Introduction to superconductivity in metals without inversion center

V. P. Mineev; M. Sigrist

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arXiv · 0904.2962

Introduction to superconductivity in metals without inversion center

V. P. Mineev·M. Sigrist

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Abstract

This Chapter gives a brief introduction to some basic aspects metals and superconductors in crystal without inversion symmetry. In a first part we analyze some normal state properties which arise through antisymmetric spin-orbit coupling existing in non-centrosymmetric materials and show its influence on the de Haas-van Alphen effect. For the superconducting phase we introduce a multi-band formulation which naturally arises due the spin splitting of the bands by spin-orbit coupling. It will then be shown how the states can be symmetry classified and their relation to the original classification in even-parity spin-singlet and odd-parity spin-triplet pairing states. The general Ginzburg-Landau functional will be derived and applied to the nucleation of superconductivity in a magnetic field. It will be shown that magneto-electric effects can modify the standard paramagnetic limiting behavior drastically.

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V. P. Mineev, M. Sigrist. 2009-05-28. Introduction to superconductivity in metals without inversion center. https://arxiv.org/abs/0904.2962

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