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Quasi-Particle States with Topological Quantum Numbers in the Mixed State of d-wave Superconductors

2002/07/24 by Tomio Koyama, Koyama, Tomio
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Superconductivity (cond-mat.supr-con) #Topological Materials and Phenomena #cond-mat.supr-con

paper · pdf · doi:10.48550/arxiv.cond-mat/0207568

9 pages, 4 figures

arxiv created 2002/07/24 · openalex publication_date 2002/07/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the extended quasi-particle states in the mixed state of d-wave superconductors on the basis of the Bogoliubov-de Gennes equation. We prove that the quasi-particle eigen-states can be classified in terms of new topological quantum numbers which are related to the topological nature of the non-trivial phases of the quasi-particles. Numerical results for the quasi-particle eigen-states reveal the crossover behavior from gapless to gapped states as the flux density B increases. In the strong field region quantum oscillations appear in the excitation energy of the quasi-particles.

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