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.

Electromagnetic wave transmission through a subwavelength nano-hole in a two-dimensional plasmonic layer.

An integral equation is formulated to describe electromagnetic wave transmission through a subwavelength nano-hole in a thin plasmonic sheet in terms of the dyadic Green's function for the associated Helmholtz problem. Taking the subwavelength radius of the nano-hole to be the smallest length of the system, we have obtained an exact solution of the integral equation for the dyadic Green's function analytically and in closed form. This dyadic Green's function is then employed in the numerical analysis of electromagnetic wave transmission through the nano-hole for normal incidence of the incoming wave train.

Aspects of the theory of graphene.

Following a brief review of the device-friendly features of graphene, recent work on its Green's functions with and without a normal magnetic field are discussed, for an infinite graphene sheet and also for a quantum dot, with analyses of the Landau-quantized energy spectra of the sheet and dot. The random phase approximation dielectric response of graphene is reviewed and discussed in connection with the van der Waals interactions of a graphene sheet with atoms/molecules and with a second graphene sheet in a double layer. Energy-loss spectroscopy for a graphene sheet subject to both parallel and perpendicular particle probes of its dynamic, non-local response properties are also treated.

Energy spectrum and density of states for a graphene quantum dot in a magnetic field.

In this paper, we determine the spectrum and density of states of a graphene quantum dot in a normal quantizing magnetic field. To accomplish this, we employ the retarded Green function for a magnetized, infinite-sheet graphene layer to describe the dynamics of a tightly confined graphene quantum dot subject to Landau quantization. Considering a δ((2))(r) potential well that supports just one subband state in the well in the absence of a magnetic field, the effect of Landau quantization is to 'splinter' this single energy level into a proliferation of many Landau-quantized states within the well.