Towards a Microscopic Theory of the Knight Shift in an Anisotropic, Multiband Type-II Superconductor
Department of Physics, 4111 Libra Drive, University of Central FLlorida, Orlando, FL 32816-2385, USA
Received: 24 November 2017 / Revised: 26 December 2017 / Accepted: 4 January 2018 / Published: 29 January 2018
PDF [420 KB, uploaded 29 January 2018]
A method is proposed to extend the zero-temperature Hall-Klemm microscopic theory of the Knight shift K
in an anisotropic and correlated, multi-band metal to calculate
at finite temperatures T
both above and into its superconducting state. The transverse part of the magnetic induction
causes adiabatic changes suitable for treatment with the Keldysh contour formalism and analytic continuation onto the real axis. We propose that the Keldysh-modified version of the Gor’kov method can be used to evaluate
both in the normal state, and by quantizing the conduction electrons or holes with Landau orbits arising from
, also in the entire superconducting regime for an anisotropic, multiband Type-II BCS superconductor. Although the details have not yet been calculated in detail, it appears that this approach could lead to the simple result
is the effective superconducting gap. More generally, this approach can lead to analytic expressions for
for anisotropic, multiband Type-II superconductors of various orbital symmetries that could aid in the interpretation of experimental data on unconventional superconductors.
This is an open access article distributed under the Creative Commons Attribution License
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
Printed Edition Available!
A printed edition of this Special Issue is available here
Share & Cite This Article
MDPI and ACS Style
Klemm, R.A. Towards a Microscopic Theory of the Knight Shift in an Anisotropic, Multiband Type-II Superconductor. Magnetochemistry 2018, 4, 14.
Klemm RA. Towards a Microscopic Theory of the Knight Shift in an Anisotropic, Multiband Type-II Superconductor. Magnetochemistry. 2018; 4(1):14.
Klemm, Richard A. 2018. "Towards a Microscopic Theory of the Knight Shift in an Anisotropic, Multiband Type-II Superconductor." Magnetochemistry 4, no. 1: 14.
Show more citation formats
Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.
[Return to top]
Multiple requests from the same IP address are counted as one view.