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

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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

Scientific paper

10.1103/PhysRevB.74.012202

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 $T\to0$, in which the system is driven by quantum fluctuations.

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