We consider an Ising chain with Hamiltonian H=ij(ijSiSj)(a|i-j|) where the ij are independent random variables. We find a phase transition for 121. For 1223 the critical exponents exhibit mean-field classical behavior. Near =1 we find a smoothly varying specific heat. We investigate the critical behavior near the upper and lower critical range by means of an expansion around =1 and 23.
ASJC Scopus subject areas
- Condensed Matter Physics