Holons in Chiral Spin-Liquids: Statistics and Pairing

TL;DR

This paper investigates holon excitations in chiral spin liquids, revealing their anyonic statistics, localized flux, and pairing tendencies with d-wave symmetry, using variational wavefunctions and effective Hamiltonian analysis.

Contribution

It introduces a variational approach to study holons in chiral spin liquids, demonstrating their anyonic nature, adjustable statistics, and pairing behavior with specific symmetry.

Findings

Holons exhibit anyonic statistics with a tunable phase between 0 and π/2.

Localized statistical flux is confined within a lattice constant.

Two-holon states show d-wave symmetry and break time-reversal and parity.

Abstract

We study Gutzwiller-projected variational wavefunctions for charged, spinless holon excitations in chiral spin liquids. We find that these states describe anyons, with a statistical phase $\Phi_s$ that is continuously adjustable between $0$ and $\pi/2$, depending on a variational parameter. The statistical flux attached to each holon is localized to within a lattice constant. By diagonalizing the effective Hamiltonian for charge motion in our variational basis we obtain a two-holon pair state. This two-holon state has large overlap with a two-hole state whose relative wavefunction has $d$-wave symmetry and breaks time-reversal and parity.