ITP South Building 6620

Annealed, as opposed to quenched, degrees of freedom are allowed to choose their equilibrium state rather than remaining frozen in a predetermined configuration. Models of annealed classical degrees of freedom in contact with quantum mechanical variables can emerge in the presence of quasi-conserved quantities or as effective descriptions of collective excitations, valid away from the zero temperature limit. In contrast to their fully quantum counterparts, these models can be efficiently simulated by classical Monte Carlo algorithms. The Falicov-Kibble (FK) model - the simplest of its kind - has been widely studied and used as testing ground to dynamical mean field theory methods.  In this talk, I will first show that the phase diagram of the FK model still held some surprises, including an example of a disordered-free localized phase. Second, I will show that introducing frustration, by going to the triangular lattice, an FK-like model can support rather exotic liquid phases. Thirdly, I will show how FK interactions affect the topological properties of the Haldane model.  References:  [1] Interaction-tuned Anderson versus Mott localization  A. E. Antipov, Y. Javanmard, P. Ribeiro, S. Kirchner Phys. Rev. Lett. 117, 146601 (2016) [2] Classical and quantum liquids induced by quantum fluctuations. M. M. Oliveira, P. Ribeiro, S. Kirchner. Phys. Rev. Lett. 122, 197601 (2019) [3] Temperature-driven gapless topological insulator. M. Gon？alves, P. Ribeiro, R. Mondaini, E. V. Castro. Phys. Rev. Lett. 122, 126601 (2019)