London penetration depth at zero temperature and near the superconducting transition

Kogan, V. G.; Tanatar, M. A.; Prozorov, R.

doi:10.1103/PhysRevB.101.104510

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 $ρ = ℏ v / 2 π T_{c} ℓ$ ( $v$ 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 $T_{c} {(d λ^{- 2} / d T)}_{T_{c}}$ 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:

Kogan, V. G. ^[1]; Tanatar, M. A. ^[2];

^[2]

Ames Lab., Ames, IA (United States)
Ames Lab., Ames, IA (United States); Iowa State Univ., Ames, IA (United States)

Publication Date:: Thu Mar 19 00:00:00 EDT 2020

Research Org.:: Ames Laboratory (AMES), Ames, IA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division

OSTI Identifier:: 1608817

Alternate Identifier(s):: OSTI ID: 1605499

Report Number(s):: IS-J10,189
Journal ID: ISSN 2469-9950; PRBMDO

Grant/Contract Number:: AC02-07CH11358

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: 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; Critical field; Penetration depth; Superconductivity; s-wave; Condensed Matter & Materials Physics

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.  doi:10.1103/PhysRevB.101.104510.

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                    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

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                    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.  https://www.osti.gov/servlets/purl/1608817.

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@article{osti_1608817,

  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         = {Thu Mar 19 00:00:00 EDT 2020},

  month        = {Thu Mar 19 00:00:00 EDT 2020}

}

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

Abstract

Citation Formats

Doping evolution of the absolute value of the London penetration depth and superfluid density in single crystals of Ba ( Fe 1 − x Co x ) 2 As 2 journal, August 2010

Nonlocal electrodynamics and low-temperature magnetization of clean high-κ superconductors journal, November 1996

Theory of Electromagnetic Properties of Superconducting and Normal Systems. I journal, April 1967

Superconducting properties of Rh 9 In 4 S 4 single crystals journal, March 2016

Rutgers relation for the analysis of superfluid density in superconductors journal, June 2013

Unconventional Superconductivity in CeIrI n 5 and CeCoIn 5 : Specific Heat and Thermal Conductivity Studies journal, May 2001

Upper critical field of high-quality single crystals of KFe 2 As 2 journal, April 2013

Orbital upper critical field of type-II superconductors with pair breaking journal, July 2013

Homes scaling and BCS journal, June 2013

Nodal quasiparticle dynamics in the heavy fermion superconductor CeCoIn5 revealed by precision microwave spectroscopy journal, September 2013

Specific heat and upper critical fields in KFe 2 As 2 single crystals journal, April 2012

Superfluid density in gapless superconductor CeCoIn 5 journal, February 2009

Temperature and Purity Dependence of the Superconducting Critical Field, H c 2 . II journal, July 1966

Evidence of Strong Correlations and Coherence-Incoherence Crossover in the Iron Pnictide Superconductor KFe 2 As 2 journal, July 2013

Flux-line lattice state in FeAs-based superconductor KFe 2 As 2 journal, December 2012

Magnesium diboride: basic physical properties and high upper critical field anisotropy journal, October 2002

Critical fields, Pauli paramagnetic limiting, and material parameters of Nb 3 Sn and V 3 Si journal, May 1979

Surface impedance measurements of single crystal MgB 2 films for radiofrequency superconductivity applications journal, July 2012

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

Evolution of London penetration depth with scattering in single crystals of K 1 − x Na x Fe 2 As 2 journal, May 2014

Doping evolution of the absolute value of the London penetration depth and superfluid density in single crystals of $Ba {({Fe}_{1 - x} {Co}_{x})}_{2} {As}_{2}$
journal, August 2010

Nonlocal electrodynamics and low-temperature magnetization of clean high-κ superconductors
journal, November 1996

Theory of Electromagnetic Properties of Superconducting and Normal Systems. I
journal, April 1967

Superconducting properties of ${Rh}_{9} {In}_{4} S_{4}$ single crystals
journal, March 2016

Rutgers relation for the analysis of superfluid density in superconductors
journal, June 2013

Unconventional Superconductivity in $CeIrI n_{5}$ and ${CeCoIn}_{5}$ : Specific Heat and Thermal Conductivity Studies
journal, May 2001

Upper critical field of high-quality single crystals of KFe $_{2}$ As $_{2}$
journal, April 2013

Orbital upper critical field of type-II superconductors with pair breaking
journal, July 2013

Homes scaling and BCS
journal, June 2013

Nodal quasiparticle dynamics in the heavy fermion superconductor CeCoIn5 revealed by precision microwave spectroscopy
journal, September 2013

Specific heat and upper critical fields in KFe $_{2}$ As $_{2}$ single crystals
journal, April 2012

Superfluid density in gapless superconductor CeCoIn ₅
journal, February 2009

Temperature and Purity Dependence of the Superconducting Critical Field, $H_{c 2}$ . II
journal, July 1966

Evidence of Strong Correlations and Coherence-Incoherence Crossover in the Iron Pnictide Superconductor ${KFe}_{2} {As}_{2}$
journal, July 2013

Flux-line lattice state in FeAs-based superconductor KFe ₂ As ₂
journal, December 2012

Magnesium diboride: basic physical properties and high upper critical field anisotropy
journal, October 2002

Critical fields, Pauli paramagnetic limiting, and material parameters of ${Nb}_{3}$ Sn and $V_{3}$ Si
journal, May 1979

Surface impedance measurements of single crystal MgB ₂ films for radiofrequency superconductivity applications
journal, July 2012

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

Evolution of London penetration depth with scattering in single crystals of $K_{1 - x}$ ${Na}_{x}$ ${Fe}_{2}$ ${As}_{2}$
journal, May 2014