Correlated Disorder in One-Dimensional Ising System at Zero Temperature

Abstract

The disordered ground-states occurring at the phase boundary are discussed for the one-dimensional Ising system with the coupling constants J,, J 2 ,-··, J,. The zero-point entropy and the Curie constant in the close vicinity of OoK are evaluated exactly for a disordered point satisfied by J, +2J,+ ··· +rJ,=O. The correlation function at the same point is shown to have a longer period than in the contiguous ordered state. The field-induced disorder, which is pointed out to exist possibly under certain conditions, is also exactly discussed.here the correlated disorder to occur in the presence of certain magnetic field, provided the system is nearly at the disordered point but not ferromagnetic. If it is the case, application of the magnetic field may provide us with another art of the adiabatic cooling.*) *l We are indebted to T. Hasecla for this observation.

Devil's staircases in synthetic dimensions and gauge fields

“…[49,53] may no longer be stable. For ν = 1/2, for example, the crystal state 2 can compete with another crystal state 13 (such a competition has also been discussed in a frustrated Ising model [57,58] and in the thin-torus limit of a Pfaffian quantum Hall For ν = 1/q, we plot the energy of the crystal state (q − d)(q + d) (with d = 1, . .…”