Hi guys,
This is zhenhua wu, I am asking for some help about the KP hamiltonian of a 2D HgTe/CdTe well.
The BHZ hamiltonian is very successful in describing the TI edge states in a 2D HgTe/CdTe well. Recently people have proved the existence of the weyl semimetal phase in a 3D HgTe crystal with stress (Nat. Comm. 2016, 7,11136) and also in the 2D HgTe/CdTe well undergoing a phase transition from the aforementioned TI state by tuning the well thickness (Phys. Rev. Lett. 2017, 118, 156401). A tight binding hamiltonian is given in the ref prl 118, 156401. Is there a 4x4 BHZ kp hamiltonian for HgTe well weyl semimetal which has the same format as that describs the TI state but just with different parameters, like changing the value of M? I hope to get this hamiltonian and directly apply it in the transport simulation utilizing the scattering matrix formalism. Thanks!
You should elaborate more and be more specific. On the basis of what I have understood from your above text, I can just say that M is a parameter of the model and can therefore be varied. The variation is to be in a finite range however, specified in the paper by König, et al., J. Phys. Soc. Jpn 77, 031007 (2008) -- link attached below. You may also wish to consult the following book:
M Franz, and L Molenkamp, Eds, Topological Insulators (Elsevier, Amsterdam, 2013).
http://dx.doi.org/10.1143/JPSJ.77.031007
Hi Behnam, Thanks a lot for your clue! I will check it and share the progress with you.
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