Noise of a chargeless Fermi liquid

Abstract

We construct a Fermi liquid theory to describe transport in a superconductor-quantum dot- normal metal junction close to the singlet-doublet (parity changing) transition of the dot. Though quasiparticles do not have a definite charge in this chargeless Fermi liquid, in case of particle-hole symmetry, a mapping to the Anderson model unveils a hidden U(1) symmetry and a corresponding pseudo-charge. In contrast to other correlated Fermi-liquids, the back scattering noise reveals an effective charge equal to the charge of Cooper pairs, $e^{\ast }=2e$. In addition,we find a strong suppression of noise when the linear conductance is unitary, even for its non-linear part.

5 pages, 4 figures and 5 pages of supplementary material with 3 figures

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Cited by in corpus (6)

• Fermi liquid approach for superconducting Kondo problems
• Phase-Coherent Dynamics of Quantum Devices With Local Interactions
• Signatures of Kondo-Majorana interplay in ac response
• Thermoelectric transport and current noise through a multilevel Anderson impurity: Three-body Fermi-liquid corrections in quantum dots and magnetic alloys
• Three-body Fermi liquid corrections for an infinite-$U$ SU($N$) Anderson impurity model
• Three-body Fermi-liquid corrections for Andreev transport through quantum dots