Localization Parameters for Two Interacting Particles in Disordered Two-Dimensional Finite Lattices

I study spreading of two interacting hardcore bosons in disordered two-dimensional finite lattices from an initial occupation of two adjacent sites. The parameters related to the spreading of the particles provide an insight on the effect of interaction. I find that the presence of interaction makes the particles less localized than the non-interacting ones within the range of disorder strength <inline-formula> <math display="inline"> <semantics> <mrow> <mi>W</mi> <mo>&#8804;</mo> <mn>4</mn> </mrow> </semantics> </math> </inline-formula> and interaction strength <inline-formula> <math display="inline"> <semantics> <mrow> <mi>V</mi> <mo>&#8804;</mo> <mn>4</mn> </mrow> </semantics> </math> </inline-formula>. If the interaction strength is higher, then particles localize more. A transition with changes in the character of dominant correlations is found at critical disorder strengths for each chosen strength of interaction. The nature of correlations between the particles as nearest neighbours becomes dominant beyond these disorder strengths.

Abstract licence: CC BY

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