Theory of relativistic effects in superconductors

M. Marques; K. Capelle; E. K.U. Gross

doi:10.1016/S0921-4534(99)00111-2

Theory of relativistic effects in superconductors

M. Marques^*, K. Capelle, E. K.U. Gross

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

4 Scopus citations

Abstract

We develop a relativistic generalization of the Bogoliubov-de Gennes equations where the particle and hole amplitudes are Dirac spinors. In the weakly relativistic limit, we find, besides the usual spin-orbit, Darwin and kinetic energy corrections, additional 'spin-orbit' and 'Darwin' terms. These new terms are present in superconductors only and involve the pairing field in place of the electrostatic potential. They become relevant for superconductors such as the heavy-fermions and high-T_c compounds, which are characterized by a short coherence length and heavy elements in the lattice.

Original language	English
Pages (from-to)	508-510
Number of pages	3
Journal	Physica C: Superconductivity and its Applications
Volume	317-318
DOIs	https://doi.org/10.1016/S0921-4534(99)00111-2
State	Published - May 1999
Externally published	Yes
Event	Proceedings of the 1998 1st Euroconference on Anomalous Complex Superconductors - Crete, Greece Duration: 26 Sep 1998 → 3 Oct 1998

Bibliographical note

Funding Information:
Many helpful discussions with M. Lüders and B.L. Gyorffy are gratefully acknowledged. This work has benefitted from the program `Relativistic effects in heavy-element chemistry and physics' of the European Science Foundation. Partial financial support by the Deutsche Forschungsgemeinschaft is gratefully acknowledged. M.M. would like to thank the portuguese MCT for financial support (PRAXIS XXI BD/9044/96).

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10.1016/S0921-4534(99)00111-2

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title = "Theory of relativistic effects in superconductors",

abstract = "We develop a relativistic generalization of the Bogoliubov-de Gennes equations where the particle and hole amplitudes are Dirac spinors. In the weakly relativistic limit, we find, besides the usual spin-orbit, Darwin and kinetic energy corrections, additional 'spin-orbit' and 'Darwin' terms. These new terms are present in superconductors only and involve the pairing field in place of the electrostatic potential. They become relevant for superconductors such as the heavy-fermions and high-Tc compounds, which are characterized by a short coherence length and heavy elements in the lattice.",

author = "M. Marques and K. Capelle and Gross, {E. K.U.}",

note = "Funding Information: Many helpful discussions with M. L{\"u}ders and B.L. Gyorffy are gratefully acknowledged. This work has benefitted from the program `Relativistic effects in heavy-element chemistry and physics' of the European Science Foundation. Partial financial support by the Deutsche Forschungsgemeinschaft is gratefully acknowledged. M.M. would like to thank the portuguese MCT for financial support (PRAXIS XXI BD/9044/96).; Proceedings of the 1998 1st Euroconference on Anomalous Complex Superconductors ; Conference date: 26-09-1998 Through 03-10-1998",

year = "1999",

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doi = "10.1016/S0921-4534(99)00111-2",

language = "אנגלית",

volume = "317-318",

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journal = "Physica C: Superconductivity and its Applications",

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AU - Marques, M.

AU - Capelle, K.

AU - Gross, E. K.U.

N1 - Funding Information: Many helpful discussions with M. Lüders and B.L. Gyorffy are gratefully acknowledged. This work has benefitted from the program `Relativistic effects in heavy-element chemistry and physics' of the European Science Foundation. Partial financial support by the Deutsche Forschungsgemeinschaft is gratefully acknowledged. M.M. would like to thank the portuguese MCT for financial support (PRAXIS XXI BD/9044/96).

PY - 1999/5

Y1 - 1999/5

N2 - We develop a relativistic generalization of the Bogoliubov-de Gennes equations where the particle and hole amplitudes are Dirac spinors. In the weakly relativistic limit, we find, besides the usual spin-orbit, Darwin and kinetic energy corrections, additional 'spin-orbit' and 'Darwin' terms. These new terms are present in superconductors only and involve the pairing field in place of the electrostatic potential. They become relevant for superconductors such as the heavy-fermions and high-Tc compounds, which are characterized by a short coherence length and heavy elements in the lattice.

AB - We develop a relativistic generalization of the Bogoliubov-de Gennes equations where the particle and hole amplitudes are Dirac spinors. In the weakly relativistic limit, we find, besides the usual spin-orbit, Darwin and kinetic energy corrections, additional 'spin-orbit' and 'Darwin' terms. These new terms are present in superconductors only and involve the pairing field in place of the electrostatic potential. They become relevant for superconductors such as the heavy-fermions and high-Tc compounds, which are characterized by a short coherence length and heavy elements in the lattice.

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VL - 317-318

SP - 508

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JO - Physica C: Superconductivity and its Applications

JF - Physica C: Superconductivity and its Applications

T2 - Proceedings of the 1998 1st Euroconference on Anomalous Complex Superconductors

Y2 - 26 September 1998 through 3 October 1998

ER -

Theory of relativistic effects in superconductors

Abstract

Bibliographical note

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