The topological Kondo model out of equilibrium

Abstract

The topological Kondo effect is a genuine manifestation of the nonlocality of Majorana modes. We investigate its out-of-equilibrium signatures in a model with a Cooper-pair box hosting four of these topological modes, each connected to a metallic lead. Through an advanced matrix-product-state approach tailored to study the dynamics of superconductors, we simulate the relaxation of the Majorana magnetization, which allows us to determine the related Kondo temperature, and we analyze the onset of electric transport after a quantum quench of a lead voltage. Our results apply to Majorana Cooper-pair boxes fabricated in double nanowire devices and provide nonperturbative evidence of the crossover from weak-coupling states to the strongly correlated topological Kondo regime. The latter dominates at the superconductor charge degeneracy points and displays the expected universal fractional zero-bias conductance.

5 pages, 5 figures, Supplemental Material (8 pages, 8 figures)

References in corpus (19)

• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Real-time dynamics in Quantum Impurity Systems: A Time-dependent Numerical Renormalization Group Approach
• Realization of a minimal Kitaev chain in coupled quantum dots
• Majorana box qubits
• "Light-cone" dynamics after quantum quenches in spin chains
• Topological Kondo effect with Majorana fermions
• Time Dependent Variational Principle with Ancillary Krylov Subspace
• Tunable superconducting coupling of quantum dots via Andreev bound states in semiconductor-superconductor nanowires
• Transport properties and Kondo correlations in nanostructures: the time-dependent DMRG method applied to quantum dots coupled to Wilson chains
• Bethe ansatz solution of the topological Kondo model
• Violation of the Wiedemann-Franz law in the Topological Kondo model
• Evidence for spin-polarized bound states in semiconductor-superconductor-ferromagnetic insulator islands
• Robustness of the Kondo effect in a quantum dot coupled to Majorana zero modes
• Many-terminal Majorana island: from Topological to Multi-Channel Kondo Model
• Thermodynamics of the Topological Kondo Model
• Multiterminal transport spectroscopy of subgap states in Coulomb-blockaded superconductors
• Multichannel topological Kondo effect
• Quench dynamics of the Kondo effect: transport across an impurity coupled to interacting wires
• Enhancement of the Kondo effect in a quantum dot formed in a full-shell nanowire

Cited by in corpus (4)

• Simulations of the dynamics of quantum impurity problems with matrix product states
• Topological Kondo effect with spinful Majorana fermions
• Relevance of Anisotropy in the Kondo Effect: Lessons From the Symplectic Case
• Spin and thermal current scaling at a $Y$-junction of XX spin chains