Monte Carlo studies of phase transitions and critical phenomena

The current state of Monte Carlo work on phase transitions and critical phe nomena is reviewed. Both classical and quantum Monte Carlo results are disc ussed with emphasis on statistical lattice-model studies involving the high ly accurate calculation of critical indices. It is shown that finite-size s caling is an effective method whereby not only simple lattice models but al so those of complex practical magnetic materials can be treated. For models allowing crossover phenomena, it is shown that both finite-size scaling th eory and conventional power-law functions must be used in carrying out a Mo nte Carlo analysis.