Holon metal, charge-density-wave and chiral superconductor from doping fractional Chern insulator and SU(3)$_1$ chiral spin liquid

TL;DR

This paper develops a theoretical framework for phases emerging from doping a fractional Chern insulator, revealing a duality with doping an SU(3)$_1$ chiral spin liquid, relevant to understanding superconductivity in twisted MoTe2.

Contribution

It introduces a duality between doping a fractional Chern insulator and an SU(3)$_1$ chiral spin liquid, advancing the understanding of correlated phases in topological materials.

Findings

Establishes a duality between fractional Chern insulator doping and SU(3)$_1$ chiral spin liquid doping.

Provides insights into the nature of the normal state near superconductivity in twisted MoTe2.

Suggests new avenues for exploring correlated topological phases.

Abstract

Recent experiments have observed superconductivity proximate to the nu = -2/3 fractional quantum anomalous Hall (FQAH) insulator in twisted MoTe2. A critical open question is whether the underlying normal state is a Fermi liquid with a large Fermi surface or a strongly correlated metal with low carrier density. In this work, we develop a theory of the phases emerging from doping the $\nu = -2/3$ fractional Chern insulator (FCI). We establish a duality between this problem and doping a gapped SU(3)$_1$ chiral spin liquid (CSL).