Isolated hybrid normal/superconducting ring in a magnetic flux: from persistent current to Josephson current

Abstract

We investigate the ground state current of an isolated hybrid normal/superconducting ring (NS ring), threaded by an Aharonov-Bohm magnetic flux. We calculate the excitation spectrum of the ring for any values of the lengths of the normal metal and of the superconductor. We describe the nonlinear flux dependence of the energy levels above and below the gap edge. Using a harmonics expansion for the current, we isolate the contribution due to these nonlinearities and we show that it vanishes for large normal segment length. The remaining contribution is very easy to evaluate from the linearized low energy spectrum. This decomposition allows us to recover in a controlled way the current-flux relationships for SNS junctions and for NS rings. We also study the crossover from persistent current to Josephson current in a multichannel NS ring at finite temperature.

Cited by in corpus (19)

• Ballistic edge states in Bismuth nanowires revealed by SQUID interferometry
• Correspondence between Andreev reflection and Klein tunneling in bipolar graphene
• Double path interference and magnetic oscillations in Cooper pair transport through a single nanowire
• Persistent current and zero-energy Majorana modes in a p-wave disordered superconducting ring
• Persistent currents in Dirac fermion rings
• Persistent currents in one dimension: the other side of Leggett's theorem
• Transfer matrix approach to the persistent current in hybrid normal-superconducting rings
• Josephson effect in topological superconducting rings coupled to a microwave cavity
• Residual conductance of correlated one-dimensional nanosystems: A numerical approach
• Superconducting proximity effect and order parameter fluctuations in disordered and quasiperiodic systems
• The conductance of superconducting-normal hybrid structures
• Flux Periodicities in Loops of Nodal Superconductors
• Long-lived Andreev states as evidence for protected hinge modes in a bismuth nanoring Josephson junction
• Phase-dependent dissipation and supercurrent of a graphene-superconductor ring under microwave irradiation
• Stationary transport in mesoscopic hybrid structures with contacts to superconducting and normal wires. A Green's function approach for multiterminal setups
• Persistent Currents in Normal Metal Rings (Yale PhD thesis)
• Minigap, Parity Effect and Persistent Currents in SNS Nanorings
• Geometric phases and Andreev reflection in hybrid rings
• Current-phase relation of the SNS junction in a superconducting loop