Spin liquid phases of alkaline-earth-metal atoms at finite temperature

Abstract

We study spin liquid phases of spin-5/2 alkaline earth atoms on a honeycomb lattice at finite temperatures. Our analysis is based on a Gutzwiller projection variational approach recast to a path-integral formalism. In the framework of a saddle-point approximation we determine spin liquid phases with lowest free energy and study their temperature dependence. We identify a critical temperature, where all the spin liquid phases melt and the system goes to the paramagnetic phase. We also study the stability of the saddle-point solutions and show that a time-reversal symmetry breaking state, a so called chiral spin liquid phase is realized even at finite temperatures. We also determine the spin structure factor, which, in principle, is an experimentally measurable quantity and is the basic tool to map the spectrum of elementary excitations of the system

Competing Orders in the 2D Half-FilledSU(2N)Hubbard Model through the Pinning-Field Quantum Monte Carlo Simulations

“…In particular, an SU (6) Mott insulator of 173 Yb has also been observed [1,16]. The above theoretical and experimental progress has stimulated a great deal of interests in exploring novel properties of strongly correlated systems with high symmetries [17][18][19][20][21][22][23].…”

Stabilization of the chiral phase of theSU(6m)Heisenberg model on the honeycomb lattice withmparticles per site formlarger than 1

“…In this paper, our aim is to address this issue in the context of the SU(N ) Heisenberg models on the honeycomb lattice. This model has been studied by Szirmai et al 29 , Sinkovicz et al 31 for k = 6 in the mean-field limit where N and m tend to infinity keeping the ratio k fixed. They found a chiral ground state with 2π/3 flux per hexagonal plaquette, and two plaquette states with higher energies: the 0ππ plaquette in which each 0 flux plaquette is surrounded by π flux plaquettes, and a 000 plaquette phase in which hexagons are completely decoupled.…”

“…Note that plaquette and chiral states can easily be distinguished experimentally by their very different signatures in the spin structure factor, as discussed in Refs. [29] and [31].…”

Magnetic ordering of three-component ultracold fermionic mixtures in optical lattices

“…As for higher-symmetry models, there is an ongoing debate about the ground states of the SU(4) Hubbard and corresponding Heisenberg models because of different and sometimes controversial predictions [18][19][20][21]. As for SU(N ≥ 5) models, most studies agree that longrange magnetic order is suppressed even at zero temper-ature [18,[22][23][24][25].…”