Critical properties of S 1/2 Ising chains with long-range interactions

摘要

The phase diagram and critical exponent of the correlation length for an Ising chain with a long-range interaction in the form of 1/r(1+sigma) for S= 1/2,1,3/2,2 is calculated by the finite-range scaling technique. The spin dependence of the critical temperature and critical exponent nu in the classical and nonclassical regions is also studied. It is observed that, with a good approximation, the critical exponent of the correlation length is independent of the magnitude of spin in both the classical and nonclassical regions. [References: 21]