1304.1594 (Ji Luo)

One-dimensional electronic solitons of graphene in an electromagnetic
field    [PDF]

Ji Luo

Electronic energy-eigen-states of graphene in an orthogonal electromagnetic field with relative magnitude beta=E/vf*B>=1 or in a pure electric field are obtained by differential-equation method. Gaussian wave packets of probability density are found to transform form two-dimensional solitons into one-dimension ones at beta=1, when beta increases form beta<1 into beta>1. The maximum number of one-dimensional solitons of a finite graphene in a field with beta>1 determines the energy levels. These energy levels and the velocity of solitons lead to nonlinear dependence of the current on Hall voltage for a field with beta>1 and step-like current-voltage curves for a pure electric field, according to the ballistic transport of solitons.

View original: http://arxiv.org/abs/1304.1594