Inheritance of the exciton geometric structure from Bloch electrons in two-dimensional layered semiconductors
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866914707778043904 |
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| author | Tang, Jianju Wang, Songlei Yu, Hongyi |
| author_facet | Tang, Jianju Wang, Songlei Yu, Hongyi |
| contents | We theoretically studied the exciton geometric structure in layered semiconducting transition metal dichalcogenides. Based on a three-orbital tight-binding model for Bloch electrons which incorporates their geometric structures, an effective exciton Hamiltonian is constructed and solved perturbatively to reveal the relation between the exciton and its electron/hole constituent. We show that the electron-hole Coulomb interaction gives rise to a non-trivial inheritance of the exciton geometric structure from Bloch electrons, which manifests as a valley-dependent center-of-mass anomalous Hall velocity of the exciton when two external fields are applied on the electron and hole constituents, respectively. The obtained center-of-mass anomalous velocity is found to exhibit a non-trivial dependence on the fields, as well as the wave function and valley index of the exciton. These findings can serve as a general guide for the field-control of the valley-dependent exciton transport, enabling the design of novel quantum optoelectronic and valleytronic devices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_14856 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Inheritance of the exciton geometric structure from Bloch electrons in two-dimensional layered semiconductors Tang, Jianju Wang, Songlei Yu, Hongyi Mesoscale and Nanoscale Physics We theoretically studied the exciton geometric structure in layered semiconducting transition metal dichalcogenides. Based on a three-orbital tight-binding model for Bloch electrons which incorporates their geometric structures, an effective exciton Hamiltonian is constructed and solved perturbatively to reveal the relation between the exciton and its electron/hole constituent. We show that the electron-hole Coulomb interaction gives rise to a non-trivial inheritance of the exciton geometric structure from Bloch electrons, which manifests as a valley-dependent center-of-mass anomalous Hall velocity of the exciton when two external fields are applied on the electron and hole constituents, respectively. The obtained center-of-mass anomalous velocity is found to exhibit a non-trivial dependence on the fields, as well as the wave function and valley index of the exciton. These findings can serve as a general guide for the field-control of the valley-dependent exciton transport, enabling the design of novel quantum optoelectronic and valleytronic devices. |
| title | Inheritance of the exciton geometric structure from Bloch electrons in two-dimensional layered semiconductors |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2310.14856 |