Open Access
New Journal of Physics, volume 17, issue 8, pages 83037
General boundary conditions for quasiclassical theory of superconductivity in the diffusive limit: Application to strongly spin-polarized systems
Publication type: Journal Article
Publication date: 2015-08-18
Journal:
New Journal of Physics
Quartile SCImago
Q1
Quartile WOS
Q2
Impact factor: 3.3
ISSN: 13672630
General Physics and Astronomy
Abstract
Boundary conditions in quasiclassical theory of superconductivity are of crucial importance for describing proximity effects in heterostructures between different materials. Although they have been derived for the ballistic case in full generality, corresponding boundary conditions for the diffusive limit, described by Usadel theory, have been lacking for interfaces involving strongly spin-polarized materials, such as e.g. half-metallic ferromagnets. Given the current intense research in the emerging field of superconducting spintronics, the formulation of appropriate boundary conditions for the Usadel theory of diffusive superconductors in contact with strongly spin-polarized ferromagnets for arbitrary transmission probability and arbitrary spin-dependent interface scattering phases has been a burning open question. Here we close this gap and derive the full boundary conditions for quasiclassical Green functions in the diffusive limit, valid for any value of spin polarization, transmission probability, and spin mixing angles (spin-dependent scattering phase shifts). It allows also for complex spin textures across the interface and for channel off-diagonal scattering (a necessary ingredient when the numbers of channels on the two sides of the interface differ). As an example we derive expressions for the proximity effect in diffusive systems involving half-metallic ferromagnets. In a superconductor/half-metal/superconductor Josephson junction we find $\phi_0$ junction behavior under certain interface conditions.
Top-30
Citations by journals
|
5
10
15
20
25
30
35
40
45
50
|
|
|
Physical Review B
49 publications, 49.49%
|
|
|
Scientific Reports
7 publications, 7.07%
|
|
|
Physics of Metals and Metallography
5 publications, 5.05%
|
|
|
Physical Review Letters
4 publications, 4.04%
|
|
|
JETP Letters
3 publications, 3.03%
|
|
|
Beilstein Journal of Nanotechnology
3 publications, 3.03%
|
|
|
New Journal of Physics
2 publications, 2.02%
|
|
|
Reviews of Modern Physics
2 publications, 2.02%
|
|
|
Physical Review Research
2 publications, 2.02%
|
|
|
Uspekhi Fizicheskih Nauk
2 publications, 2.02%
|
|
|
Superconductor Science and Technology
2 publications, 2.02%
|
|
|
Физика металлов и металловедение
2 publications, 2.02%
|
|
|
Communications Materials
1 publication, 1.01%
|
|
|
Applied Physics Letters
1 publication, 1.01%
|
|
|
Physical Review Materials
1 publication, 1.01%
|
|
|
Physics-Uspekhi
1 publication, 1.01%
|
|
|
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
1 publication, 1.01%
|
|
|
Journal of the Physical Society of Japan
1 publication, 1.01%
|
|
|
Crystals
1 publication, 1.01%
|
|
|
Nature Communications
1 publication, 1.01%
|
|
|
Reports on Progress in Physics
1 publication, 1.01%
|
|
|
Journal of Physics Condensed Matter
1 publication, 1.01%
|
|
|
Progress in Surface Science
1 publication, 1.01%
|
|
|
Journal of Magnetism and Magnetic Materials
1 publication, 1.01%
|
|
|
Contributions to Plasma Physics
1 publication, 1.01%
|
|
|
SciPost Physics
1 publication, 1.01%
|
|
|
Journal of Low Temperature Physics
1 publication, 1.01%
|
|
|
Mesoscience and Nanotechnology
1 publication, 1.01%
|
|
|
5
10
15
20
25
30
35
40
45
50
|
Citations by publishers
|
10
20
30
40
50
60
|
|
|
American Physical Society (APS)
58 publications, 58.59%
|
|
|
Pleiades Publishing
10 publications, 10.1%
|
|
|
Springer Nature
10 publications, 10.1%
|
|
|
IOP Publishing
6 publications, 6.06%
|
|
|
Beilstein-Institut
3 publications, 3.03%
|
|
|
Uspekhi Fizicheskikh Nauk Journal
3 publications, 3.03%
|
|
|
Elsevier
2 publications, 2.02%
|
|
|
American Institute of Physics (AIP)
1 publication, 1.01%
|
|
|
The Royal Society
1 publication, 1.01%
|
|
|
Physical Society of Japan
1 publication, 1.01%
|
|
|
Multidisciplinary Digital Publishing Institute (MDPI)
1 publication, 1.01%
|
|
|
Wiley
1 publication, 1.01%
|
|
|
Stichting SciPost
1 publication, 1.01%
|
|
|
Treatise
1 publication, 1.01%
|
|
|
10
20
30
40
50
60
|
- We do not take into account publications without a DOI.
- Statistics recalculated only for publications connected to researchers, organizations and labs registered on the platform.
- Statistics recalculated weekly.
{"yearsCitations":{"type":"bar","data":{"show":true,"labels":[2015,2016,2017,2018,2019,2020,2021,2022,2023,2024],"ids":[0,0,0,0,0,0,0,0,0,0],"codes":[0,0,0,0,0,0,0,0,0,0],"imageUrls":["","","","","","","","","",""],"datasets":[{"label":"Citations number","data":[4,8,15,13,11,7,13,10,13,5],"backgroundColor":["#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6"],"percentage":["4.04","8.08","15.15","13.13","11.11","7.07","13.13","10.1","13.13","5.05"],"barThickness":null}]},"options":{"indexAxis":"x","maintainAspectRatio":true,"scales":{"y":{"ticks":{"precision":0,"autoSkip":false,"font":{"family":"Montserrat"},"color":"#000000"},"stacked":false},"x":{"ticks":{"stepSize":1,"precision":0,"font":{"family":"Montserrat"},"color":"#000000"},"stacked":false}},"plugins":{"legend":{"position":"top","labels":{"font":{"family":"Montserrat"},"color":"#000000"}},"title":{"display":true,"text":"Citations per year","font":{"size":24,"family":"Montserrat","weight":600},"color":"#000000"}}}},"journals":{"type":"bar","data":{"show":true,"labels":["Physical Review B","Scientific Reports","Physics of Metals and Metallography","Physical Review Letters","JETP Letters","Beilstein Journal of Nanotechnology","New Journal of Physics","Reviews of Modern Physics","Physical Review Research","Uspekhi Fizicheskih Nauk","Superconductor Science and Technology","\u0424\u0438\u0437\u0438\u043a\u0430 \u043c\u0435\u0442\u0430\u043b\u043b\u043e\u0432 \u0438 \u043c\u0435\u0442\u0430\u043b\u043b\u043e\u0432\u0435\u0434\u0435\u043d\u0438\u0435","Communications Materials","Applied Physics Letters","Physical Review Materials","Physics-Uspekhi","Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences","Journal of the Physical Society of Japan","Crystals","Nature Communications","Reports on Progress in Physics","Journal of Physics Condensed Matter","Progress in Surface Science","Journal of Magnetism and Magnetic Materials","Contributions to Plasma Physics","SciPost Physics","Journal of Low Temperature Physics","Mesoscience and Nanotechnology"],"ids":[25280,13767,18298,4343,5735,24250,431,7721,26813,25355,5941,28355,26934,4202,7673,10345,22572,22293,15823,3231,9609,4579,11585,10938,16830,26743,19063,95021],"codes":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"imageUrls":["\/storage\/images\/resized\/nrK64iXHTzj43wMrfN1ZoUQ0vanswGzWPN45K3jA_medium.webp","\/storage\/images\/resized\/voXLqlsvTwv5p3iMQ8Dhs95nqB4AXOG7Taj7G4ra_medium.webp","\/storage\/images\/resized\/oZgeErrVFhuDksyqFURLvYS1wtVSBWczh001igGo_medium.webp","\/storage\/images\/resized\/nrK64iXHTzj43wMrfN1ZoUQ0vanswGzWPN45K3jA_medium.webp","\/storage\/images\/resized\/oZgeErrVFhuDksyqFURLvYS1wtVSBWczh001igGo_medium.webp","\/storage\/images\/resized\/ex6KJoZujZOZFZh7jGfeHauiftuB3CI7iwJVFRDg_medium.webp","\/storage\/images\/resized\/LsKy6OnmmmRGcAU6CZgWQvNiP1polbaSLNrN7zqj_medium.webp","\/storage\/images\/resized\/nrK64iXHTzj43wMrfN1ZoUQ0vanswGzWPN45K3jA_medium.webp","\/storage\/images\/resized\/nrK64iXHTzj43wMrfN1ZoUQ0vanswGzWPN45K3jA_medium.webp","\/storage\/images\/resized\/FwiqB0ziXtO1uDSVpBYJ2sLrjRF4fgUy0rywXJa7_medium.webp","\/storage\/images\/resized\/LsKy6OnmmmRGcAU6CZgWQvNiP1polbaSLNrN7zqj_medium.webp","\/storage\/images\/resized\/oZgeErrVFhuDksyqFURLvYS1wtVSBWczh001igGo_medium.webp","\/storage\/images\/resized\/voXLqlsvTwv5p3iMQ8Dhs95nqB4AXOG7Taj7G4ra_medium.webp","\/storage\/images\/resized\/ARM4e6URKRsbRZvIF0vFis9DjxGloBjnBYJXbHmZ_medium.webp","\/storage\/images\/resized\/nrK64iXHTzj43wMrfN1ZoUQ0vanswGzWPN45K3jA_medium.webp","\/storage\/images\/resized\/FwiqB0ziXtO1uDSVpBYJ2sLrjRF4fgUy0rywXJa7_medium.webp","\/storage\/images\/resized\/BHBStD1OkQqtKFRRjS5njgNe7bXCAEgaDQVK7GTA_medium.webp","\/storage\/images\/resized\/7MOa0u0KYFOi3YGCBSKK6LlpUlTzW66O9Mu1nbvH_medium.webp","\/storage\/images\/resized\/MjH1ITP7lMYGxeqUZfkt2BnVLgjkk413jwBV97XX_medium.webp","\/storage\/images\/resized\/voXLqlsvTwv5p3iMQ8Dhs95nqB4AXOG7Taj7G4ra_medium.webp","\/storage\/images\/resized\/LsKy6OnmmmRGcAU6CZgWQvNiP1polbaSLNrN7zqj_medium.webp","\/storage\/images\/resized\/LsKy6OnmmmRGcAU6CZgWQvNiP1polbaSLNrN7zqj_medium.webp","\/storage\/images\/resized\/GDnYOu1UpMMfMMRV6Aqle4H0YLLsraeD9IP9qScG_medium.webp","\/storage\/images\/resized\/GDnYOu1UpMMfMMRV6Aqle4H0YLLsraeD9IP9qScG_medium.webp","\/storage\/images\/resized\/bRyGpdm98BkAUYiK1YFNpl5Z7hPu6Gd87gbIeuG3_medium.webp","","\/storage\/images\/resized\/voXLqlsvTwv5p3iMQ8Dhs95nqB4AXOG7Taj7G4ra_medium.webp","\/storage\/images\/resized\/RDjCyK0EeGcvCADZmTYNc7or5CHxiTVyZYNcCYMw_medium.webp"],"datasets":[{"label":"","data":[49,7,5,4,3,3,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"backgroundColor":["#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6"],"percentage":[49.49,7.07,5.05,4.04,3.03,3.03,2.02,2.02,2.02,2.02,2.02,2.02,1.01,1.01,1.01,1.01,1.01,1.01,1.01,1.01,1.01,1.01,1.01,1.01,1.01,1.01,1.01,1.01],"barThickness":13}]},"options":{"indexAxis":"y","maintainAspectRatio":false,"scales":{"y":{"ticks":{"precision":0,"autoSkip":false,"font":{"family":"Montserrat"},"color":"#000000"},"stacked":false},"x":{"ticks":{"stepSize":null,"precision":0,"font":{"family":"Montserrat"},"color":"#000000"},"stacked":false}},"plugins":{"legend":{"position":"top","labels":{"font":{"family":"Montserrat"},"color":"#000000"}},"title":{"display":true,"text":"Journals","font":{"size":24,"family":"Montserrat","weight":600},"color":"#000000"}}}},"publishers":{"type":"bar","data":{"show":true,"labels":["American Physical Society (APS)","Pleiades Publishing","Springer Nature","IOP Publishing","Beilstein-Institut","Uspekhi Fizicheskikh Nauk Journal","Elsevier","American Institute of Physics (AIP)","The Royal Society","Physical Society of Japan","Multidisciplinary Digital Publishing Institute (MDPI)","Wiley","Stichting SciPost","Treatise"],"ids":[1539,101,8,2075,6139,6903,17,250,259,7495,202,11,7152,19947],"codes":[0,0,0,0,0,0,0,0,0,0,0,0,0,0],"imageUrls":["\/storage\/images\/resized\/nrK64iXHTzj43wMrfN1ZoUQ0vanswGzWPN45K3jA_medium.webp","\/storage\/images\/resized\/oZgeErrVFhuDksyqFURLvYS1wtVSBWczh001igGo_medium.webp","\/storage\/images\/resized\/voXLqlsvTwv5p3iMQ8Dhs95nqB4AXOG7Taj7G4ra_medium.webp","\/storage\/images\/resized\/LsKy6OnmmmRGcAU6CZgWQvNiP1polbaSLNrN7zqj_medium.webp","\/storage\/images\/resized\/ex6KJoZujZOZFZh7jGfeHauiftuB3CI7iwJVFRDg_medium.webp","\/storage\/images\/resized\/FwiqB0ziXtO1uDSVpBYJ2sLrjRF4fgUy0rywXJa7_medium.webp","\/storage\/images\/resized\/GDnYOu1UpMMfMMRV6Aqle4H0YLLsraeD9IP9qScG_medium.webp","\/storage\/images\/resized\/ARM4e6URKRsbRZvIF0vFis9DjxGloBjnBYJXbHmZ_medium.webp","\/storage\/images\/resized\/BHBStD1OkQqtKFRRjS5njgNe7bXCAEgaDQVK7GTA_medium.webp","\/storage\/images\/resized\/7MOa0u0KYFOi3YGCBSKK6LlpUlTzW66O9Mu1nbvH_medium.webp","\/storage\/images\/resized\/MjH1ITP7lMYGxeqUZfkt2BnVLgjkk413jwBV97XX_medium.webp","\/storage\/images\/resized\/bRyGpdm98BkAUYiK1YFNpl5Z7hPu6Gd87gbIeuG3_medium.webp","","\/storage\/images\/resized\/RDjCyK0EeGcvCADZmTYNc7or5CHxiTVyZYNcCYMw_medium.webp"],"datasets":[{"label":"","data":[58,10,10,6,3,3,2,1,1,1,1,1,1,1],"backgroundColor":["#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6","#3B82F6"],"percentage":[58.59,10.1,10.1,6.06,3.03,3.03,2.02,1.01,1.01,1.01,1.01,1.01,1.01,1.01],"barThickness":13}]},"options":{"indexAxis":"y","maintainAspectRatio":false,"scales":{"y":{"ticks":{"precision":0,"autoSkip":false,"font":{"family":"Montserrat"},"color":"#000000"},"stacked":false},"x":{"ticks":{"stepSize":null,"precision":0,"font":{"family":"Montserrat"},"color":"#000000"},"stacked":false}},"plugins":{"legend":{"position":"top","labels":{"font":{"family":"Montserrat"},"color":"#000000"}},"title":{"display":true,"text":"Publishers","font":{"size":24,"family":"Montserrat","weight":600},"color":"#000000"}}}},"yearsCitationsQuartiles":{"type":"bar","data":{"show":true,"labels":[2015,2016,2017,2018,2019,2020,2021,2022,2023,2024],"ids":[],"codes":[],"imageUrls":[],"datasets":[{"label":"Q4","backgroundColor":"rgb(221,90,78)","data":[0,0,0,0,0,0,0,0,0,0],"percentage":["0","0","0","0","0","0","0","0","0","0"]},{"label":"Q3","backgroundColor":"rgb(251, 163,83)","data":[0,0,0,0,0,2,1,0,2,1],"percentage":["0","0","0","0","0","2.02","1.01","0","2.02","1.01"]},{"label":"Q2","backgroundColor":"rgb(232, 213, 89)","data":[0,0,1,4,1,0,0,3,2,1],"percentage":["0","0","1.01","4.04","1.01","0","0","3.03","2.02","1.01"]},{"label":"Q1","backgroundColor":"rgb(164, 207, 99)","data":[4,8,14,9,10,4,11,7,7,2],"percentage":["4.04","8.08","14.14","9.09","10.1","4.04","11.11","7.07","7.07","2.02"]},{"label":"Quartile not defined","backgroundColor":"#E5E7EB","data":[0,0,0,0,0,1,1,0,2,1],"percentage":["0","0","0","0","0","1.01","1.01","0","2.02","1.01"]}]},"options":{"indexAxis":"x","maintainAspectRatio":true,"scales":{"y":{"ticks":{"precision":0,"autoSkip":false,"font":{"family":"Montserrat"},"color":"#000000"},"stacked":true},"x":{"ticks":{"stepSize":1,"precision":0,"font":{"family":"Montserrat"},"color":"#000000"},"stacked":true}},"plugins":{"legend":{"position":"top","labels":{"font":{"family":"Montserrat"},"color":"#000000"}},"title":{"display":true,"text":"Citations quartiles by SCImago per year","font":{"size":24,"family":"Montserrat","weight":600},"color":"#000000"}}}},"yearsCitationsQuartilesWs":{"type":"bar","data":{"show":true,"labels":[2015,2016,2017,2018,2019,2020,2021,2022,2023,2024],"ids":[],"codes":[],"imageUrls":[],"datasets":[{"label":"Q4","backgroundColor":"rgb(221,90,78)","data":[0,0,1,1,1,0,0,0,0,0],"percentage":["0","0","1.01","1.01","1.01","0","0","0","0","0"]},{"label":"Q3","backgroundColor":"rgb(251, 163,83)","data":[0,0,0,2,0,2,2,0,3,2],"percentage":["0","0","0","2.02","0","2.02","2.02","0","3.03","2.02"]},{"label":"Q2","backgroundColor":"rgb(232, 213, 89)","data":[3,8,14,7,8,3,8,8,7,1],"percentage":["3.03","8.08","14.14","7.07","8.08","3.03","8.08","8.08","7.07","1.01"]},{"label":"Q1","backgroundColor":"rgb(164, 207, 99)","data":[1,0,0,3,2,0,1,1,1,1],"percentage":["1.01","0","0","3.03","2.02","0","1.01","1.01","1.01","1.01"]},{"label":"Quartile not defined","backgroundColor":"#E5E7EB","data":[0,0,0,0,0,2,2,1,2,1],"percentage":["0","0","0","0","0","2.02","2.02","1.01","2.02","1.01"]}]},"options":{"indexAxis":"x","maintainAspectRatio":true,"scales":{"y":{"ticks":{"precision":0,"autoSkip":false,"font":{"family":"Montserrat"},"color":"#000000"},"stacked":true},"x":{"ticks":{"stepSize":1,"precision":0,"font":{"family":"Montserrat"},"color":"#000000"},"stacked":true}},"plugins":{"legend":{"position":"top","labels":{"font":{"family":"Montserrat"},"color":"#000000"}},"title":{"display":true,"text":"Citations quartiles by WoS per year","font":{"size":24,"family":"Montserrat","weight":600},"color":"#000000"}}}}}
Are you a researcher?
Create a profile to get free access to personal recommendations for colleagues and new articles.
Metrics
Cite this
GOST |
RIS |
BibTex |
MLA
Cite this
GOST
Copy
Eschrig M. et al. General boundary conditions for quasiclassical theory of superconductivity in the diffusive limit: Application to strongly spin-polarized systems // New Journal of Physics. 2015. Vol. 17. No. 8. p. 83037.
GOST all authors (up to 50)
Copy
Eschrig M., Cottet A., Belzig W., Linder J. General boundary conditions for quasiclassical theory of superconductivity in the diffusive limit: Application to strongly spin-polarized systems // New Journal of Physics. 2015. Vol. 17. No. 8. p. 83037.
Cite this
RIS
Copy
TY - JOUR
DO - 10.1088/1367-2630/17/8/083037
UR - https://doi.org/10.1088/1367-2630/17/8/083037
TI - General boundary conditions for quasiclassical theory of superconductivity in the diffusive limit: Application to strongly spin-polarized systems
T2 - New Journal of Physics
AU - Eschrig, M.
AU - Cottet, A.
AU - Belzig, W.
AU - Linder, Jacob
PY - 2015
DA - 2015/08/18
PB - IOP Publishing
SP - 83037
IS - 8
VL - 17
SN - 1367-2630
ER -
Cite this
BibTex
Copy
@article{2015_Eschrig,
author = {M. Eschrig and A. Cottet and W. Belzig and Jacob Linder},
title = {General boundary conditions for quasiclassical theory of superconductivity in the diffusive limit: Application to strongly spin-polarized systems},
journal = {New Journal of Physics},
year = {2015},
volume = {17},
publisher = {IOP Publishing},
month = {aug},
url = {https://doi.org/10.1088/1367-2630/17/8/083037},
number = {8},
pages = {83037},
doi = {10.1088/1367-2630/17/8/083037}
}
Cite this
MLA
Copy
Eschrig, M., et al. “General boundary conditions for quasiclassical theory of superconductivity in the diffusive limit: Application to strongly spin-polarized systems.” New Journal of Physics, vol. 17, no. 8, Aug. 2015, p. 83037. https://doi.org/10.1088/1367-2630/17/8/083037.
Profiles