Browsing by Author "Korniyenko, Y."

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Ballistic transport in graphene beyond linear response
(2010-01-15)
Rosenstein, B.
;
Lewkowicz, M.
;
Kao, H. C.
;
Korniyenko, Y.
;
電子物理學系
The process of coherent creation of particle-hole excitations by an electric field in graphene is quantitatively described beyond linear response. We calculate the evolution of current density, number of pairs and energy in ballistic regime for electric field E using the tight-binding model. While for ballistic flight times smaller than t(nl)proportional to E(-1/2) current is linear in E and independent of time, for larger ballistic times the current increases after t(nl) as J proportional to E(3/2)t and finally at yet larger times (t > t(B) proportional to E(-1)) Bloch oscillations set in. It is shown that the number of pairs follows the 2D generalization of the Schwinger's creation rate n proportional to E(3/2) only on certain time segments with a prefactor different from that obtained using the asymptotic formula.
Dynamical approach to ballistic transport in graphene
(2011-01-01)
Kao, H. C.
;
Lewkowicz, M.
;
Korniyenko, Y.
;
Rosenstein, B.
;
電子物理學系
The process of the coherent creation of particle-hole excitations by an electric field in graphene is quantitatively described beyond linear response We calculate the evolution of the current density and the number of pairs in the ballistic regime using the tight binding model While for small electric fields the I-V curve is linear characterized by the universal minimal resistivity sigma = pi/2(e(2)/h) for larger fields after a certain time interval the linear regime crosses over to a quadratic one and finally at larger times Bloch oscillations set in (C) 2010 Elsevier BV All rights reserved