Semiclassical transport in two-dimensional Dirac materials with spatially variable tilt
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866917687945330688 |
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| author | Hosseinzadeh, Abolfath Jafari, Seyed Akbar |
| author_facet | Hosseinzadeh, Abolfath Jafari, Seyed Akbar |
| contents | We use Boltzmann theory to study the semi-classical dynamics of electrons in a two-dimensional (2D) tilted Dirac material in which the tilt varies in space. The spatial variation of the tilt parameter induces a non-trivial spacetime geometry on the background of which the electrons roam about. As the first manifestation of graivto-electric phenomena, we find a geometric planar Hall effect according to which a current flows in a direction transverse to the chemical potential gradient and is proportional to $g^{xy}$ component of the emergent spacetime structure. The longitudinal conductivity contains information about the gravitational red-shift factors. Furthermore, in the absence of externally applied electric field there can be "free-fall" or zero-bias currents that can be used as detectors of terahertz radiation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2303_06030 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Semiclassical transport in two-dimensional Dirac materials with spatially variable tilt Hosseinzadeh, Abolfath Jafari, Seyed Akbar Mesoscale and Nanoscale Physics Materials Science General Relativity and Quantum Cosmology High Energy Physics - Theory We use Boltzmann theory to study the semi-classical dynamics of electrons in a two-dimensional (2D) tilted Dirac material in which the tilt varies in space. The spatial variation of the tilt parameter induces a non-trivial spacetime geometry on the background of which the electrons roam about. As the first manifestation of graivto-electric phenomena, we find a geometric planar Hall effect according to which a current flows in a direction transverse to the chemical potential gradient and is proportional to $g^{xy}$ component of the emergent spacetime structure. The longitudinal conductivity contains information about the gravitational red-shift factors. Furthermore, in the absence of externally applied electric field there can be "free-fall" or zero-bias currents that can be used as detectors of terahertz radiation. |
| title | Semiclassical transport in two-dimensional Dirac materials with spatially variable tilt |
| topic | Mesoscale and Nanoscale Physics Materials Science General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2303.06030 |