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.

arXiv comment12 pages, 6 figures

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• 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