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Diana Thongjaomayum
복잡계 이론물리 연구단
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Taming two interacting particles with disorder

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Title
Taming two interacting particles with disorder
Author(s)
Diana Thongjaomayum; Alexei Andreanov; Thomas Engl; Sergej Flach
Publication Date
2019-12
Journal
PHYSICAL REVIEW B, v.100, no.22, pp.224203 -
Publisher
AMER PHYSICAL SOC
Abstract
We compute the scaling properties of the localization length ξ2 of two interacting particles in a one- dimensional chain with diagonal disorder, and the connectivity properties of the Fock states. We analyze record large system sizes (up to N = 20 000) and disorder strengths (down to W = 0.5). We vary the energy E and the on-site interaction strength u. At a given disorder strength, the largest enhancement of ξ2 occurs for u of the order of the single-particle bandwidth and for two-particle states with energies at the center of the spectrum, E = 0. We observe a crossover in the scaling of ξ2 with the single-particle localization length ξ1 into the asymptotic regime for ξ1 > 100 (W < 1.0). This happens due to the recovery of translational invariance and momentum conservation rules in the matrix elements of interconnected Fock eigenstates for u = 0. The entrance into the asymptotic scaling is manifested through a nonlinear scaling function ξ2 /ξ1 = F (uξ1 ). ©2019 American Physical Society
URI
https://pr.ibs.re.kr/handle/8788114/6741
ISSN
2469-9950
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > Journal Papers (저널논문)
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