Majorana mode leaking into a spin-charge entangled double quantum dot

Abstract

The signatures of Majorana zero-energy mode leaking into a spin-charge entangled double quantum dot are investigated theoretically in the strong electron correlation regime. The considered setup consists of two capacitively coupled quantum dots attached to external contacts and side-attached to topological superconducting wire hosting Majorana quasiparticles. We show that the presence of Majorana mode gives rise to unique features in the local density of states in the $SU(4)$ Kondo regime. Moreover, it greatly modifies the gate voltage dependence of the linear conductance, leading to fractional values of the conductance. We also analyze the effect of a finite length of topological wire and demonstrate that non-zero overlap of Majorana modes at the ends of the wire is revealed in local extrema present in the local density of states of the dot coupled directly to the wire. The calculations are performed with the aid of the numerical renormalization group method.

12 pages, 10 figures

References in corpus (20)

• Non-Abelian Anyons and Topological Quantum Computation
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• The numerical renormalization group method for quantum impurity systems
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Scaling of Majorana Zero-Bias Conductance Peaks
• Distinguishing a Majorana zero mode using spin resolved measurements
• Parity qubits and poor man's Majorana bound states in double quantum dots
• Probing Majorana Physics in Quantum Dot Shot Noise Experiments
• Quantum phase transition in capacitively coupled double quantum dots
• Interaction effects on a Majorana zero mode leaking into a quantum dot
• Tunneling spectroscopy of Majorana-Kondo devices
• Entangling Spins in Double Quantum Dots and Majorana Bound States
• Robustness of the Kondo effect in a quantum dot coupled to Majorana zero modes
• Kondo physics in double quantum dot based Cooper pair splitters
• The $SU(4)-SU(2)$ crossover and spin filter properties of a double quantum dot nanosystem
• Capacitive interactions and Kondo effect tuning in double quantum impurity systems