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Local density of states in disordered graphene
Klaus Ziegler, Balázs Dóra, Peter Thalmeier
We study two lattice models, the honeycomb lattice (HCL) and a special square lattice (SQL), both reducing to the Dirac equation in the continuum limit. In the presence of disorder…
Random gap model for graphene and graphene bilayers
K. Ziegler
The effect of a randomly fluctuating gap, created by a random staggered potential, is studied in a monolayer and a bilayer of graphene. The density of states, the one-particle scat…
Anderson localization in a correlated fermionic mixture
O. Fialko, K. Ziegler
A mixture of two fermionic species with different masses is studied in an optical lattice. The heavy fermions are subject only to thermal fluctuations, the light fermions also to q…
Rabi Oscillations in Landau-Quantized Graphene
B. Dóra, K. Ziegler, P. Thalmeier +1
We investigate the relation between the canonical model of quantum optics, the Jaynes-Cummings Hamiltonian and Dirac fermions in quantizing magnetic field. We demonstrate that Rabi…
Long-range correlations in disordered graphene
K. Ziegler
The appearence of long-range correlations near the Dirac point of a Dirac-like spinor model with random vector potential is studied. These correlations originate from a spontaneous…
Nonlinear electromagnetic response of graphene: Frequency multiplication and the self-consistent-field effects
S. A. Mikhailov, K. Ziegler
Graphene is a recently discovered carbon based material with unique physical properties. This is a monolayer of graphite, and the two-dimensional electrons and holes in it are desc…