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

Annals of Physics, vol. 471, pp. 169838

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 gravito-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 x y 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.

Authors 2

1. Abolfath Hosseinzadeh

   Shahed University

   Affiliation as printed

   Department of Physics, Faculty of Basic Sciences, Shahed University, Tehran 18151/159, Iran

2. S. A. Jafari corresponding Aachen 2nd Institute of Physics C

   RWTH Aachen University · Forschungszentrum Jülich

   Affiliation as printed

   2nd Institute of Physics C, RWTH Aachen University, 52074, Aaachen, Germany

   Peter Grünberg Institute 2, Forschungszentrum Jülich, 52425 Jülich, Germany