Fate of disorder-induced inhomogeneities in strongly correlated d-wave superconductors

We analyze the complex interplay of the strong correlations and impurities in a high temperature superconductor and show that both the nature and degree of the inhomogeneities at zero temperature in the local-order parameters change drastically from those obtained in a simple Hartree–Fock–Bogoliubov...

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Main Authors: Debmalya Chakraborty, Amit Ghosal
Format: Article
Language:English
Published: IOP Publishing 2014-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/16/10/103018
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author Debmalya Chakraborty
Amit Ghosal
author_facet Debmalya Chakraborty
Amit Ghosal
author_sort Debmalya Chakraborty
collection DOAJ
description We analyze the complex interplay of the strong correlations and impurities in a high temperature superconductor and show that both the nature and degree of the inhomogeneities at zero temperature in the local-order parameters change drastically from those obtained in a simple Hartree–Fock–Bogoliubov theory. Although both the strong electronic repulsions and disorder contribute to the nanoscale inhomogeneity in the population of charge-carriers, we find they compete with each other, leading to a relatively smooth variation of the local density. Our self-consistent calculations modify the spatial fluctuations in the pairing amplitude by suppressing all the double occupancy within a Gutzwiller formalism and prohibit the formation of distinct superconducting ‘islands’. In contrast, presence of such ‘islands’ controls the outcome if strong correlations are neglected. The reorganization of the spatial structures in the Gutzwiller method makes these superconductors surprisingly insensitive to the impurities. This is illustrated by a very weak decay of superfluid stiffness, off-diagonal long-range order and local density of states up to a large disorder strength. Exploring the origin of such a robustness, we conclude that the underlying one-particle normal states reshape in a rich manner, such that the superconductor formed by pairing these states experiences a weaker but spatially correlated effective disorder. Such a route to superconductivity is evocative of Andersonʼs theorem. Our results capture the key experimental trends in the cuprates.
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spelling doaj.art-a28f966a650245518dcbdd53b5e58a682023-08-08T11:31:01ZengIOP PublishingNew Journal of Physics1367-26302014-01-01161010301810.1088/1367-2630/16/10/103018Fate of disorder-induced inhomogeneities in strongly correlated d-wave superconductorsDebmalya Chakraborty0Amit Ghosal1Indian Institute of Science Education and Research Kolkata , Mohanpur 741246, West Bengal, IndiaIndian Institute of Science Education and Research Kolkata , Mohanpur 741246, West Bengal, IndiaWe analyze the complex interplay of the strong correlations and impurities in a high temperature superconductor and show that both the nature and degree of the inhomogeneities at zero temperature in the local-order parameters change drastically from those obtained in a simple Hartree–Fock–Bogoliubov theory. Although both the strong electronic repulsions and disorder contribute to the nanoscale inhomogeneity in the population of charge-carriers, we find they compete with each other, leading to a relatively smooth variation of the local density. Our self-consistent calculations modify the spatial fluctuations in the pairing amplitude by suppressing all the double occupancy within a Gutzwiller formalism and prohibit the formation of distinct superconducting ‘islands’. In contrast, presence of such ‘islands’ controls the outcome if strong correlations are neglected. The reorganization of the spatial structures in the Gutzwiller method makes these superconductors surprisingly insensitive to the impurities. This is illustrated by a very weak decay of superfluid stiffness, off-diagonal long-range order and local density of states up to a large disorder strength. Exploring the origin of such a robustness, we conclude that the underlying one-particle normal states reshape in a rich manner, such that the superconductor formed by pairing these states experiences a weaker but spatially correlated effective disorder. Such a route to superconductivity is evocative of Andersonʼs theorem. Our results capture the key experimental trends in the cuprates.https://doi.org/10.1088/1367-2630/16/10/103018condensed matter physicsstrongly correlated materialssuperconductivitydisordered systems
spellingShingle Debmalya Chakraborty
Amit Ghosal
Fate of disorder-induced inhomogeneities in strongly correlated d-wave superconductors
New Journal of Physics
condensed matter physics
strongly correlated materials
superconductivity
disordered systems
title Fate of disorder-induced inhomogeneities in strongly correlated d-wave superconductors
title_full Fate of disorder-induced inhomogeneities in strongly correlated d-wave superconductors
title_fullStr Fate of disorder-induced inhomogeneities in strongly correlated d-wave superconductors
title_full_unstemmed Fate of disorder-induced inhomogeneities in strongly correlated d-wave superconductors
title_short Fate of disorder-induced inhomogeneities in strongly correlated d-wave superconductors
title_sort fate of disorder induced inhomogeneities in strongly correlated d wave superconductors
topic condensed matter physics
strongly correlated materials
superconductivity
disordered systems
url https://doi.org/10.1088/1367-2630/16/10/103018
work_keys_str_mv AT debmalyachakraborty fateofdisorderinducedinhomogeneitiesinstronglycorrelateddwavesuperconductors
AT amitghosal fateofdisorderinducedinhomogeneitiesinstronglycorrelateddwavesuperconductors