Partial order of frustrated Potts model

Ryo Igarashi, Masao Ogata
2010 Journal of Physics, Conference Series  
We investigate a 4-state ferromagnetic Potts model with a special type of geometrical frustration on a three dimensional diamond lattice by means of Wang-Landau Monte Carlo simulation motivated by a peculiar structural phase transition found in β-pyrochlore oxide KOs_2O_6. We find that this model undergoes unconventional first-order phase transition; half of the spins in the system order in a two dimensional hexagonal-sheet-like structure, while the remaining half stay disordered. The ordered
more » ... eets and the disordered sheets stack one after another. We obtain a fairly large residual entropy at T = 0 which originates from the disordered sheets.
doi:10.1088/1742-6596/200/2/022019 fatcat:ptcnui5d2vhzrbgpie7ggfjjtq