Theory of Dissipationless Nernst Effects

Doron L. Bergman, Vadim Oganesyan
2010 Physical Review Letters  
We develop a theory of transverse thermoelectric (Peltier) conductivity, α_xy, in finite 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 seminal Hall bar result of Girvin and Jonson). In two dimensions we prove the universality of this result in the presence of disorder
more » ... h allows explicit demonstration of a number features of interest to experiments on graphene and other two-dimensional materials. We also exploit this relationship in the low field regime and to analyze the rich singularity structure in α_xy(B, T) in three dimensions; we discuss its possible experimental implications.
doi:10.1103/physrevlett.104.066601 pmid:20366843 fatcat:vdi2m3cwgjeftpz45qlrap5dci