Disordered λ φ4+ρ φ6 Landau-Ginzburg model
Abstract
We discuss a disordered λ φ4+ρ φ6 Landau-Ginzburg model defined in a d -dimensional space. First we adopt the standard procedure of averaging the disorder-dependent free energy of the model. The dominant contribution to this quantity is represented by a series of the replica partition functions of the system. Next, using the replica-symmetry ansatz in the saddle-point equations, we prove that the average free energy represents a system with multiple ground states with different order parameters. For low temperatures we show the presence of metastable equilibrium states for some replica fields for a range of values of the physical parameters. Finally, going beyond the mean-field approximation, the one-loop renormalization of this model is performed, in the leading-order replica partition function.
- Publication:
-
Physical Review D
- Pub Date:
- March 2018
- DOI:
- 10.1103/PhysRevD.97.065017
- Bibcode:
- 2018PhRvD..97f5017D