Thermodynamic parameters of Zr superconductor at ω-β structural phase transition

R. Szczȩśniak, A. P. Durajski, D. Szczȩśniak

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In the present study, the thermodynamic parameters of the superconducting state in zirconium at the structural ω-β phase transition (~30 GPa) have been calculated. It has been shown that the jump of the critical temperature (TC) from 4.2 to 11 K corresponds to the jump of the Coulomb pseudopotential from 0.26 to 0.41. Other thermodynamic quantities, such as the order parameter at zero Kelvin (Δ(0)), the specific heat jump (ΔC(TC)), and the thermodynamic critical field (HC(0)) also undergo the abrupt change. The dimensionless parameters: RΔ≡2 Δ(0)/ kB TC, RC≡ ΔC(TC)/ CN(TC) and RH≡ TCCN(TC)/ H2 C(0) are equal to the following: RΔ ε {3.62, 4.27} RC ε {1.63, 2.01}, and RH ε {0.167, 0.139}, respectively. Additionally, the structural phase transition induces the strong variation of the ratio of the electron effective mass to the electron band mass: m* e/ meε{1.84, 2.98}. From the physical point of view, the increasing deviations of the superconducting parameters from the predictions of the BCS theory at the structural ω-β phase transition have tight relation with the corresponding behavior of the electron-phonon coupling.

Original languageEnglish
Pages (from-to)538-544
Number of pages7
JournalPhysica Status Solidi (B) Basic Research
Volume253
Issue number3
DOIs
Publication statusPublished - 1 Mar 2016
Externally publishedYes

Fingerprint

Superconducting materials
Phase transitions
Thermodynamics
thermodynamics
Electrons
Zirconium
BCS theory
Specific heat
electrons
pseudopotentials
critical temperature
specific heat
deviation
predictions
Temperature

Keywords

  • Structural phase transition
  • Thermodynamic properties
  • Zr superconductor

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Thermodynamic parameters of Zr superconductor at ω-β structural phase transition. / Szczȩśniak, R.; Durajski, A. P.; Szczȩśniak, D.

In: Physica Status Solidi (B) Basic Research, Vol. 253, No. 3, 01.03.2016, p. 538-544.

Research output: Contribution to journalArticle

Szczȩśniak, R. ; Durajski, A. P. ; Szczȩśniak, D. / Thermodynamic parameters of Zr superconductor at ω-β structural phase transition. In: Physica Status Solidi (B) Basic Research. 2016 ; Vol. 253, No. 3. pp. 538-544.
@article{86e9f85159cc49c4bf0975ad6c298e33,
title = "Thermodynamic parameters of Zr superconductor at ω-β structural phase transition",
abstract = "In the present study, the thermodynamic parameters of the superconducting state in zirconium at the structural ω-β phase transition (~30 GPa) have been calculated. It has been shown that the jump of the critical temperature (TC) from 4.2 to 11 K corresponds to the jump of the Coulomb pseudopotential from 0.26 to 0.41. Other thermodynamic quantities, such as the order parameter at zero Kelvin (Δ(0)), the specific heat jump (ΔC(TC)), and the thermodynamic critical field (HC(0)) also undergo the abrupt change. The dimensionless parameters: RΔ≡2 Δ(0)/ kB TC, RC≡ ΔC(TC)/ CN(TC) and RH≡ TCCN(TC)/ H2 C(0) are equal to the following: RΔ ε {3.62, 4.27} RC ε {1.63, 2.01}, and RH ε {0.167, 0.139}, respectively. Additionally, the structural phase transition induces the strong variation of the ratio of the electron effective mass to the electron band mass: m* e/ meε{1.84, 2.98}. From the physical point of view, the increasing deviations of the superconducting parameters from the predictions of the BCS theory at the structural ω-β phase transition have tight relation with the corresponding behavior of the electron-phonon coupling.",
keywords = "Structural phase transition, Thermodynamic properties, Zr superconductor",
author = "R. Szczȩśniak and Durajski, {A. P.} and D. Szczȩśniak",
year = "2016",
month = "3",
day = "1",
doi = "10.1002/pssb.201552287",
language = "English",
volume = "253",
pages = "538--544",
journal = "Physica Status Solidi (B): Basic Research",
issn = "0370-1972",
publisher = "Wiley-VCH Verlag",
number = "3",

}

TY - JOUR

T1 - Thermodynamic parameters of Zr superconductor at ω-β structural phase transition

AU - Szczȩśniak, R.

AU - Durajski, A. P.

AU - Szczȩśniak, D.

PY - 2016/3/1

Y1 - 2016/3/1

N2 - In the present study, the thermodynamic parameters of the superconducting state in zirconium at the structural ω-β phase transition (~30 GPa) have been calculated. It has been shown that the jump of the critical temperature (TC) from 4.2 to 11 K corresponds to the jump of the Coulomb pseudopotential from 0.26 to 0.41. Other thermodynamic quantities, such as the order parameter at zero Kelvin (Δ(0)), the specific heat jump (ΔC(TC)), and the thermodynamic critical field (HC(0)) also undergo the abrupt change. The dimensionless parameters: RΔ≡2 Δ(0)/ kB TC, RC≡ ΔC(TC)/ CN(TC) and RH≡ TCCN(TC)/ H2 C(0) are equal to the following: RΔ ε {3.62, 4.27} RC ε {1.63, 2.01}, and RH ε {0.167, 0.139}, respectively. Additionally, the structural phase transition induces the strong variation of the ratio of the electron effective mass to the electron band mass: m* e/ meε{1.84, 2.98}. From the physical point of view, the increasing deviations of the superconducting parameters from the predictions of the BCS theory at the structural ω-β phase transition have tight relation with the corresponding behavior of the electron-phonon coupling.

AB - In the present study, the thermodynamic parameters of the superconducting state in zirconium at the structural ω-β phase transition (~30 GPa) have been calculated. It has been shown that the jump of the critical temperature (TC) from 4.2 to 11 K corresponds to the jump of the Coulomb pseudopotential from 0.26 to 0.41. Other thermodynamic quantities, such as the order parameter at zero Kelvin (Δ(0)), the specific heat jump (ΔC(TC)), and the thermodynamic critical field (HC(0)) also undergo the abrupt change. The dimensionless parameters: RΔ≡2 Δ(0)/ kB TC, RC≡ ΔC(TC)/ CN(TC) and RH≡ TCCN(TC)/ H2 C(0) are equal to the following: RΔ ε {3.62, 4.27} RC ε {1.63, 2.01}, and RH ε {0.167, 0.139}, respectively. Additionally, the structural phase transition induces the strong variation of the ratio of the electron effective mass to the electron band mass: m* e/ meε{1.84, 2.98}. From the physical point of view, the increasing deviations of the superconducting parameters from the predictions of the BCS theory at the structural ω-β phase transition have tight relation with the corresponding behavior of the electron-phonon coupling.

KW - Structural phase transition

KW - Thermodynamic properties

KW - Zr superconductor

UR - http://www.scopus.com/inward/record.url?scp=84959475768&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84959475768&partnerID=8YFLogxK

U2 - 10.1002/pssb.201552287

DO - 10.1002/pssb.201552287

M3 - Article

AN - SCOPUS:84959475768

VL - 253

SP - 538

EP - 544

JO - Physica Status Solidi (B): Basic Research

JF - Physica Status Solidi (B): Basic Research

SN - 0370-1972

IS - 3

ER -