Mutually avoiding directed polymers in a quenched random medium exhibit a density-squared interaction free energy, reproduced by filling single-polymer transfer-matrix eigenvalues.
Zygouras, Directed polymers in a random environ- ment: A review of the phase transitions, Stochastic Pro- cess
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A Spectral Route to Directed-Polymer Glasses
Mutually avoiding directed polymers in a quenched random medium exhibit a density-squared interaction free energy, reproduced by filling single-polymer transfer-matrix eigenvalues.