Proceedings of nanoGe September Meeting 2017 (NFM17)
Publication date: 20th June 2016
Graphene is probably the most fascinating material ever discovered, but it has a drawback: it does not exhibit the quantum spin Hall effect. By creating honeycomb lattices of compounds other than carbon, novel materials with unexpected properties may emerge. A key question is: if we build a honeycomb lattice out of semiconducting nanocrystals, is it going to behave like graphene or like the semiconducting building blocks?
I will show that these systems, which were recently experimentally synthesized [1], combine the best of the two materials. They exhibit a gap at zero energy, as well as Dirac cones at finite energies. In addition, a honeycomb lattice made of CdSe nanocrystals displays topological properties in the valence band [2], whereas for HgTe very large topological gaps are predicted to occur in the conduction p-bands [3]. These artificial materials open the possibility to engineer high-orbital physics with Dirac electrons and to realize quantum (spin) Hall phases at room-T [3].
Then, I will discuss the effect of dynamical electromagnetic interactions in massive and massless 2D systems like transition-metal dichalcogenides and graphene. By using the pseudo-QED approach, quantized edge states emerge and give rise, respectively, to a quantum Hall Effect (massive) [4] and a quantum Valley Hall effect (massless) [5], as a consequence of the parity anomaly.
[1] M. P. Boneschanscher et al., Science 344, 1377 (2014).
[2] E. Kalesaki et al., Phys. Rev. X 4, 011010 (2014).
[3] W. Beugeling et al., Nature Communications 6, 6316 (2015).
[4] L.O. Nascimento et al., arXiv:1702.01573
[5] E. C. Marino et al., Phys. Rev. X 5, 011040 (2015).