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A simple variational method for calculating energy and quantum capacitance of an electron gas with screened interactions
Brian Skinner, M. M. Fogler
We describe a variational procedure for calculating the energy of an electron gas in which the long-range Coulomb interaction is truncated by the screening effect of a nearby metal…
Magnetoelectric coupling, Berry phase, and Landau level dispersion in a biased bilayer graphene
L. M. Zhang, M. M. Fogler, D. P. Arovas
We study the energy spectrum of a graphene bilayer in the presence of transverse electric and magnetic fields. We find that the resulting Landau levels exhibit a nonmonotonic depen…
Apparent power-law behavior of conductance in disordered quasi-one-dimensional systems
A. S. Rodin, M. M. Fogler
Dependence of hopping conductance on temperature and voltage for an ensemble of modestly long one-dimensional wires is studied numerically using the shortest-path algorithm. In a w…
Screening in gated bilayer graphene via variational calculus
M. M. Fogler, E. McCann
We analyze the response of bilayer graphene to an external transverse electric field using a variational method. A previous attempt to do so in a recent paper by Falkovsky [Phys. R…
Effect of external conditions on the structure of scrolled graphene edges
M. M. Fogler, A. H. Castro Neto, F. Guinea
Characteristic dimensions of carbon nanoscrolls - "buckyrolls" - are calculated by analyzing the competition between elastic, van der Waals, and electrostatic energies for represen…