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Quantum interference in transport through almost symmetric double quantum dots

Li, Zeng Zhao LU and Leijnse, Martin LU (2019) In Physical Review B 99(12).
Abstract

We theoretically investigate transport signatures of quantum interference in highly symmetric double quantum dots in a parallel geometry and demonstrate that extremely weak symmetry-breaking effects can have a dramatic influence on the current. Our calculations are based on a master equation in which quantum interference enters as nondiagonal elements of the density matrix of the double quantum dots. We also show that many results have a physically intuitive meaning when recasting our equations as Bloch-like equations for a pseudospin associated with the dot occupation. In the perfectly symmetric configuration with equal tunnel couplings and orbital energies of both dots, there is no unique stationary-state density matrix.... (More)

We theoretically investigate transport signatures of quantum interference in highly symmetric double quantum dots in a parallel geometry and demonstrate that extremely weak symmetry-breaking effects can have a dramatic influence on the current. Our calculations are based on a master equation in which quantum interference enters as nondiagonal elements of the density matrix of the double quantum dots. We also show that many results have a physically intuitive meaning when recasting our equations as Bloch-like equations for a pseudospin associated with the dot occupation. In the perfectly symmetric configuration with equal tunnel couplings and orbital energies of both dots, there is no unique stationary-state density matrix. Interestingly, however, adding arbitrarily small symmetry-breaking terms to the tunnel couplings or orbital energies stabilizes a stationary state either with or without quantum interference, depending on the competition between these two perturbations. The different solutions can correspond to very different current levels. Therefore, if the orbital energies and/or tunnel couplings are controlled by, e.g., electrostatic gating, the double quantum dot can act as an exceptionally sensitive electric switch.

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Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review B
volume
99
issue
12
article number
125406
publisher
American Physical Society
external identifiers
  • scopus:85062717443
ISSN
2469-9950
DOI
10.1103/PhysRevB.99.125406
language
English
LU publication?
yes
id
9b4615f3-26c1-4134-aa54-bd6881ca05c3
date added to LUP
2019-03-19 13:00:28
date last changed
2025-04-04 15:18:00
@article{9b4615f3-26c1-4134-aa54-bd6881ca05c3,
  abstract     = {{<p>We theoretically investigate transport signatures of quantum interference in highly symmetric double quantum dots in a parallel geometry and demonstrate that extremely weak symmetry-breaking effects can have a dramatic influence on the current. Our calculations are based on a master equation in which quantum interference enters as nondiagonal elements of the density matrix of the double quantum dots. We also show that many results have a physically intuitive meaning when recasting our equations as Bloch-like equations for a pseudospin associated with the dot occupation. In the perfectly symmetric configuration with equal tunnel couplings and orbital energies of both dots, there is no unique stationary-state density matrix. Interestingly, however, adding arbitrarily small symmetry-breaking terms to the tunnel couplings or orbital energies stabilizes a stationary state either with or without quantum interference, depending on the competition between these two perturbations. The different solutions can correspond to very different current levels. Therefore, if the orbital energies and/or tunnel couplings are controlled by, e.g., electrostatic gating, the double quantum dot can act as an exceptionally sensitive electric switch.</p>}},
  author       = {{Li, Zeng Zhao and Leijnse, Martin}},
  issn         = {{2469-9950}},
  language     = {{eng}},
  number       = {{12}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review B}},
  title        = {{Quantum interference in transport through almost symmetric double quantum dots}},
  url          = {{http://dx.doi.org/10.1103/PhysRevB.99.125406}},
  doi          = {{10.1103/PhysRevB.99.125406}},
  volume       = {{99}},
  year         = {{2019}},
}