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arXiv · 1909.05251

Energy drag in particle-hole symmetric systems as a quantum quench

William Berdanier·Thomas Scaffidi·Joel E. Moore
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Abstract

Two conducting quantum systems coupled only via interactions can exhibit the phenomenon of Coulomb drag, in which a current passed through one layer can pull a current along in the other. However, in systems with particle-hole symmetry -- for instance, the half-filled Hubbard model or graphene near the Dirac point -- the Coulomb drag effect vanishes to leading order in the interaction. Its thermal analogue, whereby a thermal current in one layer pulls a thermal current in the other, does not vanish and is indeed the dominant form of drag in particle-hole symmetric systems. By studying a quantum quench, we show that thermal drag, unlike charge drag, displays a non-Fermi's Golden Rule growth at short times due to a logarithmic scattering singularity generic to one dimension. Exploiting the integrability of the Hubbard model, we obtain the long-time limit of the quench for weak interactions. Finally, we comment on thermal drag effects in higher dimensional systems.

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William Berdanier, Thomas Scaffidi, Joel E. Moore. 2019-12-13. Energy drag in particle-hole symmetric systems as a quantum quench. https://doi.org/10.1103/physrevlett.123.246603

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