CMSP Seminar tomorrow @ICTP Tuesday 28 May at 2:00 p.m. - Norman J.M. HORING

[CM Section]

Condensed Matter  Physics Seminar

Kindly note change of venue: Lundqvist Lecture Room at 2 p.m.

Tuesday 28 May at 2:00 p.m.
Lundqvist Lecture Room, lower level 1, Adriatico Guest House

Norman J.M. HORING
Dept. of Physics, Stevens Institute of Technology, Hoboken NJ, U.S.A.

'Quantum Dynamics and Statistical Thermodynamics of Nanostructured
Dirac-like Materials in a High Magnetic Field'

Abstract:
We discuss in detail the effects of Landau quantization  on the quantum 
dynamics and
statistical thermodynamics of Dirac-like materials in a high magnetic 
field. This discussion
addresses the Group VI Dichalcogenides and Graphene in particular, but 
it also extends
to the "Diced Lattice" as well as Silicene and Topological Insulators, 
etc. We also treat the
role of nanostructures in Dirac-like materials, including quantum dots, 
quantum wires and
a lattice of anti-dots.

Starting with the derivation of the Landau-quantized  "relativistic" 
Green's  function for
Dirac-like materials in position and momentum representations, as well 
as in eigenfunction
representation,the associated energy spectrum in a high magnetic field 
is discussed.
Furthermore, we develop the Green's functions for a model quantum dot in 
Graphene and
a model quantum wire in the Group VI Dichalcogenides,  examining their 
Landau quantized
spectra as well. We also treat the case of a periodic lattice of 
anti-dots in the Dichalcogenides,
tracing in detail the development  of Landau minibands, with an explicit 
derivation of the
Green's function for "relativistic" carriers in the lattice in a high 
magnetic field.

In addition to the above-cited quantum dynamical stndies of "Dirac-like" 
materials (and spectra)
in a high magnetic field we have also examined their statistical 
thermodynamics, developing
the associated thermodynamic Green's function and spectral weight 
/matrix /subject to Landau
quantization.  With this we have determined the Helmholtz Free Energy, 
the Grand Partition
Function as well as the ordinary Partition Function and the Entropy for 
the Dichalcogenides and
the Diced Lattice in a high magnetic field /explicitly; /and have 
employed these to evaluate the
magnetization of the "Dirac-like" materials in both degenerate and non­ 
degenerate statistical
regimes, replete with de Haas-van Alphen oscillatory phenomenology (in 
the degenerate case).