One-step replica symmetry breaking solution for fermionic Ising spin glass in a transverse field

Abstract

The fermionic Ising spin glass models in a transverse field are investigated in a Grassmann path integral formalism. The Parisi's scheme of one-step replica symmetry breaking (RSB) is used within the static ansatz. This formalism has already been applied in a theory in which $m$ (Parisi's block-size parameter) is taken as a constant (PRB 72, 014447 (2005)). Now, it is extended to consider $m$ as a variational parameter. In this case, the results show that RSB is present when $T\to 0$, in which the system is driven by quantum fluctuations.

8 pages, 3 figures, accepted for publication as a Brief Report in Phys. Rev. B

Cited by in corpus (3)

• Role of the transverse field in inverse freezing in the fermionic Ising spin-glass model
• One-step replica symmetry breaking solution for a highly asymmetric two-sublattice fermionic Ising spin glass model in a transverse field
• Stability conditions for fermionic Ising spin-glass models in the presence of a transverse field