Speaker
Dr
Gergely Szirmai
(Wigner Research Centre of the Hungarian Academy of Sciences, Budapest)
Description
We describe the spin dynamics of the antiferromagnetic
Mott insulator ground state of high spin fermions on a 2-
dimensional hexagonal lattice. It was pointed out that
such multicomponent systems in 1 and 2 dimensions can
realize states without breaking the spin rotation
symmetry when the number of components is large
enough [1-3]. The low energy fluctuations on top of
these so called spin liquid states are described by
various gauge theories whose character depend on the
symmetries of the mean-field solution [4]. Therefore
high spin, ultracold, fermionic alkaline earth metal atoms
loaded into optical lattices can serve as simulators of
quantum gauge theories.
Since in experiments with ultracold atoms it is a hard
task to go to sufficiently low temperatures it becomes
important to study the effects of finite temperature. We
carry out the stability analysis of the mean-field solution
and calculate the free energy at Finite temperature to
determine the phase diagram relevant for experiments.
References:
1. J. B. Marston, and I. Affleck, Phys. Rev. B 39, 11538,
(1989).
2. M. Hermele, V. Gurarie, and A. M. Rey, Phys. Rev. Lett.
103, 135301
(2009).
3. G. Szirmai, E. Szirmai, A. Zamora, and M. Lewenstein,
Phys. Rev. A 84,
011611 (2011).
4. X.-G. Wen, Quantum Field Theory of Many-Body
Systems (Oxford University
Press, 2004).
Primary author
Dr
Gergely Szirmai
(Wigner Research Centre of the Hungarian Academy of Sciences, Budapest)
