Landau quantized dynamics and spectrum of the diced lattice.

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 [Formula: see text] ([Formula: see text] is the characteristic speed for the diced lattice) which differs significantly from the nonrelativistic linear dependence of ϵ on B, and is similar to the corresponding [Formula: see text] dependence of other Dirac materials (graphene, group VI dichalcogenides).

Statistical thermodynamics and magnetic moments of Landau quantized group VI dichalcogenides.

This work is focused on the determination of the Helmholtz free energy and the magnetic moments of the 'Dirac-like' group VI dichalcogenides subject to Landau quantization. We employ a technique described by Wilson to relate the free energy to the Green's function for the dichalcogenides in a high magnetic field, which was recently evaluated explicitly in terms of elementary functions. In the course of this analysis, the partition function is determined as a function of the magnetic field as well.