Affiliation:
1. Sharif University of Technology
Abstract
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+12+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∂tT
and (ii) a non-zero Hall-like conductance \sigma^{ij}\propto \zeta^i\zeta^jσij∝ζiζj
where \zeta^jζj
parameterize the tilt in jj’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∂tT
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.
Funder
Iran Science Elites Federation
Sharif University of Technology
Subject
Statistical and Nonlinear Physics,Atomic and Molecular Physics, and Optics,Nuclear and High Energy Physics,Condensed Matter Physics
Cited by
2 articles.
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