Theory of Dissipationless Nernst Effects
- Creators
- Bergman, Doron L.
- Oganesyan, Vadim
Abstract
We develop a theory of transverse thermoelectric (Peltier) conductivity α_(xy), in a strong magnetic field—this particular conductivity is often the most important contribution to the Nernst thermopower. We demonstrate that α_(xy) of a free electron gas can be expressed purely and exactly as the entropy per carrier irrespective of temperature (which agrees with the seminal Hall bar result of Girvin and Jonson). In two dimensions we prove the universality of this result in the presence of disorder which allows explicit demonstration of a number of features of interest to experiments on graphene and other two-dimensional materials. We also exploit this relationship in the low-field regime and analyze the rich singularity structure in α_(xy)(B,T) in three dimensions; we discuss its possible experimental implications.
Additional Information
© 2010 The American Physical Society. Received 14 October 2009; published 11 February 2010. We would like to thank K. Behnia, S. Girvin, L. Glazman, and P. Ong for useful discussions. We are especially grateful to K. Behnia for sharing with us his unpublished results and reigniting our interest in Nernst matters. This work was supported by the National Science Foundation through Grant No. DMR-0803200 and through the Yale Center for Quantum Information Physics.Attached Files
Published - Bergman2010p7165Phys_Rev_Lett.pdf
Files
Name | Size | Download all |
---|---|---|
md5:ef303d2d2dbf50082377a60d55aa4345
|
248.7 kB | Preview Download |
Additional details
- Eprint ID
- 17622
- Resolver ID
- CaltechAUTHORS:20100301-150025607
- DMR-0803200
- NSF
- Yale Center for Quantum Information P
- Created
-
2010-03-02Created from EPrint's datestamp field
- Updated
-
2021-11-08Created from EPrint's last_modified field