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

Abstract

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 W ≤ 4 and interaction strength V ≤ 4 . 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.

Item Metadata

Title
Localization Parameters for Two Interacting Particles in Disordered Two-Dimensional Finite Lattices
Creator
Chattaraj, Tirthaprasad
Publisher
Multidisciplinary Digital Publishing Institute
Date Issued
2018-10-30
Description
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 W ≤ 4 and interaction strength V ≤ 4 . 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.
Subject
Interaction; Disordered system; Two dimension; Localization
Genre
Article
Type
Text
Language
eng
Date Available
2019-06-13
Provider
Vancouver : University of British Columbia Library
Rights
CC BY 4.0
DOI
10.14288/1.0379423
URI
http://hdl.handle.net/2429/70631
Affiliation
Science, Faculty of; Chemistry, Department of
Citation
Condensed Matter 3 (4): 38 (2018)
Publisher DOI
10.3390/condmat3040038
Peer Review Status
Reviewed
Scholarly Level
Faculty
Rights URI
https://creativecommons.org/licenses/by/4.0/
Aggregated Source Repository
DSpace

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CC BY 4.0