skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Temperature dependence of London penetration depth anisotropy in superconductors with anisotropic order parameters

Abstract

Here, we study the effects of anisotropic order parameters on the temperature dependence of London penetration depth anisotropy γ λ ( T ) . After MgB 2 , this dependence is commonly attributed to distinct gaps on multiband Fermi surfaces in superconductors. We have found, however, that the anisotropy parameter may depend on temperature also in one-band materials with anisotropic order parameters Δ ( T , k F ) ; a few such examples are given. We have also found that for different order parameters, the temperature dependence of Δ ( T ) / Δ ( 0 ) can be represented with good accuracy by the interpolation suggested by Einzel, which simplifies considerably the evaluation of γ λ ( T ) . Of particular interest are mixed order parameters of two symmetries for which γ λ ( T ) may go through a maximum for a certain relative weight of two phases. Also, for this case we find that the ratio Δ max ( 0 ) / T c may exceed substantially the weak-coupling limit of 1.76. It, however, does not imply strong coupling; rather, it is due to significantly anisotropic angular variation of Δ .

Authors:
ORCiD logo [1]; ORCiD logo [2]
  1. Ames Lab., Ames, IA (United States)
  2. Ames Lab., Ames, IA (United States); Iowa State Univ., Ames, IA (United States)
Publication Date:
Research Org.:
Ames Laboratory (AMES), Ames, IA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
OSTI Identifier:
1769023
Report Number(s):
IS-J-10,421
Journal ID: ISSN 2469-9950; TRN: US2206686
Grant/Contract Number:  
AC02-07CH11358
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review. B
Additional Journal Information:
Journal Volume: 103; Journal Issue: 5; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Kogan, V. G., and Prozorov, R. Temperature dependence of London penetration depth anisotropy in superconductors with anisotropic order parameters. United States: N. p., 2021. Web. doi:10.1103/physrevb.103.054502.
Kogan, V. G., & Prozorov, R. Temperature dependence of London penetration depth anisotropy in superconductors with anisotropic order parameters. United States. https://doi.org/10.1103/physrevb.103.054502
Kogan, V. G., and Prozorov, R. 2021. "Temperature dependence of London penetration depth anisotropy in superconductors with anisotropic order parameters". United States. https://doi.org/10.1103/physrevb.103.054502. https://www.osti.gov/servlets/purl/1769023.
@article{osti_1769023,
title = {Temperature dependence of London penetration depth anisotropy in superconductors with anisotropic order parameters},
author = {Kogan, V. G. and Prozorov, R.},
abstractNote = {Here, we study the effects of anisotropic order parameters on the temperature dependence of London penetration depth anisotropy γλ(T). After MgB2, this dependence is commonly attributed to distinct gaps on multiband Fermi surfaces in superconductors. We have found, however, that the anisotropy parameter may depend on temperature also in one-band materials with anisotropic order parameters Δ(T,kF); a few such examples are given. We have also found that for different order parameters, the temperature dependence of Δ(T)/Δ(0) can be represented with good accuracy by the interpolation suggested by Einzel, which simplifies considerably the evaluation of γλ(T). Of particular interest are mixed order parameters of two symmetries for which γλ(T) may go through a maximum for a certain relative weight of two phases. Also, for this case we find that the ratio Δmax(0)/Tc may exceed substantially the weak-coupling limit of 1.76. It, however, does not imply strong coupling; rather, it is due to significantly anisotropic angular variation of Δ.},
doi = {10.1103/physrevb.103.054502},
url = {https://www.osti.gov/biblio/1769023}, journal = {Physical Review. B},
issn = {2469-9950},
number = 5,
volume = 103,
place = {United States},
year = {Fri Feb 05 00:00:00 EST 2021},
month = {Fri Feb 05 00:00:00 EST 2021}
}

Works referenced in this record:

Superconductivity at 39 K in magnesium diboride
journal, March 2001


Temperature-Dependent Anisotropy of the Penetration Depth and Coherence Length of MgB 2
journal, August 2005


London field penetration in heavy fermion superconductors
journal, June 1991


Transformation of Gorkov's equation for type II superconductors into transport-like equations
journal, April 1968


Transport properties of three-dimensional extended s -wave states in Fe-based superconductors
journal, July 2011


Impurity scattering effect on the specific-heat jump in anisotropic superconductors
journal, May 1997


Anomalous temperature dependence of the magnetic field penetration depth in superconducting UBe13
journal, June 1986


Anisotropic criteria for the type of superconductivity
journal, August 2014


Combined effect of nonmagnetic and magnetic scatterers on the critical temperatures of superconductors with different anisotropies of the gap
journal, November 1997


Effect of Impurities upon Critical Temperature of Anisotropic Superconductors
journal, July 1963


Fermi-Surface Topological Phase Transition and Horizontal Order-Parameter Nodes in CaFe2As2 Under Pressure
journal, May 2016


Macroscopic anisotropy in superconductors with anisotropic gaps
journal, July 2002


Nodal superconducting-gap structure in ferropnictide superconductor BaFe2(As0.7P0.3)2
journal, March 2012


The origin of the anomalous superconducting properties of MgB2
journal, August 2002


Octet-Line Node Structure of Superconducting Order Parameter in KFe2As2
journal, September 2012


London penetration depth in iron-based superconductors
journal, September 2011


Temperature-dependent anisotropies of upper critical field and London penetration depth
journal, July 2019