Charge-4$e$ Anyon Superconductor from Doping $\text{SU}(4)_1$ chiral spin liquid

TL;DR

This paper proposes that doping an SU(4) chiral spin liquid can lead to a topological charge-4e superconductor with unique anyonic excitations, detectable via thermal and spin Hall effects.

Contribution

It introduces a novel topological charge-4e superconductor phase arising from doping an SU(4)_1 chiral spin liquid, with detailed theoretical analysis of its properties.

Findings

Doped SU(4)_1 chiral spin liquid can form a charge-4e superconductor.

The superconductor hosts anyonic excitations and has a chiral central charge of 4.

Potential realization in moiré bilayer systems with observable thermal and spin Hall effects.

Abstract

Previous studies have shown that $\text{SU}(4)_1$ chiral spin liquid can emerge in the SU($4$) Hubbard model on triangular lattice. A natural question then arises: What is the phase upon doping? In this work, we show the possibility that hole doping can give rise to an anyon superconductor and propose that both spinons and holons form integer quantum Hall states with opposite chiralities. Using topological field theory we demonstrate that the phase is a topological charge-$4e$ superconductor with chiral central charge $c_-=4$. We further identify the deconfined excitations and anyonic excitations bound to the vortex. This unusual superconductor may be realized in moir'e bilayer and detected through quantized thermal Hall effect and spin quantum Hall effect.