Non-Fermi-liquid manifold in a Majorana device

Area of Science:

• Condensed Matter Physics
• Quantum Phenomena

Background:

• Non-Fermi-liquid states are exotic phases of matter with unusual electronic properties.
• Understanding their stability and realization is a key challenge in condensed matter physics.

Purpose of the Study:

• To propose and investigate a physical system capable of hosting stable non-Fermi-liquid states.
• To explore the underlying quantum mechanical processes responsible for these states.

Main Methods:

• Theoretical study of a mesoscopic superconducting island with N≥3 Majorana bound states.
• Analysis of tunneling coupled to normal leads and a Josephson contact to a bulk superconductor.
• Investigating the interplay between multichannel Kondo and resonant Andreev reflection processes.

Main Results:

• Identification of a stable manifold of non-Fermi-liquid states.
• Discovery of a nontrivial interplay between multichannel Kondo and resonant Andreev reflection.
• The scaling dimension of perturbations continuously changes within the manifold.

Conclusions:

• The proposed setup provides a viable platform for realizing stable non-Fermi-liquid states.
• The interplay of quantum processes is crucial for forming the observed fixed point manifold.
• The findings offer insights into the power-law scaling of temperature-dependent conductance.