https://doi.org/10.1140/epjb/e2005-00041-7
Fermionic Ising glasses in magnetic transverse field with BCS pairing interaction
Departamento de Física,
CCNE
Universidade Federal de Santa Maria,
Faixa de Camobi, Km 5,
97105-900 Santa Maria, RS, Brazil
Corresponding author: a ggarcia@ccne.ufsm.br
Received:
16
June
2004
Published online:
25
February
2005
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.
PACS: 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 64.60.Cn – Order-disorder transformations; statistical mechanics of model systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005
