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Journal Article

Electrostatic potential in a superconductor

MPS-Authors
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Morawetz,  K.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Brandt,  E. H.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Lipavský, P., Koláček, J., Morawetz, K., & Brandt, E. H. (2002). Electrostatic potential in a superconductor. Physical Review B, 65(14): 144511. Retrieved from http://ojps.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRBMDO000065000014144511000001&idtype=cvips&gifs=yes&jsessionid=3277441055243950037.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002B-37B6-8
Abstract
The electrostatic potential in a superconductor is studied. To this end Bardeen's extension of the Ginzburg-Landau theory to low temperatures is used to derive three Ginzburg-Landau equations-the Maxwell equation for the vector potential, the Schrodinger equation for the wave function, and the Poisson equation for the electrostatic potential. The electrostatic and the thermodynamic potential compensate each other to a great extent resulting into an effective potential acting on the superconducting condensate. For the Abrikosov vortex lattice in niobium, numerical solutions are presented and the different contributions to the electrostatic potential and the related charge distribution are discussed.