Electrodynamic Response of a Solitary Andreev Level – Theoretical Model
ORAL
Abstract
Andreev levels provide mesoscopic superconductivity systems that are both rich and tractable. While their underlying physics may be revealed through their electrodynamic responses, investigations have so far been limited. Here, we present results on the dynamical response of an intuitive basic system – the Josephson resonant level: a quantum dot with a single weakly-interacting fermionic level tunnel-coupled to two superconducting leads.
In this talk, we describe the theory of a Josephson resonant level and show that it provides a simple, versatile, and tractable model of a solitary Andreev level in a Josephson weak link. Within this model, we calculate the linear response to the external driving of current flowing through the junction and of charge in the junction region. The dependence of the response functions on the number of quasiparticles occupying the Andreev level is obtained. In contrast to previous studies, we take into account weak Coulomb interaction in the system and pinpoint its observable effects on the dynamic properties of Andreev levels. Finally, we show that occupied continuum states outside of the gap may give a substantial contribution to the response of the system.
In this talk, we describe the theory of a Josephson resonant level and show that it provides a simple, versatile, and tractable model of a solitary Andreev level in a Josephson weak link. Within this model, we calculate the linear response to the external driving of current flowing through the junction and of charge in the junction region. The dependence of the response functions on the number of quasiparticles occupying the Andreev level is obtained. In contrast to previous studies, we take into account weak Coulomb interaction in the system and pinpoint its observable effects on the dynamic properties of Andreev levels. Finally, we show that occupied continuum states outside of the gap may give a substantial contribution to the response of the system.
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Presenters
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Pavel Kurilovich
Yale University, Departments of Applied Physics and Physics, Yale University
Authors
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Pavel Kurilovich
Yale University, Departments of Applied Physics and Physics, Yale University
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Vladislav Kurilovich
Yale University, Departments of Applied Physics and Physics, Yale University
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Valla Fatemi
Yale University, Departments of Applied Physics and Physics, Yale University
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Michel Devoret
Yale University, Applied Physics Department, Yale University, Yale, Department of Applied Physics and Physics, Yale University, Applied Physics, Yale University, Departments of Applied Physics and Physics, Yale University
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Leonid Glazman
Yale University, Departments of Applied Physics and Physics, Yale University