P. Azaria

Metal-insulator transition in the one-dimensional SU ( N ) Hubbard model

We investigate the metal-insulator transition of the one-dimensional SU(N) Hubbard model for repulsive interaction. Using the bosonization approach a Mott transition in the charge sector at half-filling (k_F=\pi/Na_0) is conjectured for N > 2. Expressions for the charge and spin velocities as well as for the Luttinger liquid parameters and some correlation functions are given. The theoretical predictions are compared with numerical results obtained with an improved zero-temperature quantum Monte Carlo approach. The method used is a generalized Greens function Monte Carlo scheme in which the stochastic time evolution is partially integrated out. Very accurate results for the gaps, velocities, and Luttinger liquid parameters as a function of the Coulomb interaction U are given for the cases N=3 and N=4. Our results strongly support the existence of a Mott-Hubbard transition at a {\it non-zero} value of the Coulomb interaction. We find

Effect of symmetry-breaking perturbations in the one-dimensionalSU(4)spin-orbital model

U_c \sim 2.2

Spin 3/2 fermions with attractive interactions in a one- dimensional optical lattice: phase diagrams, entanglement entropy, and the effect of the trap

for N=3 and

Spontaneous Plaquette Formation in the SU(4) Spin-Orbital Ladder

U_c \sim 2.8

Phase transitions in the one-dimensional spin- S J 1 − J 2 XY model

for N=4.

Confinement versus deconfinement of Cooper Pairs in One-Dimensional Spin-3/2 Fermionic Cold Atoms

We study the effect of symmetry breaking perturbations in the one-dimensional SU(4) spin-orbital model. We allow the exchange in spin (

Three-Component Fermi Gas in a one-dimensional Optical Lattice

J_1

Dynamical Symmetry Enlargement Versus Spin-Charge Decoupling in the One-Dimensional SU(4) Hubbard Model

) and orbital (

Spin-stiffness and topological defects in two-dimensional frustrated spin systems

J_2

Effect of Hund coupling in the one-dimensional SU(4) Hubbard model

) channel to be different and thus reduce the symmetry to SU(2)