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Conference Papers Year : 2021

Two-body metal-insulator transitions in the Anderson-Hubbard model

Abstract

Abstract We review our recent results on Anderson localization in systems of two interacting particles coupled by contact interactions. Based on an exact mapping to an effective single-particle problem, we numerically investigate the occurrence of metal-insulator phase transitions for the pair in two-(2D) and three-dimensional (3D) disordered lattices. In two dimensions, we find that interactions cause an exponential enhancement of the pair localization length with respect to its single-particle counterpart, but do not induce a delocalization transition. In particular we show that previous claims of 2D interaction-induced Anderson transitions are the results of strong finite-size effects. In three dimensions we find that the pair undergoes a metal-insulator transition belonging to the same (orthogonal) universality class of the noninteracting model. We then explore the phase diagram in the space of energy E , disorder W and interaction strength U , which reveals a rich and counterintuitive structure, endowed with multiple metallic and insulating phases. We point out that this phenomenon originates from the molecular and scattering-like nature of the pair states available at given energy and disorder strength.
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hal-04551555 , version 1 (06-05-2024)

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F Stellin, G Orso. Two-body metal-insulator transitions in the Anderson-Hubbard model. International Conference on Computer Simulation in Physics and beyond (CSP 2020), Oct 2020, MOSCOU, Russia. pp.012044, ⟨10.1088/1742-6596/1740/1/012044⟩. ⟨hal-04551555⟩
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