Berry Fermi Liquid Theory

Jing-Yuan Chen; Dam Thanh Son

doi:10.1016/j.aop.2016.12.017

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arXiv · 1604.07857

Berry Fermi Liquid Theory

Jing-Yuan Chen·Dam Thanh Son

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Abstract

We develop an extension of the Landau Fermi liquid theory to systems of interacting fermions with non-trivial Berry curvature. We propose a kinetic equation and a constitutive relation for the electromagnetic current that together encode the linear response of such systems to external electromagnetic perturbations, to leading and next-to-leading orders in the expansion over the frequency and wave number of the perturbations. We analyze the Feynman diagrams in a large class of interacting quantum field theories and show that, after summing up all orders in perturbation theory, the current-current correlator exactly matches with the result obtained from the kinetic theory.

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Jing-Yuan Chen, Dam Thanh Son. 2016-04-26. Berry Fermi Liquid Theory. https://doi.org/10.1016/j.aop.2016.12.017

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