Abstract
We investigate a two-sublattice fermionic infinite-range Ising spin glass (SG) model in a transverse field Γ by one-step replica symmetry breaking (1S-RSB) theory. In this model, a parallel magnetic field H breaks the symmetry of the sublattices. It destroys the antiferromagnetic (AF) order, but it can favor a non-ergodic mixed phase ( SG + AF ) characterizing an asymmetric RSB region. The Γ field introduces a quantum spin flip mechanism that suppresses the magnetic orders leading them to quantum critical points. The competition between disorder and quantum fluctuations is analyzed by 1S-RSB solution in the asymmetric RSB region.
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