodic structures by trapping atoms in an optical potential. The structures have eight-fold symmetry and are closely related to…
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…