%0 Journal Article %1 WOS:000265944200091 %A Barbier, Michael %A Vasilopoulos, P %A Peeters, F M %A Jr., Milton J Pereira %C ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA %D 2009 %I AMER PHYSICAL SOC %J PHYSICAL REVIEW B %K carrier conductivity; density dispersion electrical electronic graphene; mobility; of relations; states; structure; superlattices} {band %N 15 %R 10.1103/PhysRevB.79.155402 %T Bilayer graphene with single and multiple electrostatic barriers: Band structure and transmission %V 79 %X We evaluate the electronic transmission and conductance in bilayer graphene through a finite number of potential barriers. Further, we evaluate the dispersion relation in a bilayer graphene superlattice with a periodic potential applied to both layers. As a model we use the tight-binding Hamiltonian in the continuum approximation. For zero bias the dispersion relation shows a finite gap for carriers with zero momentum in the direction parallel to the barriers. This is in contrast to single-layer graphene where no such gap was found. A gap also appears for a finite bias. Numerical results for the energy spectrum, conductance, and the density of states are presented and contrasted with those pertaining to single-layer graphene.

@article{WOS:000265944200091, abstract = {We evaluate the electronic transmission and conductance in bilayer graphene through a finite number of potential barriers. Further, we evaluate the dispersion relation in a bilayer graphene superlattice with a periodic potential applied to both layers. As a model we use the tight-binding Hamiltonian in the continuum approximation. For zero bias the dispersion relation shows a finite gap for carriers with zero momentum in the direction parallel to the barriers. This is in contrast to single-layer graphene where no such gap was found. A gap also appears for a finite bias. Numerical results for the energy spectrum, conductance, and the density of states are presented and contrasted with those pertaining to single-layer graphene.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, author = {Barbier, Michael and Vasilopoulos, P and Peeters, F M and Jr., Milton J Pereira}, biburl = {https://www.bibsonomy.org/bibtex/2190141a121d5d8acfcaa149ec786fb6c/ppgfis_ufc_br}, doi = {10.1103/PhysRevB.79.155402}, interhash = {599c8078023addf8ac2d84f0b3c1f995}, intrahash = {190141a121d5d8acfcaa149ec786fb6c}, issn = {2469-9950}, journal = {PHYSICAL REVIEW B}, keywords = {carrier conductivity; density dispersion electrical electronic graphene; mobility; of relations; states; structure; superlattices} {band}, number = 15, publisher = {AMER PHYSICAL SOC}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Bilayer graphene with single and multiple electrostatic barriers: Band structure and transmission}, tppubtype = {article}, volume = 79, year = 2009 }