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

Jakubsky, V; Zelaya, K. ✉

English Article (Journal Article) Scientific
Published: JOURNAL OF PHYSICS-CONDENSED MATTER 0953-8984 1361-648X 35 (2) Paper: 025302 , 15 p. 2023
  • SJR Scopus - Condensed Matter Physics: Q2
Identifiers
Subjects:
  • Physical sciences
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.
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2025-01-04 14:34