Absence of two-body delocalization transitions in the two-dimensional Anderson-Hubbard model
We investigate Anderson localization of two particles moving in a two-dimensional (2D) disordered lattice and coupled by contact interactions. Based on transmission-amplitude calculations for relatively large strip-shaped grids, we find that all pair states are localized in lattices of infinite size...
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| Veröffentlicht in: | Physical review. B 2020-10, Vol.102 (14), Article 144201 |
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| creator | Stellin, Filippo Orso, Giuliano |
| description | We investigate Anderson localization of two particles moving in a two-dimensional (2D) disordered lattice and coupled by contact interactions. Based on transmission-amplitude calculations for relatively large strip-shaped grids, we find that all pair states are localized in lattices of infinite size. In particular, we show that previous claims of an interaction-induced mobility edge are biased by severe finite-size effects. The localization length of a pair with zero total energy exhibits a nonmonotonic behavior as a function of the interaction strength, characterized by an exponential enhancement in the weakly interacting regime. Our findings also suggest that the many-body mobility edge of the 2D Anderson-Hubbard model disappears in the zero-density limit, irrespective of the (bosonic or fermionic) quantum statistics of the particles. |
| doi_str_mv | 10.1103/PhysRevB.102.144201 |
| format | Article |
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Based on transmission-amplitude calculations for relatively large strip-shaped grids, we find that all pair states are localized in lattices of infinite size. In particular, we show that previous claims of an interaction-induced mobility edge are biased by severe finite-size effects. The localization length of a pair with zero total energy exhibits a nonmonotonic behavior as a function of the interaction strength, characterized by an exponential enhancement in the weakly interacting regime. Our findings also suggest that the many-body mobility edge of the 2D Anderson-Hubbard model disappears in the zero-density limit, irrespective of the (bosonic or fermionic) quantum statistics of the particles.</description><identifier>ISSN: 2469-9950</identifier><identifier>EISSN: 2469-9969</identifier><identifier>DOI: 10.1103/PhysRevB.102.144201</identifier><language>eng</language><publisher>College Park: American Physical Society</publisher><subject>Anderson localization ; Lattices ; Quantum statistics ; Size effects ; Two dimensional models</subject><ispartof>Physical review. 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| ispartof | Physical review. B, 2020-10, Vol.102 (14), Article 144201 |
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| subjects | Anderson localization Lattices Quantum statistics Size effects Two dimensional models |
| title | Absence of two-body delocalization transitions in the two-dimensional Anderson-Hubbard model |
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