Perturbation theory for an Anderson quantum dot asymmetrically attached to two superconducting leads
Result description
Self-consistent perturbation expansion up to the second order in the interaction strength is used to study a single-level quantum dot with local Coulomb repulsion attached asymmetrically to two generally different superconducting leads. At zero temperature and a wide range of other parameters, the spin-symmetric version of the expansion yields excellent results for the position of the zeropi impurity quantum phase transition boundary and Josephson current together with the energy of Andreev bound states in the 0 phase as confirmed by numerical calculations using the numerical renormalization group method. We analytically prove that the method is charge conserving as well as thermodynamically consistent. Explicit formulas for the position of the zero-pi phase boundary are presented for the Hartree-Fock approximation as well as for its variant called generalized atomic limit.
Keywords
numerical renormalization-groupcarbon nanotubesjosephson-junctionphase-transitionimpurity
The result's identifiers
Result code in IS VaVaI
Alternative codes found
RIV/00216208:11320/16:10321714
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Perturbation theory for an Anderson quantum dot asymmetrically attached to two superconducting leads
Original language description
Self-consistent perturbation expansion up to the second order in the interaction strength is used to study a single-level quantum dot with local Coulomb repulsion attached asymmetrically to two generally different superconducting leads. At zero temperature and a wide range of other parameters, the spin-symmetric version of the expansion yields excellent results for the position of the zeropi impurity quantum phase transition boundary and Josephson current together with the energy of Andreev bound states in the 0 phase as confirmed by numerical calculations using the numerical renormalization group method. We analytically prove that the method is charge conserving as well as thermodynamically consistent. Explicit formulas for the position of the zero-pi phase boundary are presented for the Hartree-Fock approximation as well as for its variant called generalized atomic limit.
Czech name
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Czech description
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Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BM - Solid-state physics and magnetism
OECD FORD branch
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Result continuities
Project
GJ15-08740Y: Spin current generation on a femtosecond timescale
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review B
ISSN
2469-9950
e-ISSN
—
Volume of the periodical
93
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
18
Pages from-to
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UT code for WoS article
000369219600003
EID of the result in the Scopus database
2-s2.0-85000402242
Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BM - Solid-state physics and magnetism
Year of implementation
2016