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Local Electronic Structure in Superconductors Under a Magnetic Field

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Bogoliubov-de Gennes Method and Its Applications

Part of the book series: Lecture Notes in Physics ((LNP,volume 924))

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Abstract

In this chapter, the calculation of local electronic structure in the presence of magnetic field is discussed. It starts with the continuum theory for a single vortex and proceeds to the lattice version for the vortex lattices in both conventional s-wave and unconventional d-wave superconductors. A generalization of the BdG formulation for a topological superconductor will be briefly explored. For high-T c cuprates, the local induction of competing order around a magnetic vortex core is examined. Finally, the Zeeman-field induced FFLO superconducting state is also analyzed in depth.

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Authors and Affiliations

  1. Theoretical Division, MS B262, Los Alamos National Laboratory, Los Alamos, New Mexico, USA

    Jian-Xin Zhu

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Zhu, JX. (2016). Local Electronic Structure in Superconductors Under a Magnetic Field. In: Bogoliubov-de Gennes Method and Its Applications. Lecture Notes in Physics, vol 924. Springer, Cham. https://doi.org/10.1007/978-3-319-31314-6_5

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