Triangular lattice exciton model
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arXiv
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| Format: | Preprint |
| Published: |
2015
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| _version_ | 1866913111435378688 |
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| author | Gunlycke, Daniel Tseng, Frank |
| author_facet | Gunlycke, Daniel Tseng, Frank |
| contents | We present a minimalistic equilateral triangular lattice model, from which we derive electron and exciton band structures for semiconducting transition-metal dichalcogenides. With explicit consideration of the exchange interaction, this model is appropriate across the spectrum from Wannier to Frenkel excitons. The single-particle contributions are obtained from a nearest-neighbor tight-binding model parameterized using the effective mass and spin-orbit coupling. The solutions to the characteristic equation, computed in direct space, are in qualitative agreement with first-principles calculations and highlight the inadequacy of the two-dimensional hydrogen model to describe the lowest-energy exciton bands. The model confirms the lack of subshell degeneracy and shows that the A-B exciton split depends on the electrostatic environment as well as the spin-orbit interaction. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1504_04040 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Triangular lattice exciton model Gunlycke, Daniel Tseng, Frank Mesoscale and Nanoscale Physics We present a minimalistic equilateral triangular lattice model, from which we derive electron and exciton band structures for semiconducting transition-metal dichalcogenides. With explicit consideration of the exchange interaction, this model is appropriate across the spectrum from Wannier to Frenkel excitons. The single-particle contributions are obtained from a nearest-neighbor tight-binding model parameterized using the effective mass and spin-orbit coupling. The solutions to the characteristic equation, computed in direct space, are in qualitative agreement with first-principles calculations and highlight the inadequacy of the two-dimensional hydrogen model to describe the lowest-energy exciton bands. The model confirms the lack of subshell degeneracy and shows that the A-B exciton split depends on the electrostatic environment as well as the spin-orbit interaction. |
| title | Triangular lattice exciton model |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/1504.04040 |