In the Fock space of two interacting particles in a 1D disordered chain, random potentials alone give correlated disorder and a fluctuation exponent of 1/2, while random long-range interactions decorrelate the disorder and produce the KPZ exponent of 1/3.
3D Anderson transition for two electrons in 2D
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It is shown that the Coulomb interaction can lead to delocalization of two electron states in two-dimensional (2D) disordered potential in a way similar to the Anderson transition in three dimensions (3D). At fixed disorder strength the localized phase corresponds to low electron density and large value of parameter r_s.
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Universal fluctuations of localized two interacting particles in one dimension
In the Fock space of two interacting particles in a 1D disordered chain, random potentials alone give correlated disorder and a fluctuation exponent of 1/2, while random long-range interactions decorrelate the disorder and produce the KPZ exponent of 1/3.