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arXiv · 2303.06030

Semiclassical transport in two-dimensional Dirac materials with spatially variable tilt

Abolfath Hosseinzadeh·Seyed Akbar Jafari
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Abstract

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.

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Abolfath Hosseinzadeh, Seyed Akbar Jafari. 2023-03-10. Semiclassical transport in two-dimensional Dirac materials with spatially variable tilt. https://arxiv.org/abs/2303.06030

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