Landau Quantized Dynamics and Spectrum of the Diced Lattice
| Autor: | Njm Horing |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Physics
Discretization Condensed Matter - Mesoscale and Nanoscale Physics FOS: Physical sciences Equations of motion 02 engineering and technology Landau quantization Eigenfunction 021001 nanoscience & nanotechnology Condensed Matter Physics 01 natural sciences Magnetic field Lattice (order) Mesoscale and Nanoscale Physics (cond-mat.mes-hall) 0103 physical sciences Laguerre polynomials Elementary function General Materials Science 010306 general physics 0210 nano-technology Mathematical physics |
| Popis: | In this work the role of magnetic Landau quantization in the dynamics and spectrum of diced lattice charge carriers is studied in terms of the associated pseudospin 1 Green’s function. The equations of motion for the 9 matrix elements of this Green’s function are formulated in position/frequency representation and are solved explicitly in terms of a closed form integral representation involving only elementary functions. The latter is subsequently expanded in a Laguerre eigenfunction series whose frequency poles identify the discretized energy spectrum for the Landau-quantized diced lattice as ϵ n = ± 2 ( 2 n + 1 ) α 2 e B ( α 2 is the characteristic speed for the diced lattice) which differs significantly from the nonrelativistic linear dependence of ϵ n on B, and is similar to the corresponding B − dependence of other Dirac materials (graphene, group VI dichalcogenides). |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|