Finite temperature effects on Majorana bound states in chiral $p$-wave superconductors

Abstract

We study Majorana fermions bound to vortex cores in a chiral $p$-wave superconductor at temperatures non-negligible compared to the superconducting gap. Thermal occupation of Caroli de Gennes-Matricon states, below the full gap, causes the free energy difference between the two fermionic parity sectors to decay algebraically with increasing temperature. The power law acquires an additional factor of $T^{-1}$ for each bound state thermally excited. The zero-temperature result is exponentially recovered well below the minigap (lowest-lying CdGM level). Our results suggest that temperatures larger than the minigap may not be disastrous for topological quantum computation. We discuss the prospect of precision measurements of pinning forces on vortices as a readout scheme for Majorana qubits.

arXiv comment11 pages, 8 figures; submission to SciPost

References in corpus (49)

• Non-Abelian Anyons and Topological Quantum Computation
• 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
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Classification of topological insulators and superconductors in three spatial dimensions
• New directions in the pursuit of Majorana fermions in solid state systems
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Evidence for Majorana bound state in an iron-based superconductor
• Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
• Scale-Invariant Dissipationless Chiral Transport in Magnetic Topological Insulators beyond the Two-Dimensional Limit
• Electrically detected interferometry of Majorana fermions in a topological insulator
• Majorana mode in vortex core of Bi2Te3/NbSe2 topological insulator-superconductor heterostructure
• Probing Neutral Majorana Fermion Edge Modes with Charge Transport
• Quantized Majorana conductance
• Precise quantization of anomalous Hall effect near zero magnetic field
• Probing Atomic Structure and Majorana Wavefunctions in Mono-Atomic Fe-chains on Superconducting Pb-Surface
• Topological Quantum Computation Based on Chiral Majorana Fermions
• Spatial Fluctuations of Helical Dirac Fermions on the Surface of Topological Insulators
• Majorana qubit decoherence by quasiparticle poisoning
• Universal Quantum Computation with the nu=5/2 Fractional Quantum Hall State
• Robust and clean Majorana zero mode in the vortex core of high-temperature superconductor (Li0.84Fe0.16)OHFeSe
• Common Electronic Origin of Superconductivity in (Li,Fe)OHFeSe Bulk Superconductor and Single-Layer FeSe/SrTiO3 Films
• Parity lifetime of bound states in a proximitized semiconductor nanowire
• Splitting of Majorana modes due to intervortex tunneling in a p + ip superconductor
• Fermion-parity anomaly of the critical supercurrent in the quantum spin-Hall effect
• Surface electronic structure and isotropic superconducting gap in (Li${}_{0.8}$Fe${}_{0.2}$)OHFeSe
• Observation of the zero Hall plateau in a quantum anomalous Hall insulator
• Tunneling of anyonic Majorana excitations in topological superconductors
• Zero modes of two-dimensional chiral p-wave superconductors
• Probing dynamics and pinning of single vortices in superconductors at nanometer scales
• Topological quantum computation away from the ground state with Majorana fermions
• Controlled Manipulation of Individual Vortices in a Superconductor
• Optical Manipulation of Single Flux Quanta
• Proximity induced superconductivity by Bi in topological $B{i}_{2}T{e}_{2}Se$ and $B{i}_{2}S{e}_3$ films: Evidence for a robust zero energy bound state possibly due to Majorana Fermions
• BCS Superconductivity with Fixed Number Parity
• Robustness of Majorana Fermion induced Fractional Josephson Effect
• Mechanical control of individual superconducting vortices
• Deterministic creation and braiding of chiral edge vortices
• Majorana fermions of a two-dimensional Px+iPy superconductor
• Majorana-based fermionic quantum computation
• Vortex structures and zero energy states in the BCS-to-BEC evolution of p-wave resonant Fermi gases
• Tunneling spectrum of a pinned vortex with a robust Majorana state
• Structure and consequences of vortex-core states in p-wave superfluids
• Size Constraints on Majorana Beamsplitter Interferometer: Majorana Coupling and Surface-Bulk Scattering

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• Geometry-independent tight-binding method for massless Dirac fermions in two dimensions
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