Coupled system of Dirac Fermions with different Fermi velocities via composites of SUSY operators

DOI10.1016/j.physleta.2022.128053zbMath1487.81164arXiv2112.12449OpenAlexW4221089059MaRDI QIDQ2119356

Kevin Zelaya, Vít Jakubský

Publication date: 29 March 2022

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.12449

zbMATH Keywords

supersymmetryDirac fermionscoupled systemsFermi velocitybound states in the continuumDirac materials

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Two-body problems (70F05) Supersymmetry and quantum mechanics (81Q60) Superalgebras (17A70) Fermionic systems in quantum theory (81V74)

Uses Software

• DLMF

Cites Work

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• Aharonov-Bohm effect on AdS\(_2\) and nonlinear supersymmetry of reflectionless Pöschl-Teller system
• The Bogoliubov-de Gennes system, the AKNS hierarchy, and nonlinear quantum mechanical supersymmetry
• Intertwining technique for the one-dimensional stationary Dirac equation
• Bound states in continuum of complex potentials generated by supersymmetric quantum mechanics
• Darboux transformation of the nonstationary Dirac equation
• A simple separable Hamiltonian having bound states in the continuum
• Darboux transformations for a generalized Dirac equation in two dimensions
• Carbon nanotubes in an inhomogeneous transverse magnetic field: exactly solvable model
• Peculiarities of the hidden nonlinear supersymmetry of the Pöschl–Teller system in the light of the Lamé equation
• Mathematical concepts of quantum mechanics.
• Open quantum dots: Resonances from perturbed symmetry and bound states in strong magnetic fields