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Interacting fermions in 1D disordered lattices: Exploring localization and transport properties with lattice density-functional theories

Vettchinkina, Valeria LU ; Kartsev, Alexey LU ; Karlsson, Daniel LU and Verdozzi, Claudio LU (2013) In Physical Review B (Condensed Matter and Materials Physics) 87(11).
Abstract
We investigate the static and dynamical behavior of 1D interacting fermions in disordered Hubbard chains, contacted to semi-infinite leads. The chains are described via the repulsive Anderson-Hubbard Hamiltonian, using static and time-dependent lattice density-functional theory. The dynamical behavior of our quantum transport system is performed via an integration scheme available in the literature, which we modify via the recursive Lanczos method, to increase its efficiency. To quantify the degree of localization due to disorder and interactions, we adapt the definition of the inverse participation ratio to obtain an indicator which is both suitable for quantum transport geometries and which can be obtained within density-functional... (More)
We investigate the static and dynamical behavior of 1D interacting fermions in disordered Hubbard chains, contacted to semi-infinite leads. The chains are described via the repulsive Anderson-Hubbard Hamiltonian, using static and time-dependent lattice density-functional theory. The dynamical behavior of our quantum transport system is performed via an integration scheme available in the literature, which we modify via the recursive Lanczos method, to increase its efficiency. To quantify the degree of localization due to disorder and interactions, we adapt the definition of the inverse participation ratio to obtain an indicator which is both suitable for quantum transport geometries and which can be obtained within density-functional theory. Lattice density functional theories are reviewed and, for contacted chains, we analyze the merits and limits of the coherent-potential approximation in describing the spectral properties, with interactions included via lattice density functional theory. Our approach appears to able to capture complex features due to the competition between disorder and interactions. Specifically, we find a dynamical enhancement of delocalization in presence of a finite bias, and an increase of the steady-state current induced by inter-particle interactions. This behavior is corroborated by results for the time-dependent densities and for the inverse participation ratio. Using short isolated chains with interaction and disorder, a brief comparative analysis between time-dependent density-functional theory and exact results is then given, followed by general conclusive remarks. (Less)
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organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review B (Condensed Matter and Materials Physics)
volume
87
issue
11
article number
115117
publisher
American Physical Society
external identifiers
  • wos:000316101200004
  • scopus:84875335863
ISSN
1098-0121
DOI
10.1103/PhysRevB.87.115117
language
English
LU publication?
yes
id
5d9f2b08-36c3-446c-b0db-c528461ac649 (old id 2595773)
alternative location
http://arxiv.org/abs/1204.0672
date added to LUP
2016-04-01 13:55:45
date last changed
2020-08-12 04:35:25
@article{5d9f2b08-36c3-446c-b0db-c528461ac649,
  abstract     = {We investigate the static and dynamical behavior of 1D interacting fermions in disordered Hubbard chains, contacted to semi-infinite leads. The chains are described via the repulsive Anderson-Hubbard Hamiltonian, using static and time-dependent lattice density-functional theory. The dynamical behavior of our quantum transport system is performed via an integration scheme available in the literature, which we modify via the recursive Lanczos method, to increase its efficiency. To quantify the degree of localization due to disorder and interactions, we adapt the definition of the inverse participation ratio to obtain an indicator which is both suitable for quantum transport geometries and which can be obtained within density-functional theory. Lattice density functional theories are reviewed and, for contacted chains, we analyze the merits and limits of the coherent-potential approximation in describing the spectral properties, with interactions included via lattice density functional theory. Our approach appears to able to capture complex features due to the competition between disorder and interactions. Specifically, we find a dynamical enhancement of delocalization in presence of a finite bias, and an increase of the steady-state current induced by inter-particle interactions. This behavior is corroborated by results for the time-dependent densities and for the inverse participation ratio. Using short isolated chains with interaction and disorder, a brief comparative analysis between time-dependent density-functional theory and exact results is then given, followed by general conclusive remarks.},
  author       = {Vettchinkina, Valeria and Kartsev, Alexey and Karlsson, Daniel and Verdozzi, Claudio},
  issn         = {1098-0121},
  language     = {eng},
  number       = {11},
  publisher    = {American Physical Society},
  series       = {Physical Review B (Condensed Matter and Materials Physics)},
  title        = {Interacting fermions in 1D disordered lattices: Exploring localization and transport properties with lattice density-functional theories},
  url          = {https://lup.lub.lu.se/search/ws/files/3672422/3737668.pdf},
  doi          = {10.1103/PhysRevB.87.115117},
  volume       = {87},
  year         = {2013},
}