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arXiv · 1205.0765

The Principle Of Local Rotational Invariance And The Coexistence Of Magnetism, Charge And Superconductivity

Mauro M. Doria·Alfredo A. Vargas-Paredes·JosÉ A. HelayËl-Neto
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Abstract

We propose a macroscopic description of the superconducting state in presence of an applied external magnetic field in terms of first order differential equations. They describe a corrugated two-component order parameter intertwined with a spin-charged background, caused by spin correlations and charged dislocations. The first order differential equations are a consequence of a Weitzenböck-Liechnorowitz identity which renders a SUL(2) \otimes UL(1) invariant ground state, based on (L) local rotational and electromagnetic gauge symmetry. The proposal is based on a long ago developed formalism by Élie Cartan to investigate curved spaces, viewed as a collection of small Euclidean granules that are translated and rotated with respect to each other. Élie Cartan's formalism unveils the principle of local rotational invariance as a gauge symmetry because the global SU(2) invariance of the order parameter is turned local by the interlacement of spin and charge to pairing.

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Mauro M. Doria, Alfredo A. Vargas-Paredes, JosÉ A. HelayËl-Neto. 2012-05-03. The Principle Of Local Rotational Invariance And The Coexistence Of Magnetism, Charge And Superconductivity. https://doi.org/10.1142/s0217984912300050

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