Behavior of Andreev states for topological phase transition

DOI10.1134/S0040577921070102zbMath1484.82071OpenAlexW3186681787MaRDI QIDQ2047689

T. S. Tinyukova, Yu. P. Chuburin

Publication date: 23 August 2021

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577921070102

zbMATH Keywords

resonance stateMajorana bound stateAndreev bound stateBogoliubov-de Gennes Hamiltoniansuperconducting gap

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Phase transitions (general) in equilibrium statistical mechanics (82B26) Resonance in context of PDEs (35B34) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Quantum waveguides, quantum wires (82D77) Statistical mechanics of nanostructures and nanoparticles (82D80)

Cites Work

• Decay law for a quasistationary state of the Schrödinger operator for a crystal film
• On small perturbations of the Schrödinger operator with a periodic potential
• Existence of Majorana bound states in a superconducting nanowire near an impurity
• The role of Majorana-like bound states in the Andreev reflection and the Josephson effect in the case of a topological insulator
• Mutual transition of Andreev and Majorana bound states in a superconducting gap
• Majorana states in a p-wave superconducting nanowire

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