@article{ISI:000397920700003,
 abstract = {We use both continuum and lattice models to study the energy-momentum
dispersion and the dynamics of a wave packet for an electron moving in
graphene in the presence of spin-orbit couplings and either a single
potential barrier or a periodic array of potential barriers. Both
Kane-Mele and Rashba spin-orbit couplings are considered. A number of
special things occur when the Kane-Mele and Rashba couplings are equal
in magnitude. In the absence of a potential, the dispersion then
consists of both massless Dirac and massive Dirac states. A periodic
potential is known to generate additional Dirac points; we show that
spin-orbit couplings generally open gaps at all those points, but if the
two spin-orbit couplings are equal, some of the Dirac points remain
gapless. We show that the massless and massive states respond
differently to a potential barrier; the massless states transmit
perfectly through the barrier at normal incidence while the massive
states reflect from it. In the presence of a single potential barrier,
we show that there are states localized along the barrier. Finally, we
study the time evolution of a wave packet in the presence of a periodic
potential. We discover special points in momentum space where there is
almost no spreading of a wave packet; there are six such points in
graphene when the spin-orbit couplings are absent.},
 article-number = {155303},
 author = {Seshadri, Ranjani and Sen, Diptiman},
 doi = {10.1088/1361-648X/aa605b},
 eissn = {1361-648X},
 issn = {0953-8984},
 journal = {JOURNAL OF PHYSICS-CONDENSED MATTER},
 month = {APR 20},
 number = {15},
 times-cited = {3},
 title = {Electron dynamics in graphene with spin-orbit couplings and periodic
potentials},
 unique-id = {ISI:000397920700003},
 volume = {29},
 year = {2017}
}