Nonequilibrium finite frequency resonances in differential quantum noise driven by Majorana interference

Abstract

Nonequilibrium quantum noise $S^{>}(\omega ,V)$ measured at finite frequencies $\omega$ and bias voltages $V$ probes Majorana bound states in a host nanostructure via fluctuation fingerprints unavailable in average currents or static shot noise. When Majorana interference is brought into play, it enriches nonequilibrium states and makes their nature even more unique. Here we demonstrate that an interference of two Majorana modes via a nonequilibrium quantum dot gives rise to a remarkable finite frequency response of the differential quantum noise $\partial S^{>}(\omega ,V,\Delta \varphi )/\partial V$ driven by the Majorana phase difference $\Delta \varphi$. Specifically, at low bias voltages there develops a narrow resonance of width $\hslash \Delta \omega \sim {\sin }^2\Delta \varphi$ at a finite frequency determined by $V$, whereas for high bias voltages there arise two antiresonances at two finite frequencies controlled by both $V$ and $\Delta \varphi$. We show that the maximum and minimum of these resonance and antiresonances have universal fractional values, $3e^3/4h$ and $-e^3/4h$. Moreover, detecting the frequencies of the antiresonances provides a potential tool to measure $\Delta \varphi$ in nonequilibrium experiments on Majorana finite frequency quantum noise.

14 pages, 8 figures

References in corpus (82)

• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• New directions in the pursuit of Majorana fermions in solid state systems
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Introduction to topological superconductivity and Majorana fermions
• Andreev bound states versus Majorana bound states in quantum dot-nanowire-superconductor hybrid structures: Trivial versus topological zero-bias conductance peaks
• Transport spectroscopy of NS nanowire junctions with Majorana fermions
• Majorana Fermions and Topology in Superconductors
• Realization of a minimal Kitaev chain in coupled quantum dots
• Detecting a Majorana-Fermion Zero Mode Using a Quantum Dot
• Non-Abelian operations on Majorana fermions via single charge control
• Nonlocality of Majorana Modes in Hybrid Nanowires
• Transport signatures of Floquet Majorana fermions in driven topological superconductors
• Subtle leakage of a Majorana mode into a quantum dot
• Non-Majorana states yield nearly quantized conductance in superconductor-semiconductor nanowire devices
• Universal transport signatures of Majorana fermions in superconductor-Luttinger liquid junctions
• Enhanced zero-bias Majorana peak in disordered multi-subband quantum wires
• Zero bias conductance peak in Majorana wires made of semiconductor-superconductor hybrid structures
• Probing Majorana Physics in Quantum Dot Shot Noise Experiments
• Distinguishing topological Majorana bound states from trivial Andreev bound states: Proposed tests through differential tunneling conductance spectroscopy
• Low-energy theory of transport in Majorana wire junctions
• Conductance of a proximitized nanowire in the Coulomb blockade regime
• Thermoelectrical detection of Majorana states
• Interaction effects on a Majorana zero mode leaking into a quantum dot
• How to measure the entropy of a mesoscopic system via thermoelectric transport
• Roadmap towards Majorana qubits and nonabelian physics in quantum dot-based minimal Kitaev chains
• Thermoelectric signatures of a Majorana bound state coupled to a quantum dot
• Weak measurement protocols for Majorana bound state identification
• How to infer non-Abelian statistics and topological invariants from tunneling conductance properties of realistic Majorana nanowires
• Fractional entropy of multichannel Kondo systems from conductance-charge relations
• Interplay between Kondo and Majorana interactions in quantum dots
• Detecting the universal fractional entropy of Majorana zero modes
• Quantum Noise Measurement of a Carbon Nanotube Quantum Dot in the Kondo Regime
• Robust Majorana conductance peaks for a superconducting lead
• Plateau regions for zero-bias peaks within 5% of the quantized conductance value $2e^2/h$
• Majorana tunneling entropy
• 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
• Giant shot noise from Majorana zero modes in topological trijunctions
• Current Correlations in a Majorana Beam Splitter
• Entropy measurement of a strongly coupled quantum dot
• Universal Majorana thermoelectric noise
• Tuning of heat and charge transport by Majorana fermions
• Tunneling transport in NSN junctions made of Majorana nanowires across the topological quantum phase transition
• Driven Dissipative Majorana Dark Spaces
• Violation of the Wiedemann-Franz law in the Topological Kondo model
• Majorana zero modes choose Euler numbers - revealed by full counting statistics
• Detecting Perfect Transmission in Josephson Junctions on the Surface of Three Dimensional Topological Insulators
• Majorana finite frequency nonequilibrium quantum noise
• Dynamic Majorana resonances and universal symmetry of nonequilibrium thermoelectric quantum noise
• Nonequilibrium Majorana fluctuations
• Distinguishing between Topological and Quasi Majorana Zero Modes with a Dissipative Resonant Level
• Towards dark space stabilization and manipulation in driven dissipative Majorana platforms
• Probing Robust Majorana Signatures by Crossed Andreev Reflection with a Quantum Dot
• Majorana entropy revival via tunneling phases
• Finite-frequency noise in a topological superconducting wire
• 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
• Slave-boson Keldysh field theory for the Kondo effect in quantum dots
• A robust protocol for entropy measurement in mesoscopic circuits
• Blocking transport resonances via Kondo entanglement in quantum dots
• Transport through a Majorana island: strong tunneling regime
• A thermodynamic approach to measuring entropy in a few-electron nanodevice
• Majorana differential shot noise and its universal thermoelectric crossover
• Single-electron charge transfer into putative Majorana and trivial modes in individual vortices
• Fano-Majorana effect and bound states in the continuum on a crossbar-shaped quantum dot hybrid structure
• Electronic measurements of entropy in meso- and nanoscale systems
• Tunneling conductance for Majorana fermions in spin-orbit coupled semiconductor-superconductor heterostructures using superconducting leads
• Isolating Majorana fermions with finite Kitaev nanowires and temperature: the universality of the zero-bias conductance
• Finite frequency noise in a normal metal - topological superconductor junction
• Dual Majorana universality in thermally induced nonequilibrium
• Nonequilibrium electrical, thermal and spin transport in open quantum systems of topological superconductors, semiconductors and metals
• Differential current noise as an identifier of Andreev bound states that induce nearly quantized conductance plateaus
• Quantized spin pumping in topological ferromagnetic-superconducting nanowires
• Statistical Majorana Bound State Spectroscopy
• Master equation approach for transport through Majorana zero modes
• Majorana phi0 Junction in a Disordered Spin-orbit Coupling Nanowire with Tilted Magnetic Field
• Signatures of Kondo-Majorana interplay in ac response
• Biasing topological charge injection in topological matter
• Quantum transport theory of hybrid superconducting systems

Cited by in corpus (6)

• Entanglement measures of Majorana bound states
• Phase-controlled quantum transport signatures in a quantum dot-Majorana hybrid ring system
• Thermoelectric fluctuations of interfering Majorana bound states
• Super-Poissonian noise from quasiparticle poisoning in electron transport through a pair of Majorana bound states
• Fluctuation response of a minimal Kitaev chain in nonequilibrium states
• Odd-frequency Pairing in Josephson Junctions Coupled by Magnetic Textures