346 citations · 1.2k across the 26 of their papers we have counts for
27 papers
Spectral Mapping Theorem between SU(N) and SU(Ns/N) Heisenberg Models and Exact Diagonalization of SU(4) and SU(7) Long-Range Ordered Phases on the Triangular Lattice
Samuel Gozel, Pierre Nataf
We first show that, for the SU(N) Heisenberg model with isotropic two-site interactions on an arbitrary lattice of Ns sites, the full spectrum in its singlet sector (when N divides…
symmetry breaking in SU(N) Fermi-Hubbard dots at zero and finite temperature
Loïc Herviou, Elodie Campan, Pierre Nataf
We address the SU(N) Fermi-Hubbard model on a chain, with the number of degenerate orbitals, or colors, for each fermion. In the limit of both large number of colors and pa…
The SU(N) Fermi-Hubbard Model on two sites: Bethe Ansatz solution and Quantum Phase Transition of the Lipkin-Meshkov-Glick Model in the large-N limit
Pierre Nataf
We show that the SU(N) Fermi-Hubbard model (FHM) on two sites, where N is the number of flavors of each fermion, corresponds to an exactly solvable two-level many-boson model that…
Density Matrix Renormalization Group simulations of the SU(N) Fermi-Hubbard chain implementing the full SU(N) symmetry via Semi-Standard Young Tableaux and Unitary Group Subduction Coefficients
Pierre Nataf
We have developed an efficient method for performing density matrix renormalization group (DMRG) simulations of the SU(N) Fermi-Hubbard chain with open boundary conditions, fully l…
Numerical observation of Nagaoka ferromagnetism
Thomas Botzung, Pierre Nataf
We provide numerical evidence of the Nagaoka's theorem in the Fermi-Hubbard model on various cluster geometries, such as the square, the honeycomb and the triangul…
Exact Diagonalization of Fermi-Hubbard Models
Thomas Botzung, Pierre Nataf
We show how to perform exact diagonalizations of Fermi-Hubbard models on -site clusters separately in each irreducible representation ({irrep}) of $\mathrm{SU}(…