Lieb lattices and pseudospin-1 dynamics under barrier- and well-like electrostatic interactions

0577211 - ÚJF 2024 RIV NL eng J - Článek v odborném periodiku
Jakubský, Vít - Zelaya, Kevin
Lieb lattices and pseudospin-1 dynamics under barrier- and well-like electrostatic interactions.
Physica E: Low-Dimensional Systems and Nanostructures. Roč. 152, AUG (2023), č. článku 115738. ISSN 1386-9477. E-ISSN 1873-1759
Grant CEP: GA MŠMT EF18_053/0017163
Institucionální podpora: RVO:61389005
Klíčová slova: Pseudospin-1 Hamiltonian * Lieb lattice * Electron localization * Resonant transmission * Super-Klein tunneling * Flat-band solutions
Obor OECD: Condensed matter physics (including formerly solid state physics, supercond.)
Impakt faktor: 3.3, rok: 2022
Způsob publikování: Open access
https://doi.org/10.1016/j.physe.2023.115738

This work considers the confining and scattering phenomena of electrons in a Lieb lattice subjected to the influence of a rectangular electrostatic barrier. In this setup, hopping amplitudes between nearest neighbors in orthogonal directions are considered different, and the next-nearest neighbor interaction describes spin-orbit coupling. This makes it possible to confine electrons and generate bound states, the exact number of which is exactly determined for null momentum parallel to the barrier. In such a case, it is proved that one even and one odd bound state is always generated, and the number of bound states increases for non-null and increasing values of the parallel momentum. That is, current-carrying states are generated. In the scattering regime, the energies are determined so that resonant tunneling occurs. The existence of perfect tunneling energy in the form of super-Klein tunneling is proved to exist regardless of the bang gap opening. Finally, it is shown that perfect reflection appears when solutions are coupled to the intermediate flat-band solution.
Trvalý link: https://hdl.handle.net/11104/0346429