Effect of correlated disorder on the temperature of unconventional Cooper pairing (3He in aerogel)

Abstract

Using liquid 3He in aerogel as an example, it is shown that correlations in positions of impurities affect the temperature $T_c$ of transition of Fermi liquid in an unconventional superfluid or superconductive state. The effect is significant if the correlation length for impurities is greater than the coherence length in the superfluid or superconductive state ${\xi }_0$. For 3He in aerogel the suppression of $T_c$ is expressed in terms of the structure factor of aerogel. With the account of the fractal structure of aerogel a simple expression is obtained for the decrease of $T_c$ from its clean value. This expression is in a satisfactory agreement with experimental data.

arXiv comment9 pages, 1 figure, Russian version accepted for publication in "Pis`ma v ZhETF"

References in corpus (6)

• Models for Superfluid ${}^3$He in Aerogel
• Critical temperature and superfluid density suppression in disordered high-$T_c$ cuprate superconductors
• Impurity Effects on the A_1-A_2 Splitting of Superfluid 3He in Aerogel
• Magnetization and Spin-Diffusion of Liquid 3He in Aerogel
• Model of Inhomogeneous Impurity Distribution in Fermi Superfluids
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Cited by in corpus (6)

• The Effect of Magnetic Impurities on Superfluid ${}^3$He in Aerogel
• Correlated disorder in Kondo lattice
• Orbital-Flop Transition of Angular Momentum in a Topological Superfluid
• Coherent reaction of Fermi superfluid on correlated disorder
• Local structure of ordered and disordered states of 3He-A in aerogel
• Influence of correlated impurities on the onset of Cooper pairing