Towards A Microscopic Theory Of The Knight Shift In An Anisotropic, Multiband Type-Ii Superconductor
Keywords
Anisotropy; Electron correlations; Knight shift; Nuclear magnetic resonance; Type-II superconductor
Abstract
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 K(T) at finite temperatures T both above and into its superconducting state. The transverse part of the magnetic induction B(t) = B0 + B1 (t) 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 K(T) at high B0 both in the normal state, and by quantizing the conduction electrons or holes with Landau orbits arising from B0, 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 KS (T) ≈ a(B0 ) − b(B0 )|∆(B0, T)|2, where 2|∆(B0, T)| is the effective superconducting gap. More generally, this approach can lead to analytic expressions for KS (T) for anisotropic, multiband Type-II superconductors of various orbital symmetries that could aid in the interpretation of experimental data on unconventional superconductors.
Publication Date
3-1-2018
Publication Title
Magnetochemistry
Volume
4
Issue
1
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.3390/magnetochemistry4010014
Copyright Status
Unknown
Socpus ID
85094358268 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/85094358268
STARS Citation
Klemm, Richard A., "Towards A Microscopic Theory Of The Knight Shift In An Anisotropic, Multiband Type-Ii Superconductor" (2018). Scopus Export 2015-2019. 8443.
https://stars.library.ucf.edu/scopus2015/8443