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• W1972951161 abstract "We analyse the eigenvalue structure of the replicated transfer matrix of one-dimensional disordered Ising models. In the limit of n → 0 replicas, an infinite sequence of transfer matrices is found, each corresponding to a different irreducible representation (labelled by a positive integer ρ) of the permutation group. We show that the free energy can be calculated from the replica-symmetric subspace (ρ = 0). The other replica symmetry broken representations (ρ ≠ 0) are physically meaningful, since their largest eigenvalues λ(ρ) control the disorder-averaged moments ⟨⟨(⟨SiSj⟩ − ⟨Si⟩⟨Sj⟩)ρ⟩⟩ ∝ (λ(ρ))|i − j| of the connected two-point correlations." @default.
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• W1972951161 date "1996-10-20" @default.
• W1972951161 modified "2023-09-27" @default.
• W1972951161 title "Replica structure of one-dimensional disordered Ising models" @default.
• W1972951161 cites W2056162638 @default.
• W1972951161 doi "https://doi.org/10.1209/epl/i1996-00212-8" @default.
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