Dual Majorana universality in thermally induced nonequilibrium
arXiv:2003.05424 · doi:10.1103/PhysRevB.101.125417
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.
arXiv comment7 pages, 7 figures
References in corpus (37)
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Unpaired Majorana fermions in quantum wires
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Helical liquids and Majorana bound states in quantum wires
- New directions in the pursuit of Majorana fermions in solid state systems
- Observation of Electron-Hole Puddles in Graphene Using a Scanning Single Electron Transistor
- Exponential Protection of Zero Modes in Majorana Islands
- Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
- Realizing Majorana zero modes in superconductor-semiconductor heterostructures
- Introduction to topological superconductivity and Majorana fermions
- Quantized Majorana conductance
- Majorana Fermions and Topology in Superconductors
- Random-matrix theory of Majorana fermions and topological superconductors
- Nonlocality of Majorana Modes in Hybrid Nanowires
- Majorana bound states in non-homogeneous semiconductor nanowires
- Two terminal charge tunneling: Disentangling Majorana zero modes from partially separated Andreev bound states in semiconductor-superconductor heterostructures
- Fully gapped topological surface states in BiSe films induced by a d-wave high-temperature superconductor
- Probing Majorana Physics in Quantum Dot Shot Noise Experiments
- How to measure the entropy of a mesoscopic system via thermoelectric transport
- Distinguishing Majorana bound states from localized Andreev bound states by interferometry
- Weak measurement protocols for Majorana bound state identification
- Detecting the universal fractional entropy of Majorana zero modes
- Majorana tunneling entropy
- Thermoelectric transport through Majorana bound states and violation of Wiedemann-Franz law
- Current Correlations in a Majorana Beam Splitter
- Majorana-Kondo interplay in T-shaped double quantum dots
- Universal Majorana thermoelectric noise
- Majorana zero modes choose Euler numbers - revealed by full counting statistics
- 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
- Nonequilibrium Majorana fluctuations
- Finite-frequency noise in a topological superconducting wire
- Finite frequency noise in a normal metal - topological superconductor junction
- Compressibility as a probe of quantum phase transitions in topological superconductors
- 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