Nonequilibrium Majorana fluctuations

Abstract

Nonequilibrium physics of random events, or fluctuations, is a unique fingerprint of a given system. Here we demonstrate that in noninteracting systems, whose dynamics is driven by Majorana states, the effective charge $e^{\ast }$, characterizing the electric current fluctuations, is fractional. This is in contrast to noninteracting Dirac systems with the trivial electronic charge, $e^{\ast }=e$. Quite the opposite, in the Majorana state we predict two different fractional effective charges at low and high energies, $e_l^{\ast }=e/2$ and $e_h^{\ast }=3e/2$, accessible at low and high bias voltages, respectively. We show that while the low energy effective charge $e_l^{\ast }$ is sensitive to thermal fluctuations of the current, the high energy effective charge $e_h^{\ast }$ is robust against thermal noise. A unique fluctuation signature of Majorana fermions is, therefore, encoded in the high voltage tails of the electric current noise easily accessible in experiments on strongly nonequilibrium systems even at high temperatures.

essentially improved

References in corpus (10)

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Cited by in corpus (19)

• Universal Majorana thermoelectric noise
• Topological superconductivity and Majorana states in low-dimensional systems
• 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
• Topology and symmetry of surface Majorana arcs in cyclic superconductors
• Majorana entropy revival via tunneling phases
• Majorana ensembles with fractional entropy and conductance in nanoscopic systems
• Majorana molecules and their spectral fingerprints
• Majorana differential shot noise and its universal thermoelectric crossover
• Dual Majorana universality in thermally induced nonequilibrium
• Calculations of in-gap states of ferromagnetic spin chains on \textit{s}-wave wide-band superconductors
• Master equation approach for transport through Majorana zero modes
• Nonequilibrium finite frequency resonances in differential quantum noise driven by Majorana interference
• Majorana phi0 Junction in a Disordered Spin-orbit Coupling Nanowire with Tilted Magnetic Field
• Phase-controlled quantum transport signatures in a quantum dot-Majorana hybrid ring system
• Thermoelectric fluctuations of interfering Majorana bound states
• Revealing universal Majorana fractionalization using differential shot noise and conductance in nonequilibrium states controlled by tunneling phases
• Fluctuation response of a minimal Kitaev chain in nonequilibrium states