Majorana fermion induced power-law scaling in the violations of the Wiedemann-Franz law
arXiv:2309.05492 · doi:10.1063/5.0236520
Abstract
Violation of the Wiedemann-Franz law in a 2D topological insulator due to Majorana bound states is studied via the Lorenz ratio in the single-particle picture. We study the scaling of the Lorenz ratio in the presence and absence of Majorana bound states with inelastic scattering modeled using a Buttiker voltage-temperature probe. We compare our results with that seen in a quantum dot junction in the Luttinger liquid picture operating in the topological Kondo regime. We explore the scaling of the Lorentz ratio in our setup when either phase and momentum relaxation or phase relaxation is present. This scaling differs from that predicted by the Luttinger liquid picture for both uncoupled and coupled Majorana cases.
15 pages, 4 figures, 1 table, revised version accepted for publication in Journal of Applied Physics
References in corpus (12)
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Observing Majorana Bound States in p-wave Superconductors Using Noise Measurements in Tunneling Experiments
- Observation of a Robust Zero-energy Bound State in Iron-based Superconductor Fe(Te,Se)
- Topological Kondo effect with Majorana fermions
- Geometry of quantum phase transitions
- Visualization of Topological Boundary Modes Manifesting Topological Nodal-Point Superconductivity
- Voltage and dephasing probes: a full counting statistics discussion
- Thermoelectric transport through Majorana bound states and violation of Wiedemann-Franz law
- Induced superconducting correlations in the quantum anomalous Hall insulator
- Violation of the Wiedemann-Franz law in the Topological Kondo model
- Probing the topological character of superconductors via non-local Hanbury-Brown and Twiss correlations
- Photonic cross-noise spectroscopy of Majorana bound states