Spin quantum number in the ground state of the Mattis-Heisenberg model

Journal of Statistical Physics - Tập 26 - Trang 839-845 - 1981
Hidetoshi Nishimori1
1Department of Physics, University of Tokyo, Tokyo, Japan

Tóm tắt

Total spin quantum number is rigorously calculated for a quantum version of the Mattis model of random spin systems. Crossover between three universality classes of the Ising model, theXY model, and the Heisenberg model is explicitly worked out in the presence of randomness. The randomness of the type of the Mattis model is shown to have no thermodynamic effects even in quantum systems.

Tài liệu tham khảo

G. Toulouse,Commun. Phys. 2:115 (1977). D. Mattis,Phys. Lett. 56A:421 (1976). H. Nishimori and M. Suzuki,Phys. Lett. 81A:84 (1981). E. Lieb and D. Mattis,J. Math. Phys. 3:749 (1962). D. Mattis,Phys. Rev. Lett. 42:1503 (1979). T. Wolfram and J. Callaway,Phys. Rev. 130:2207 (1963). P. Fazekas and P. W. Anderson,Phil. Mag. 30:423 (1974). P. Fazekas,J. Phys. C 13:L209 (1980). L. G. Marland and D. D. Betts,Phys. Rev. Lett. 43:1618 (1979). M. Suzuki and S. Miyashita,Can. J. Phys. 56:902 (1978).