Journal
PHYSICAL REVIEW B
Volume 105, Issue 20, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.105.205419
Keywords
-
Funding
- Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) within CRC1238 [277146847]
- Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) within CRC183 [277101999]
Ask authors/readers for more resources
This study investigates the response of quantum Hall states and other gapped chiral topological states to temperature gradients. The traditional approach of using a gravitational model to describe temperature gradients is found to be invalid for these states.
The response of solids to temperature gradients is often described in terms of a gravitational analog: the effect of a space-dependent temperature is modeled using a space-dependent metric. We investigate the validity of this approach in describing the bulk response of quantum Hall states and other gapped chiral topological states. To this end, we consider the prototypical Haldane model in two different cases of (i) a space-dependent electrostatic potential and gravitational potential and (ii) a space-dependent temperature and chemical potential imprinted by a weak coupling to noninteracting electron baths or phonons. We find that the thermal analog applied to theses cases is invalid; while a space-dependent gravitational potential induces transverse energy currents proportional to the third derivative of the gravitational potential, the response to an analogous temperature profile vanishes in limit of weak coupling to the thermal bath. Similarly, the Einstein relation, the analogy between the electrostatic potential and the internal chemical potential, is not valid in such a setup.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available