Majorana entropy revival via tunneling phases

Abstract

Measuring the Majorana entropy $S_M=k_B\log (2^{\frac{1}{2}})$ may uniquely reveal whether an initial equilibrium state of a nanoscale device is of Majorana nature and subsequent operations deal with an essentially nonlocal pair of non-Abelian Majorana bound states and not with trivial or other accidental non-Abelian states. However, in realistic setups both Majorana modes are inevitably involved in tunneling processes. We show that even when the tunneling amplitude of one Majorana mode is significantly suppressed, the Majorana entropy ruins and straightforward experiments will in general detect entropy $S\ll S_M$. To avoid this general problem we present a mechanism of the Majorana entropy revival via the tunneling phases of the Majorana modes and demonstrate that to successfully observe the universal Majorana plateau $S=S_M$ one should intelligently tune the tunneling phases instead of leaving them uncontrolled. Practical feasibility of appropriate Majorana entropy measurements is supported by an example with parameters well achievable in modern labs.

arXiv comment8 pages, 6 figures

References in corpus (34)

• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Helical liquids and Majorana bound states in quantum wires
• New directions in the pursuit of Majorana fermions in solid state systems
• Exponential Protection of Zero Modes in Majorana Islands
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Introduction to topological superconductivity and Majorana fermions
• Quantized Majorana conductance
• Electron Teleportation via Majorana Bound States in a Mesoscopic Superconductor
• Majorana Fermions and Topology in Superconductors
• Probing Majorana Physics in Quantum Dot Shot Noise Experiments
• Majorana single-charge transistor
• Coulomb blockade of Majorana fermion induced transport
• How to measure the entropy of a mesoscopic system via thermoelectric transport
• Thermoelectric signatures of a Majorana bound state coupled to a quantum dot
• Weak measurement protocols for Majorana bound state identification
• Detecting the universal fractional entropy of Majorana zero modes
• Majorana tunneling entropy
• Thermoelectric transport through Majorana bound states and violation of Wiedemann-Franz law
• Current Correlations in a Majorana Beam Splitter
• Universal Majorana thermoelectric noise
• Driven Dissipative Majorana Dark Spaces
• Majorana zero modes choose Euler numbers - revealed by full counting statistics
• 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
• Finite-frequency noise in a topological superconducting wire
• Dual Majorana universality in thermally induced nonequilibrium
• Nonequilibrium electrical, thermal and spin transport in open quantum systems of topological superconductors, semiconductors and metals
• Finite frequency noise in a normal metal - topological superconductor junction
• Pumped heat and charge statistics from Majorana braiding

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• Majorana differential shot noise and its universal thermoelectric crossover
• Electronic measurements of entropy in meso- and nanoscale systems
• Entanglement measures of Majorana bound states
• Can non-local conductance spectra conclusively signal Majorana zero modes? -- Insights from von Neumann entropy
• Quantized spin pumping in topological ferromagnetic-superconducting nanowires
• Thermoelectric processes of quantum normal-superconductor interfaces
• Master equation approach for transport through Majorana zero modes
• Nonequilibrium finite frequency resonances in differential quantum noise driven by Majorana interference
• Biasing topological charge injection in topological matter
• Thermoelectric fluctuations of interfering Majorana bound states
• Fluctuation response of a minimal Kitaev chain in nonequilibrium states
• Creating and detecting poor man's Majorana bound states in interacting quantum dots
• Revealing universal Majorana fractionalization using differential shot noise and conductance in nonequilibrium states controlled by tunneling phases