Majorana tunneling entropy

Abstract

In thermodynamics a macroscopic state of a system results from a number of its microscopic states. This number is given by the exponent of the system's entropy $\exp (S)$. In non-interacting systems with discrete energy spectra, such as large scale quantum dots, $S$ as a function of the temperature has usually a plateau shape with integer values of $\exp (S)$ on these plateaus. Plateaus with non-integer values of $\exp (S)$ are fundamentally forbidden and would be thermodynamically infeasible. Here we investigate the entropy of a non-interacting quantum dot coupled via tunneling to normal metals with continuum spectra as well as to topological superconductors. We show that the entropy may have non-integer plateaus if the topological superconductors support weakly overlapping Majorana bound states. This brings a fundamental change in the thermodynamics of the quantum dot whose specific heat $c_V$ acquires low temperature Majorana peaks which should be absent according to the conventional thermodynamics. We also provide a fundamental thermodynamic understanding of the transport properties, such as the linear conductance. In general our results show that the thermodynamics of systems coupled to Majorana modes represents a fundamental physical interest with diverse applications depending on versatility of possible coupling mechanisms.

8 pages, 11 figures

References in corpus (11)

• 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
• Subtle leakage of a Majorana mode into a quantum dot
• Fully gapped topological surface states in Bi${}_2$Se${}_3$ films induced by a d-wave high-temperature superconductor
• Probing Majorana Physics in Quantum Dot Shot Noise Experiments
• Interaction effects on a Majorana zero mode leaking into a quantum dot
• Heat capacity anomaly at the quantum critical point of the Transverse Ising Magnet CoNb_2O_6
• Interplay between Kondo and Majorana interactions in quantum dots
• Ettingshausen effect due to Majorana modes

Cited by in corpus (41)

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• How to measure the entropy of a mesoscopic system via thermoelectric transport
• Roadmap towards Majorana qubits and nonabelian physics in quantum dot-based minimal Kitaev chains
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• Detecting the universal fractional entropy of Majorana zero modes
• Entropy measurement of a strongly coupled quantum dot
• Universal Majorana thermoelectric noise
• Majorana finite frequency nonequilibrium quantum noise
• Dynamic Majorana resonances and universal symmetry of nonequilibrium thermoelectric quantum noise
• Robustness of the Kondo effect in a quantum dot coupled to Majorana zero modes
• Nonequilibrium Majorana fluctuations
• Distinguishing between Topological and Quasi Majorana Zero Modes with a Dissipative Resonant Level
• Majorana entropy revival via tunneling phases
• Majorana ensembles with fractional entropy and conductance in nanoscopic systems
• Controlling the entropy of a single-molecule junction
• Majorana bound states in a superconducting Rashba nanowire in the presence of antiferromagnetic order
• Absence of supercurrent sign reversal in a topological junction with a quantum dot
• Majorana differential shot noise and its universal thermoelectric crossover
• Electronic measurements of entropy in meso- and nanoscale systems
• Multi-impurity chiral Kondo model: correlation functions and anyon fusion rules
• Entanglement measures of Majorana bound states
• Dual Majorana universality in thermally induced nonequilibrium
• 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
• Strong Coupling and non-Markovian Effects in the Statistical Notion of Temperature
• Keldysh functional renormalization group for electronic properties of graphene
• Measuring topological entanglement entropy using Maxwell relations
• Direct Entropy Measurement in a Mesoscopic Quantum System
• Entropy spectroscopy of a bilayer graphene quantum dot
• Biasing topological charge injection in topological matter
• Local Information Flow in Quantum Quench Dynamics
• Majorana Thermoelectrics and Refrigeration
• Detector-tuned overlap catastrophe in quantum dots
• Fingerprints of Majorana bound states in quantum-rings
• Quench-Probe Setup as Analyzer of Fractionalized Entanglement Spreading
• Thermoelectric fluctuations of interfering Majorana bound states
• Back-action effects in charge detection
• 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
• Fluctuation response of a minimal Kitaev chain in nonequilibrium states