Dear All,
I am trying to do recreate the one dimensional energy bands [fig 1] in the
paper "Quantum Spin Hall effect in Graphene" by C. L. Kane (Ref 1). For it I
need to give kpoints path as 0 to pi/a to 2pi/a.
So is this format correct
KPOINTS {tpiba_b}
2
0.0 0.0 0.0 100
1.0 0.0 0.0 100
OR
KPOINTS {tpiba_b}
3
0.0 0.0 0.0 50
0.5 0.0 0.0 50
1.0 0.0 0.0 50
OR
I am completely wrong
as in tpiba_b the band structure is defined in units of 2pi/a, Please do help.
Regards,
Ghadiyali Mohammed Kader.
Ref1: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.95.226801
Quantum Spin Hall Effect in
Graphene<https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.95.226801>
journals.aps.org
We study the effects of spin orbit interactions on the low energy electronic
structure of a single plane of graphene. We find that in an experimentally
accessible low temperature regime the symmetry allowed spin orbit potential
converts graphene from an ideal two-dimensional semimetallic state to a quantum
spin Hall insulator. This novel electronic state of matter is gapped in the
bulk and supports the transport of spin and charge in gapless edge states that
propagate at the sample boundaries. The edge states are nonchiral, but they are
insensitive to disorder because their directionality is correlated with spin.
The spin and charge conductances in these edge states are calculated and the
effects of temperature, chemical potential, Rashba coupling, disorder, and
symmetry breaking fields are discussed.
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