Dissipation in a topological Josephson junction

Abstract

Topological features of low dimensional superconductors have caused a lot of excitement recently because of their broad range of applications in quantum information and their potential to reveal novel phases of quantum matter. A potential problem for practical applications is the presence of phase-slips that break phase coherence. Dissipation in non-topological superconductors suppresses phase-slips and can restore long-range order. Here we investigate the role of dissipation in a topological Josephson junction. We show that the combined effects of topology and dissipation keeps phase and anti-phase slips strongly correlated so that the device is superconducting even under conditions where a non-topological device would be resistive. The resistive transition occurs at a critical value of the dissipation which is four times smaller than that expected for a conventional Josephson junction. We propose that this difference could be employed as a robust experimental signature of topological superconductivity.

5 pages, 2 figures

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Cited by in corpus (15)

• Josephson junction dynamics in the presence of $2\pi$- and $4\pi$-periodic supercurrents
• Topological phases in Kitaev chain with imbalanced pairing
• Defective Majorana zero modes in non-Hermitian Kitaev chain
• Fractional Josephson Effect in Number-Conserving Systems
• Dissipative topological systems
• Kink-antikink stripe interactions in the two-dimensional sine-Gordon equation
• Resonant generation of $p$-wave Cooper pair in non-Hermitian Kitaev chain at exceptional point
• Josephson radiation from nonlinear dynamics of Majorana zero modes
• Revisiting 2-pi phase slip suppression in topological Josephson junctions
• Fraunhofer pattern in the presence of Majorana zero modes
• Photonic cross-noise spectroscopy of Majorana bound states
• Dissipative Majorana quantum wires
• Quantum transport theory of hybrid superconducting systems
• Josephson radiation patterns in underdamped topological Josephson junctions
• Interedge backscattering in time-reversal symmetric quantum spin Hall Josephson junctions