Landau levels and snake states of pseudo-spin-1 Dirac-like electrons in gapped Lieb lattices

0566554 - ÚJF 2024 RIV GB eng J - Journal Article
Jakubský, Vít - Zelaya, Kevin
Landau levels and snake states of pseudo-spin-1 Dirac-like electrons in gapped Lieb lattices.
Journal of Physics-Condensed Matter. Roč. 35, č. 2 (2023), č. článku 025302. ISSN 0953-8984. E-ISSN 1361-648X
R&D Projects: GA MŠMT EF18_053/0017163
Institutional support: RVO:61389005
Keywords : two-dimensional lattice * pseudo-spin-1 Dirac equation * Landau levels * snake states * Cardano's formula * flat band
OECD category: Condensed matter physics (including formerly solid state physics, supercond.)
Impact factor: 2.7, year: 2022
Method of publishing: Limited access
https://doi.org/10.1088/1361-648X/ac9e84

This work reports the three-band structure associated with a Lieb lattice with arbitrary nearest and next-nearest neighbors hopping interactions. For specific configurations, the system admits a flat band located between two dispersion bands, where three inequivalent Dirac valleys are identified. Furthermore, quasi-particles are effectively described by a spin-1 Dirac-type equation. Under external homogeneous magnetic fields, the Landau levels are exactly determined as the third-order polynomial equation for the energy can be solved using Cardano's formula. It is also shown that an external anti-symmetric field promotes the existence of current-carrying states, so-called snake states, confined at the interface where the external field changes its sign.
Permanent Link: https://hdl.handle.net/11104/0337873