Fermionic Ising glasses in magnetic transverse field with BCS pairing interaction

Abstract

We study a fermionic infinited-ranged Ising spin glass with a real space BCS interaction in the presence of an applied transverse field. The problem is formulated in the integral functional formalism where the SU(2) spins are given in terms of bilinear combinations of Grassmann fields. The problem is solved within static approximation and the replica symmetry ansatz combined with previous approaches used to study the critical behavior of the quantum Ising spin glass in a transverse field and the spin glass Heisenberg model with BCS pairing. Our results show that the transverse field has strong effect in the phase boundary of the spin glass phase and the PAIR phase in which there is a long range order corresponding to formations of pairs. The location of the tricritical point in the PAIR phase transition line is also affected.

18 pages, 3 figures, submitted to EPJB

References in corpus (11)

• Disorder-driven non-Fermi liquid behavior in Kondo alloys
• Non-Fermi Liquid Behavior in U and Ce Alloys: Criticality, Disorder, Dissipation, and Griffiths-McCoy singularities
• Non Fermi Liquid Behaviour near a $T=0$ spin-glass transition
• A Solvable Spin-Glass of Quantum Rotors
• Spin glass versus superconductivity
• Spin-glass phase of cuprates
• 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
• Fermionic Heisenberg Model for Spin Glasses with BCS Pairing Interaction
• Random Magnetic Interactions and Spin Glass Order Competing with Superconductivity: Interference of the Quantum Parisi Phase

Cited by in corpus (2)

• Quantum critical point in the spin glass-antiferromagnetism competition for fermionic Ising Models
• Antiferromagnetic Ising spin glass competing with BCS pairing interaction in a transverse field