Partial order in a frustrated Potts model

Details Partial order in a frustrated Potts model Partial order in a frustrated Potts model

2009-07-22

arxiv.org/abs/0907.3812v1

Physics

Condensed Matter

Statistical Mechanics

7 pages, 8 figures, submitted to PRB

Scientific paper

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 $\beta$-pyrochlore oxide KOs$_2$O$_6$. 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 sheets and the disordered sheets stack one after another. We obtain a fairly large residual entropy at $T = 0$ which originates from the disordered sheets.

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