TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.6.1.010
TI  - Electron currents from gradual heating in tilted Dirac cone materials
PY  - 2023/03/07
UR  - https://scipost.org/SciPostPhysCore.6.1.010
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 6
IS  - 1
SP  - 010
A1  - Moradpouri, Ahmadreza
AU  - Torabian, Mahdi
AU  - Jafari, Seyed Akbar
AB  - Materials hosting tilted Dirac/Weyl fermions provide an emergent spacetime structure for the solid state physics. They admit a geometric description in terms of an effective spacetime metric. Using this metric that is rooted in the long-distance behavior of the underlying lattice, we formulate the hydrodynamic theory for tilted Dirac/Weyl materials in $2+1$ spacetime dimensions. We find that the mingling of space and time through the off-diagonal components of the metric gives rise to: (i) heat and electric currents proportional to the temporal gradient of temperature, $\partial_t T$ and (ii) a non-zero Hall-like conductance $\sigma^{ij}\propto \zeta^i\zeta^j$ where $\zeta^j$ parameterize the tilt in $j$'th space direction. The finding (i) above that can be demonstrated in the laboratory, implies that the non-trivial emergent spacetime geometry in these materials empowers them with a fascinating capability to harness naturally available sources of $\partial_t T$ of hot deserts to produce electric current. We further find a tilt-induced non-Drude contribution to conductivity which can be experimentally disentangled from the usual Drude pole.
ER  -

@Article{10.21468/SciPostPhysCore.6.1.010,
	title={{Electron currents from gradual heating in tilted Dirac cone materials}},
	author={Ahmadreza Moradpouri and Mahdi Torabian and Seyed Akbar Jafari},
	journal={SciPost Phys. Core},
	volume={6},
	pages={010},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.6.1.010},
	url={https://scipost.org/10.21468/SciPostPhysCore.6.1.010},
}