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Pré-Publication, Document De Travail Année : 2022

Local density of state fluctuations in 2d multifractal superconductor

Mathieu Lizee
  • Fonction : Auteur
Matthias Stosiek
  • Fonction : Auteur
Igor Burmistrov
  • Fonction : Auteur
Tristan Cren
  • Fonction : Auteur

Résumé

The interplay of superconductivity and disorder is known to generate a wealth of new phenomena which have driven the history of superconductivity since its infancy. One of the major breakthroughs in the field is the celebrated quantum phase transition from superconductor to insulating state. Interestingly, the opposite effect has been reported several times : an increase of the superconducting critical temperature by disorder. One of the proposed mechanisms involves the peculiar structure of diffusive electronic wavefunctions whose multifractality can increase the superconducting pairing. Recent experiments in monolayer NbSe2 on graphene have reported Tc enhancement due to multifractal superconductivity but the theoretical models at our disposal fail to account for this effect at the relevant level of disorder. In this work, we use an epitaxial monolayer of lead showing a simple band structure and homogenous structural disorder as a model system of a 2d multifractal superconductor in the weak-antilocalization regime. Then, we perform an extensive study of the emergent fluctuations of local density of states in this material and compare them with both analytical results and numerical solution of the attractive Hubbard model. We show that mesoscopic LDOS fluctuations allow to probe locally elastic and inelastic scattering in 2d weakly disordered materials in particular in the most interesting multifractal regime.

Dates et versions

hal-03853822 , version 1 (15-11-2022)

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Mathieu Lizee, Matthias Stosiek, Christophe Brun, Igor Burmistrov, Tristan Cren. Local density of state fluctuations in 2d multifractal superconductor. 2022. ⟨hal-03853822⟩
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