LIMITS D-]INFINITE AND T-]0 MAY NOT COMMUTE IN THE ISING SPIN-GLASS

A replica-symmetric low-temperature expansion for the short-range Ising-spin-glass model may be arranged by the number of flipped-sites sites that have spins in some, say m, of the n replicas down. The contribution of states with up to three flipped sites is obtained for the free energy and the Edwards-Anderson order parameter. The two-flipped sites contribution to the free energy, which at d gives the (negative) zero-temperature entropy of the Sherrington-Kirkpatrick model, is shown at finite d to give no entropy at T=0. Higher-order contributions are argued to also not give any entropy at T=0. © 1990 The American Physical Society.