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

References in corpus (8)

• Landau theory of quantum spin glasses of rotors and Ising spins
• Spin glass freezing in Kondo lattice compounds
• Quantum Critical Point in the Spin Glass-Kondo Transition in Heavy Fermion Systems
• The Ising spin glass in a transverse field. Results of two fermionic models
• On exact mappings between fermionic Ising spin glass and classical spin glass models
• History Dependent Phenomena in the Transverse Ising Ferroglass: the Free Energy Landscape
• Fermionic Heisenberg Model for Spin Glasses with BCS Pairing Interaction
• Replica symmetry breaking in the transverse-field Ising spin-glass model: Two frmionic representations

Cited by in corpus (5)

• Role of the transverse field in inverse freezing in the fermionic Ising spin-glass model
• Inverse freezing in the Hopfield Fermionic Ising Spin Glass
• Nonlinear susceptibility of a quantum spin glass under uniform transverse and random longitudinal magnetic fields
• 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