346 citations · 1.2k across the 26 of their papers we have counts for
13 papers · 1 filter
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…
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}(…
Edge states and universality class of the critical two-box symmetric SU(3) chain
Pierre Nataf, Samuel Gozel, Frédéric Mila
We numerically demonstrate that, although it is critical, the two-box symmetric chain possesses edge states in the adjoint representation whose excitation energy s…
Abelian SU Chiral Spin Liquids on the Square Lattice
Ji-Yao Chen, Jheng-Wei Li, Pierre Nataf +7
In the physics of the Fractional Quantum Hall (FQH) effect, a zoo of Abelian topological phases can be obtained by varying the magnetic field. Aiming to reach the same phenomenolog…
Rashba cavity QED: a route towards the superradiant quantum phase transition
Pierre Nataf, Thierry Champel, Gianni Blatter +1
We develop a theory of cavity quantum electrodynamics for a 2D electron gas in the presence of Rashba spin-orbit coupling and perpendicular static magnetic field, coupled to spatia…
DMRG simulations of SU(N) Heisenberg chains using standard Young tableaux: fundamental representation and comparison with finite-size Bethe ansatz
Pierre Nataf, Frédéric Mila
We develop an efficient method to perform density matrix renormalization group simulations of the SU(N) Heisenberg chain with open boundary conditions taking full advantage of the…
Time-reversal symmetry breaking Abelian chiral spin liquid in Mott phases of three-component fermions on the triangular lattice
C. Boos, C. J. Ganahl, M. Lajkó +5
We provide numerical evidence in favor of spontaneous chiral symmetry breaking and the concomitant appearance of an Abelian chiral spin liquid for three-component fermions on the t…
Linear Flavor-Wave Theory for Fully Antisymmetric Irreducible Representations
Francisco Hyunkyu Kim, Karlo Penc, Pierre Nataf +1
The extension of the linear flavor-wave theory (LFWT) to fully antisymmetric irreducible representations (irreps) of is presented in order to investigate the color…
Exact diagonalization of Heisenberg and AKLT chains using the full symmetry
Kianna Wan, Pierre Nataf, Frédéric Mila
We present a method for the exact diagonalization of the Heisenberg interaction Hamiltonian, using Young tableaux to work directly in each irreducible representati…
Exact diagonalization of Heisenberg chains in the fully symmetric and antisymmetric representations
Pierre Nataf, Frederic Mila
Motivated by recent experimental progress in the context of ultra-cold multi-color fermionic atoms in optical lattices, we have developed a method to exactly diagonalize the Heisen…