2004/11/05 by S. G. Magalhães, S. G Magalhães, F. M. Zimmer
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Ansatz #Heisenberg model #Ising model #Pairing #Phase boundary #Phase transition #Random Matrices and Applications #Replica trick #Spin glass #Symmetry breaking #Theoretical and Computational Physics #Tricritical point #cond-mat.stat-mech #cond-mat.supr-con
paper · pdf · doi:10.1140/epjb/e2005-00041-7
18 pages, 3 figures, submitted to EPJB
arxiv created 2004/11/05 · openalex publication_date 2005/01/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.