Electric field-controlled rippling of graphene.

ar X iv : 1 10 4 . 00 51 v 1 [ co nd - m at . m es - h al l ] 3 1 M ar 2 01 1 Band structures of bilayer graphene superlattices

We formulate a low energy effective Hamiltonian to study superlattices in bilayer graphene (BLG). We use this to show that a one dimensional (1D) periodic modulation of the chemical potential or the electric field perpendicular to the layers leads to zero energy anisotropic massless Dirac fermions and finite energy Dirac points. The electric field superlattice is shown to map onto a coupled cha...

Electronic and Optical Properties of the Graphene and Boron Nitride Nanoribbons in Presence of the Electric Field

Abstract: In this study, using density functional theory and the SIESTA computationalcode, we investigate the electronic and optical properties of the armchair graphenenanoribbons and the armchair boron nitride nanoribbons of width 25 in the presence of atransverse external electric field. We have observed that in the absence of the electricfield, these structures are se...

Electric-Field-Induced Triplet to Singlet Transition in Size-2 Trigonal Zigzag Graphene Nanoflake

Using Hartree-Fock Su-Sheriffer-Heeger (HF-SSH) model, we have studied the dependence of the energies of the ground (magnetic triplet state) and the first exited (nonmagnetic singlet state) states of the size-2 trigonal zigzag graphene nanoflake (size-2 NF) on the intensity of an external in plane static electric field at zero temperature. We identify a transition from the magnetic triplet stat...

Entropic effects of thermal rippling on van der Waals interactions between monolayer graphene and a rigid substrate

Thermomechanics of monolayer graphene: Rippling, thermal expansion and elasticity

Thermomechanical properties of monolayer graphene with thermal fluctuation are studied by both statistical mechanics analysis and molecular dynamics (MD) simulations. While the statistical mechanics analysis in the present study is limited by a harmonic approximation, significant anharmonic effects are revealed by MD simulations. The amplitude of out-ofplane thermal fluctuation is calculated fo...