Abstract
The authors derive the current and noise correlation that will be measured in a setup consisting of two counter-propagating fractional quantum Hall edge modes, strongly coupled to a superconductor by proximity. These reveal signatures of parafermion zero modes, fractionalized generalizations of Majorana zero modes. These values are obtained using both perturbative calculations and mapping onto an exact solution.
Highlights
Recent years have seen a bevy of interest in topological phases and any measurable quantities they may display
Among the rich phenomena embedded in fractional quantum Hall effect (FQH) phases is their interplay with superconductivity, which may lead to the emergence of parafermion zero modes (PZMs) [3,4]
Fixed point and e m at the fixed point, exposing a stark physical contrast between these two limits: whereas at zero energy, the system deviates from equilibrium via Cooper pairs that the superconductor “loses” to the exiting edge mode, at high energies these deviations arise from fractional quasiparticles tunneling from the edges onto the superconductor interface
Summary
Recent years have seen a bevy of interest in topological phases and any measurable quantities they may display. Where the plus (minus) refers to near-perfect Andreev (normal) reflection and S is the noise correlation function, can be interpreted as the basic charge that tunnels between edges in this process [14,15,16,17], allowing an experimentally accessible way of probing our proposed configuration We show that this ratio is 2e for the IR fixed point and e m at UV fixed point, exposing a stark physical contrast between these two limits: whereas at zero energy, the system deviates from equilibrium via Cooper pairs that the superconductor “loses” to the exiting edge mode, at high energies these deviations arise from fractional quasiparticles tunneling from the edges onto the superconductor interface.
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