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Title: Locking of length scales in two-band superconductors

Here, a model of a clean two-band s-wave superconductor with cylindrical Fermi surfaces, different Fermi velocities v 1,2, and a general 2×2 coupling matrix V αβ is used to study the order parameter distribution in vortex lattices. The Eilenberger weak coupling formalism is used to calculate numerically the spatial distributions of the pairing amplitudes Δ 1 and Δ 2 of the two bands for vortices parallel to the Fermi cylinders. For generic values of the interband coupling V 12, it is shown that, independently of the couplings V αβ, of the ratio v 1/v 2, of the temperature, and the applied field, the length scales of spatial variation of Δ 1 and of Δ 2 are the same within the accuracy of our calculations. The only exception from this single length-scale behavior is found for V 12 << V 11, i.e., for nearly decoupled bands.
Authors:
 [1] ;  [2] ;  [3]
  1. Okayama Univ., Okayama (Japan)
  2. Ames Lab. and Iowa State Univ., Ames, IA (United States)
  3. Karlsruher Institut fur Technologie, Karlsruhe (Germany)
Publication Date:
Report Number(s):
IS-J-9320
Journal ID: ISSN 2469-9950; PRBMDO; TRN: US1702608
Grant/Contract Number:
AC02-07CH11358
Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 95; Journal Issue: 6; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Research Org:
Ames Laboratory (AMES), Ames, IA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
OSTI Identifier:
1355899
Alternate Identifier(s):
OSTI ID: 1344591

Ichioka, M., Kogan, Vladimir G., and Schmalian, J.. Locking of length scales in two-band superconductors. United States: N. p., Web. doi:10.1103/PhysRevB.95.064512.
Ichioka, M., Kogan, Vladimir G., & Schmalian, J.. Locking of length scales in two-band superconductors. United States. doi:10.1103/PhysRevB.95.064512.
Ichioka, M., Kogan, Vladimir G., and Schmalian, J.. 2017. "Locking of length scales in two-band superconductors". United States. doi:10.1103/PhysRevB.95.064512. https://www.osti.gov/servlets/purl/1355899.
@article{osti_1355899,
title = {Locking of length scales in two-band superconductors},
author = {Ichioka, M. and Kogan, Vladimir G. and Schmalian, J.},
abstractNote = {Here, a model of a clean two-band s-wave superconductor with cylindrical Fermi surfaces, different Fermi velocities v1,2, and a general 2×2 coupling matrix Vαβ is used to study the order parameter distribution in vortex lattices. The Eilenberger weak coupling formalism is used to calculate numerically the spatial distributions of the pairing amplitudes Δ1 and Δ2 of the two bands for vortices parallel to the Fermi cylinders. For generic values of the interband coupling V12, it is shown that, independently of the couplings Vαβ, of the ratio v1/v2, of the temperature, and the applied field, the length scales of spatial variation of Δ1 and of Δ2 are the same within the accuracy of our calculations. The only exception from this single length-scale behavior is found for V12 << V11, i.e., for nearly decoupled bands.},
doi = {10.1103/PhysRevB.95.064512},
journal = {Physical Review B},
number = 6,
volume = 95,
place = {United States},
year = {2017},
month = {2}
}