@article{ISI:000340656500009,
 abstract = {We use the bulk Hamiltonian for a three-dimensional topological
insulator such as Bi-2 Se-3 to study the states which appear on its
various surfaces and along the edge between two surfaces. We use both
analytical methods based on the surface Hamiltonians (which are derived
from the bulk Hamiltonian) and numerical methods based on a lattice
discretization of the bulk Hamiltonian. We find that the application of
a potential barrier along an edge can give rise to states localized at
that edge. These states have an unusual energy-momentum dispersion which
can be controlled by applying a potential along the edge; in particular,
the velocity of these states can be tuned to zero. The scattering and
conductance across the edge is studied as a function of the edge
potential. We show that a magnetic field in a particular direction can
also give rise to zero energy states on certain edges. We point out
possible experimental ways of looking for the various edge states.},
 article-number = {315009},
 author = {Deb, Oindrila and Soori, Abhiram and Sen, Diptiman},
 doi = {10.1088/0953-8984/26/31/315009},
 eissn = {1361-648X},
 issn = {0953-8984},
 journal = {JOURNAL OF PHYSICS-CONDENSED MATTER},
 month = {AUG 6},
 number = {31},
 orcid-numbers = {Soori, Abhiram/0000-0003-2756-0852},
 researcherid-numbers = {Deb, Oindrila/AAV-6760-2020
},
 times-cited = {18},
 title = {Edge states of a three-dimensional topological insulator},
 unique-id = {ISI:000340656500009},
 volume = {26},
 year = {2014}
}