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Nonlocal effects on penetration depth of FFLO d-wave superconductors

2008/04/17 by R. Afzali, Reza Afzali, Afzali, Reza
Physics and Astronomy · #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #Strongly Correlated Electrons (cond-mat.str-el) #Superconductivity (cond-mat.supr-con) #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.48550/arxiv.0804.2914

8 pasges, no figures

arxiv created 2008/04/17 · openalex publication_date 2008/04/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The penetration depth of FFLO d-wave superconductors is calculated, in presence of additional magnetic field for both parallel and perpendicular to the internal FFLO magnetic field, when the nonlocal effects are dominated. The generalized Gorkov equations have been used to obtain the linearized response kernel. It is shown that extra term added to total kernel with no spatially gap is proportional to the momentum of FFLO Cooper pairs, Q. For the case parallel to the internal FFLO magnetic field, below a crossover temperature T*, it is shown that Lambda(T)-Lambda(0) is proportional to T3 for both specular reflecting and diffusive boundary. It is noted that both terms in penetration depth with and without Q dependence have the same temperature dependence but magnetic field dependence are different(the terms without and with Q dependence are proportional to 1/h' and 1/(h'2) respectively). Also nonlocal effect on penetration depth of FFLO state in reign T>>T* obtains temperature dependence T4. Furthermore, when external magnetic test-field is perpendicular to internal FFLO magnetic field, it is shown that nonlocal effects on penetration depth give the same Q and temperature dependence as the parallel case but with different internal and additional magnetic field dependences.

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