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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
Magnetochemistry 2018, 4(1), 14; https://doi.org/10.3390/magnetochemistry4010014
Received: 24 November 2017 / Revised: 26 December 2017 / Accepted: 4 January 2018 / Published: 29 January 2018
(This article belongs to the Special Issue Nuclear Magnetic Resonance Spectroscopy)
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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 ) = B 0 + B 1 ( 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 B 0 both in the normal state, and by quantizing the conduction electrons or holes with Landau orbits arising from B 0 , 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 K S ( T ) a ( B 0 ) b ( B 0 ) | Δ ( B 0 , T ) | 2 , where 2 | Δ ( B 0 , T ) | is the effective superconducting gap. More generally, this approach can lead to analytic expressions for K S ( T ) for anisotropic, multiband Type-II superconductors of various orbital symmetries that could aid in the interpretation of experimental data on unconventional superconductors. View Full-Text
Keywords: Knight shift; Type-II superconductor; nuclear magnetic resonance; anisotropy; electron correlations Knight shift; Type-II superconductor; nuclear magnetic resonance; anisotropy; electron correlations
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Klemm, R.A. Towards a Microscopic Theory of the Knight Shift in an Anisotropic, Multiband Type-II Superconductor. Magnetochemistry 2018, 4, 14.

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