Fractionalized Metals and Superconductors in Three Dimensions

Abstract

We study three-dimensional metals with nontrivial correlation functions and fractionalized excitations. We formulate for such states a gauge theory, which also naturally describes the fractional quantization of chiral anomaly. We also study fractional superconductors in this description. This formulation leads to the "three-dimensional chiral Luttinger liquids" and fractionalized Weyl semimetals, which can arise in both fermion and boson models. We also propose experiments to detect these fractionalized phases.

Fractional anomaly of bosons is added. "3D chiral Luttinger liquids" from bosons are included

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