Dual Majorana universality in thermally induced nonequilibrium

Abstract

We demonstrate that nonequilibrium nanoscopic systems with Majorana zero modes admit special kind of universality which cannot be classified as of strictly transport or strictly thermodynamic nature. To reveal such kind of Majorana universality we explore purely thermal nonequilibrium states of a quantum dot whose low-energy degrees of freedom are governed by Majorana zero modes. Specifically, the quantum dot is coupled to a topological superconductor, supporting Majorana zero modes, as well as to two normal metallic contacts with the same chemical potentials but different temperatures. It is shown that the Majorana universality in this setup is dual: it is stored inside both the response of the electric current, excited by exclusively the temperature difference, and the quantum dot compressibility. The latter is defined as the derivative of the quantum dot particle number with respect to the chemical potential and forms a universal Majorana ratio with a proper derivative of the electric current that flows in nonequilibrium states of purely thermal nature.

7 pages, 7 figures

References in corpus (12)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Introduction to topological superconductivity and Majorana fermions
• Probing Majorana Physics in Quantum Dot Shot Noise Experiments
• Weak measurement protocols for Majorana bound state identification
• Thermoelectric transport through Majorana bound states and violation of Wiedemann-Franz law
• Majorana-Kondo interplay in T-shaped double quantum dots
• Robustness of the Kondo effect in a quantum dot coupled to Majorana zero modes
• Majorana finite frequency nonequilibrium quantum noise
• Dynamic Majorana resonances and universal symmetry of nonequilibrium thermoelectric quantum noise
• Direct Entropy Measurement in a Mesoscopic Quantum System

Cited by in corpus (10)

• Spin-resolved thermal signatures of Majorana-Kondo interplay in double quantum dots
• Majorana entropy revival via tunneling phases
• Majorana ensembles with fractional entropy and conductance in nanoscopic systems
• Majorana differential shot noise and its universal thermoelectric crossover
• Nonequilibrium electrical, thermal and spin transport in open quantum systems of topological superconductors, semiconductors and metals
• Nonequilibrium finite frequency resonances in differential quantum noise driven by Majorana interference
• Majorana Thermoelectrics and Refrigeration
• Thermoelectric fluctuations of interfering Majorana bound states
• Fluctuation response of a minimal Kitaev chain in nonequilibrium states
• Revealing universal Majorana fractionalization using differential shot noise and conductance in nonequilibrium states controlled by tunneling phases