Spin-Charge Separation in Two-dimensional Frustrated Quantum Magnets

TL;DR

This paper investigates how doping affects the behavior of holes in two-dimensional frustrated quantum magnets, revealing spin-charge separation in kagome lattices and weak confinement in checkerboard lattices.

Contribution

It provides the first evidence of spin-charge separation in doped kagome spin liquids using exact diagonalization methods.

Findings

Spin-charge separation observed in kagome lattice upon doping.

Weak holon-spinon confinement in checkerboard lattice.

Different behaviors linked to lattice symmetry and ground state.

Abstract

The dynamics of a mobile hole in two-dimensional frustrated quantum magnets is investigated by exact diagonalization techniques. Our results provide evidence for spin-charge separation upon doping the kagome lattice, a prototype of a spin liquid. In contrast, in the checkerboard lattice, a symmetry broken Valence Bond Crystal, a small quasi-particle peak is seen for some crystal momenta, a finding interpreted as a restoration of weak holon-spinon confinement.