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.

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

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Cited by in corpus (4)

• Response Properties of Axion Insulators and Weyl Semimetals Driven by Screw Dislocations and Dynamical Axion Strings
• Theory of a 3+1D fractional chiral metal: interacting variant of the Weyl semimetal
• An exactly soluble model for a fractionalized Weyl semimetal
• Microscopic theory of fractional excitations in gapless bilayer quantum Hall states: semi-quantized quantum Hall states