Quantum-critical dynamics of a Josephson junction at the topological transition

Abstract

We find the admittance $Y(\omega )$ of a Josephson junction at or near a topological transition. The dependence of the admittance on frequency and temperature at the critical point is universal and determined by the symmetries of the system. Despite the absence of a spectral gap at the transition, the dissipative response may remain weak at low energies: $\mathrm{Re}Y(\omega )\propto \max (\omega ,T{)}^2$. This behavior is strikingly different from the electromagnetic response of a normal metal. Away from the critical point, the scaling functions for the dependence of the admittance on frequency and temperature are controlled by at most two parameters.

arXiv comment27 pages, 7 figures

References in corpus (32)

• Non-Abelian Anyons and Topological Quantum Computation
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Helical liquids and Majorana bound states in quantum wires
• Classification of topological quantum matter with symmetries
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Topological phases of fermions in one dimension
• Epitaxy of Semiconductor-Superconductor nanowires
• Zero-bias peaks in spin-orbit coupled superconducting wires with and without Majorana end-states
• Andreev bound states versus Majorana bound states in quantum dot-nanowire-superconductor hybrid structures: Trivial versus topological zero-bias conductance peaks
• Zero-bias anomaly in a nanowire quantum dot coupled to superconductors
• Reproducing topological properties with quasi-Majorana states
• Griffiths effects and quantum critical points in dirty superconductors without spin-rotation invariance: One-dimensional examples
• Spin-orbit splitting of Andreev states revealed by microwave spectroscopy
• Direct microwave measurement of Andreev-bound-state dynamics in a proximitized semiconducting nanowire
• Topological superconducting phases in disordered quantum wires with strong spin-orbit coupling
• Zero-energy Andreev bound states from quantum dots in proximitized Rashba nanowires
• Microwave spectroscopy of spinful Andreev bound states in ballistic semiconductor Josephson junctions
• Continuous monitoring of a trapped, superconducting spin
• Orbital effect of magnetic field on the Majorana phase diagram
• Signatures of topological Josephson junctions
• Tunability of microwave transitions as a signature of coherent parity mixing effects in the Majorana-Transmon qubit
• Microwave signatures of Majorana states in a topological Josephson junction
• Frequency-dependent admittance of a short superconducting weak link
• Circuit-QED with phase-biased Josephson weak links
• Probing a topological quantum critical point in semiconductor-superconductor heterostructures
• Spectral response of Josephson junctions with low-energy quasiparticles
• Energy spectrum and current-phase relation of a nanowire Josephson junction close to the topological transition

Cited by in corpus (1)

• Microwave Signatures of Topological Superconductivity in Planar Josephson Junctions