Majorana differential shot noise and its universal thermoelectric crossover

Abstract

Nonequilibrium states driven by both electric bias voltages $V$ and temperature differences $\Delta T$ (or thermal voltages $e{V}_T\equiv k_B\Delta T$) are unique probes of various systems. Whereas average currents $I(V,V_T)$ are traditionally measured in majority of experiments, an essential part of nonequilibrium dynamics, stored particularly in fluctuations, remains largely unexplored. Here we focus on Majorana quantum dot devices, specifically on their differential shot noise $\partial S^{>}(V,V_T)/\partial V$, and demonstrate that in contrast to the differential electric or thermoelectric conductance, $\partial I(V,V_T)/\partial V$ or $\partial I(V,V_T)/\partial V_T$, it reveals a crossover from thermoelectric to pure thermal nonequilibrium behavior. It is shown that this Majorana crossover in $\partial S^{>}(V,V_T)/\partial V$ is induced by an interplay of the electric and thermal driving, occurs at an energy scale determined by the Majorana tunneling amplitude, and exhibits a number of universal characteristics which may be accessed in solely noise experiments or in combination with measurements of average currents.

12 pages, 6 figures

References in corpus (33)

• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Introduction to topological superconductivity and Majorana fermions
• Transport spectroscopy of NS nanowire junctions with Majorana fermions
• Realization of a minimal Kitaev chain in coupled quantum dots
• Zero bias conductance peak in Majorana wires made of semiconductor-superconductor hybrid structures
• Probing Majorana Physics in Quantum Dot Shot Noise Experiments
• Interaction effects on a Majorana zero mode leaking into a quantum dot
• Weak measurement protocols for Majorana bound state identification
• Fractional entropy of multichannel Kondo systems from conductance-charge relations
• Plateau regions for zero-bias peaks within 5% of the quantized conductance value $2e^2/h$
• Presence versus absence of end-to-end nonlocal conductance correlations in Majorana nanowires: Majorana bound states versus Andreev bound states
• Spin-resolved thermal signatures of Majorana-Kondo interplay in double quantum dots
• Thermoelectric transport through Majorana bound states and violation of Wiedemann-Franz law
• Entropy measurement of a strongly coupled quantum dot
• Tunneling transport in NSN junctions made of Majorana nanowires across the topological quantum phase transition
• Topological superconductivity and Majorana states in low-dimensional systems
• Violation of the Wiedemann-Franz law in the Topological Kondo model
• Majorana finite frequency nonequilibrium quantum noise
• Dynamic Majorana resonances and universal symmetry of nonequilibrium thermoelectric quantum noise
• Probing Robust Majorana Signatures by Crossed Andreev Reflection with a Quantum Dot
• Majorana entropy revival via tunneling phases
• Majorana ensembles with fractional entropy and conductance in nanoscopic systems
• Multi-particle scattering and breakdown of the Wiedemann-Franz law at a junction of N interacting quantum wires
• A robust protocol for entropy measurement in mesoscopic circuits
• Electronic measurements of entropy in meso- and nanoscale systems
• Statistical Majorana Bound State Spectroscopy
• Master equation approach for transport through Majorana zero modes
• Shot noise in resonant tunneling: Role of inelastic scattering
• Majorana phi0 Junction in a Disordered Spin-orbit Coupling Nanowire with Tilted Magnetic Field
• Memory effect preserved time-local approach to noise spectrum of transport current
• Biasing topological charge injection in topological matter

Cited by in corpus (11)

• Roadmap towards Majorana qubits and nonabelian physics in quantum dot-based minimal Kitaev chains
• Entanglement measures of Majorana bound states
• Thermoelectric processes of quantum normal-superconductor interfaces
• Nonequilibrium finite frequency resonances in differential quantum noise driven by Majorana interference
• Nonlocal thermoelectricity in quantum wires as a signature of Bogoliubov-Fermi points
• Transient effects in quantum dots contacted via topological superconductor
• Quantum transport theory of hybrid superconducting systems
• $\Delta T$-noise in Multiterminal Hybrid Systems
• Thermoelectric fluctuations of interfering Majorana bound states
• Transport in extended Kitaev chain with time reversal symmetry breaking and long-range interaction
• Fluctuation response of a minimal Kitaev chain in nonequilibrium states