Majorana ensembles with fractional entropy and conductance in nanoscopic systems

Abstract

Quantum thermodynamics is a promising route to unambiguous detections of Majorana bound states. Being fundamentally different from quantum transport, this approach reveals unique Majorana thermodynamic behavior and deepens our insight into Majorana quantum transport itself. Here we demonstrate that a nanoscopic system with topological superconductors produces a remarkable accumulation of Majorana thermodynamic states in wide ranges of Majorana tunneling phases by means of increasing its temperature $T$. Revealing this physical behavior is twofold beneficial. First, it significantly reduces the dependence of the entropy on the tunneling phases which become almost irrelevant in experiments. Second, the fractional Majorana entropy $S_M^{(2)}=k_B\ln (2^{\frac{3}{2}})$ may be observed at high temperatures substantially facilitating experiments. Analyzing quantum transport, we predict that when the temperature increases, the above thermodynamic behavior will induce an anomalous increase of the linear conductance from vanishing values up to the unitary fractional Majorana plateau $G_M=e^2/2h$ extending to high temperatures.

8 pages, 5 figures

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• Introduction to topological superconductivity and Majorana fermions
• Probing Majorana Physics in Quantum Dot Shot Noise Experiments
• Thermoelectric transport through Majorana bound states and violation of Wiedemann-Franz law
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Cited by in corpus (14)

• Roadmap towards Majorana qubits and nonabelian physics in quantum dot-based minimal Kitaev chains
• A robust protocol for entropy measurement in mesoscopic circuits
• 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
• Master equation approach for transport through Majorana zero modes
• Nonequilibrium finite frequency resonances in differential quantum noise driven by Majorana interference
• Phonon-Assisted Tunneling through Quantum Dot Systems Connected to Majorana Bound States
• Phase-controlled quantum transport signatures in a quantum dot-Majorana hybrid ring system
• 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