Finite-temperature phase transitions in the SU (N ) Hubbard model

@article{Yanatori2016FinitetemperaturePT,
  title={Finite-temperature phase transitions in the SU (N ) Hubbard model},
  author={Hiromasa Yanatori and Akihisa Koga},
  journal={Physical Review B},
  year={2016},
  volume={94},
  pages={041110}
}
We investigate the SU($N$) Hubbard model for the multi-component fermionic optical lattice system, combining dynamical mean-field theory with the continuous-time quantum Monte Carlo method. We obtain the finite temperature phase diagrams with $N\le 6$ and find that low temperature properties depends on the parity of the components. The magnetically ordered state competes with the correlated metallic state in the system with the even number of components $(N\ge 4)$, yielding the first-order… 

Figures from this paper

Spontaneously Symmetry-Breaking States in the Attractive SU(N) Hubbard Model

We investigate spontaneously symmetry-breaking states in the attractive SU(N) Hubbard model at half filling. Combining dynamical mean-field theory with the continuous-time quantum Monte Carlo method,

Breaking of SU(4) symmetry and interplay between strongly correlated phases in the Hubbard model

We study the thermodynamic properties of four-component fermionic mixtures described by the Hubbard model using the dynamical mean-field-theory approach. Special attention is given to the system with

Filling-driven Mott transition in SU(N) Hubbard models

We study the filling-driven Mott transition involving the metallic and paramagnetic insulating phases in SU(N) Fermi-Hubbard models, using the dynamical mean-field theory and the numerical

Ferromagnetic instability for the single-band Hubbard model in the strong-coupling regime

We study a ferromagnetic instability in a doped single-band Hubbard model by means of dynamical mean-field theory with the continuous-time quantum Monte Carlo simulations. Examining the effect of the

Staggered ordered phases in the three-orbital Hubbard model

We study ordered phases with broken translational symmetry in the half-filled three-orbital Hubbard model with antiferromagnetic Hund coupling by means of dynamical mean-field theory (DMFT) and

SU(3) fermions on the honeycomb lattice at 13 filling

SU(N) symmetric fermions on a lattice, which can be realized in ultracold-atom-based quantum simulators, have very promising prospects for realizing exotic states of matter. Here we present the

Spontaneously orbital-selective superconductivity in a three-orbital Hubbard model

We study a three-orbital Hubbard model with negative Hund coupling in infinite dimensions, combining dynamical mean-field theory with continuous time quantum Monte Carlo simulations. This model,

Enhancing quantum order with fermions by increasing species degeneracy

One of the challenges for fermionic cold-atom experiments in optical lattices is to cool the systems to low enough temperature so that they can form quantum degenerate ordered phases. In particular,

Ferromagnetically ordered metal in the single-band hubbard model

We study a ferromagnetic instability in a single-band Hubbard model on the hypercubic lattice away from half filling. Using dynamical mean-field theory with the continuous-time quantum Monte Carlo

Bad metallic transport in a cold atom Fermi-Hubbard system

This work studies transport in a clean quantum system: ultracold lithium-6 in a two-dimensional optical lattice, a testing ground for strong interaction physics in the Fermi-Hubbard model, and determines the diffusion constant by measuring the relaxation of an imposed density modulation and modeling its decay hydrodynamically.