Disordered λφ4+ρφ6 Landau-Ginzburg model

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2018-03-15

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We discuss a disordered λφ4+ρφ6 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.

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Physical Review D, v. 97, n. 6, 2018.

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