Monte Carlo simulation of a new SO(3) spin glass model on the 2-dimensional random lattices

A new spin glass model defined on the N x N 2-dimensional random lattice with the SO(3) spin variables is proposed and studied by Monte Carlo simultions. The thermodynamics, such as the internal energy and specific heat per spin and the topological excition are calculated. The thermal hysteresis and mixphase runs are also made to obtain some information of the phase transitions. A higher-order, instead of the usual first-or second-order, phase transition due to the vortex condensation is found. Moreover, the results show the important Frustration and disorder effects which are main causes of low-temperature properties of Spin Glass