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Real space Bogolubov-de Gennes equations study of the boson-fermion model

2008/03/05 by Jaromir Krzyszczak, Krzyszczak, Jaromir, Tadeusz Domański +5
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Superconductivity (cond-mat.supr-con) #cond-mat.supr-con

paper · pdf · doi:10.48550/arxiv.0803.0683

5 pages with 5 Postscript figures, presented at 13 Krajowa Szkola Nadprzewodnictwa (Ladek-Zdroj 2007), will be published in APP-A, uses appolb.cls

arxiv created 2008/03/05 · openalex publication_date 2008/03/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The boson-fermion (BF) model has been proposed to describe superconductivity in short coherence length superconductors. In this work we use it to study impurity induced inhomogeneities in high temperature superconductors (HTS) as found in numerous scanning tunnelling measurements. The model has been formulated in real space and solved with help of Bogolubov-de Gennes approach. Disorder in the boson or fermion subsystem is directly coupled to the superconducting order parameter and leads to severe changes of superconducting properties like local order parameter and density of states. We present the results for many impurities randomly distributed over otherwise clean and periodic two-dimensional square lattice.

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