Journal
JOURNAL OF PHYSICS-CONDENSED MATTER
Volume 29, Issue 11, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1361-648X/aa57e0
Keywords
edge states; multi-orbital model; non-linear dispersion; low-buckled structure
Categories
Funding
- Core Research for Evolutional Science and Technology (CREST) of the Japan Science and Technology Corporation (JST)
- JSPS KAKENHI [JP25107005, JP16K13845, JP26247064]
- [JP15H05851]
- [JP15H05855]
- [JP15H05853]
- [JP15K13498]
- Grants-in-Aid for Scientific Research [26247064, 15H05853, 16K13845, 15H05855, 25107005] Funding Source: KAKEN
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We investigate the energy dispersion of the edge states in zigzag silicene, germanene and stanene nanoribbons with and without hydrogen termination based on a multi-orbital tight-binding model. Since the low buckled structures are crucial for these materials, both the pi and sigma orbitals have a strong influence on the edge states, different from the case for graphene nanoribbons. The obtained dispersion of helical edge states is nonlinear, similar to that obtained by first-principles calculations. On the other hand, the dispersion derived from the single-orbital tight-binding model is always linear. Therefore, we find that the non-linearity comes from the multi-orbital effects, and accurate results cannot be obtained by the single-orbital model but can be obtained by the multi-orbital tight-binding model. We show that the multi-orbital model is essential for correctly understanding the dispersion of the edge states in tetragen nanoribbons with a low buckled geometry.
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