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Title: London penetration depth at zero temperature and near the superconducting transition

Abstract

Herein, a simple relation is established between the zero- T penetration depth λ ( 0 ) and the slope of λ 2 ( T ) near T c , similar to Helfand-Werthamer's relation for H c 2 ( 0 ) and the slope of H c 2 ( T ) at T c for the isotropic s -wave case with nonmagnetic scattering. When the scattering parameter ρ = v / 2 π T c ( v is the Fermi velocity and is the mean free path) varies from 1 to 10, the coefficient of proportionality between λ 2 ( 0 ) and T c ( d λ 2 / d T ) T c changes from 0.43 to 0.38. Combining this relation with the Rutgers thermodynamic identity, one can express λ ( 0 ) in terms of the slope ( d H c 2 / d T ) T c and the density of states.

Authors:
; ; ORCiD logo
Publication Date:
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
OSTI Identifier:
1605499
Grant/Contract Number:  
AC02-07CH11358
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Name: Physical Review B Journal Volume: 101 Journal Issue: 10; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 36 MATERIALS SCIENCE

Citation Formats

Kogan, V. G., Tanatar, M. A., and Prozorov, R. London penetration depth at zero temperature and near the superconducting transition. United States: N. p., 2020. Web. https://doi.org/10.1103/PhysRevB.101.104510.
Kogan, V. G., Tanatar, M. A., & Prozorov, R. London penetration depth at zero temperature and near the superconducting transition. United States. https://doi.org/10.1103/PhysRevB.101.104510
Kogan, V. G., Tanatar, M. A., and Prozorov, R. Thu . "London penetration depth at zero temperature and near the superconducting transition". United States. https://doi.org/10.1103/PhysRevB.101.104510.
@article{osti_1605499,
title = {London penetration depth at zero temperature and near the superconducting transition},
author = {Kogan, V. G. and Tanatar, M. A. and Prozorov, R.},
abstractNote = {Herein, a simple relation is established between the zero-T penetration depth λ(0) and the slope of λ–2(T) near Tc, similar to Helfand-Werthamer's relation for Hc2(0) and the slope of Hc2(T) at Tc for the isotropic s-wave case with nonmagnetic scattering. When the scattering parameter ρ=ℏv/2πTcℓ (v is the Fermi velocity and ℓ is the mean free path) varies from 1 to 10, the coefficient of proportionality between λ–2(0) and Tc(dλ–2/dT)Tc changes from 0.43 to 0.38. Combining this relation with the Rutgers thermodynamic identity, one can express λ(0) in terms of the slope (dHc2/dT)Tc and the density of states.},
doi = {10.1103/PhysRevB.101.104510},
journal = {Physical Review B},
number = 10,
volume = 101,
place = {United States},
year = {2020},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevB.101.104510

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