Excitation spectrum of spin-1 Kitaev spin liquids
Journal
Physical Review B
Journal Volume
105
Journal Issue
6
Date Issued
2022
Author(s)
Abstract
We study the excitation spectrum of the spin-1 Kitaev model using the symmetric tensor network. By evaluating the virtual order parameters defined on the virtual Hilbert space in the tensor network formalism, we confirm the ground state is in a Formula Presented spin-liquid phase. Using the correspondence between the transfer matrix spectrum and low-lying excitations, we find that contrary to the dispersive Majorana excitation in the spin-1/2 case, the isotropic spin-1 Kitaev model has a dispersive bosonic charge excitation. The bottom of the gapped single-particle charge excitations is found at Formula Presented, with a corresponding correlation length of Formula Presented unit cells. The lower edge of the two-particle continuum, which is closely related to the dynamical structure factor measured in inelastic neutron scattering experiments, is obtained by extracting the excitations in the vacuum superselection sector in the anyon theory language. ?2022 American Physical Society
Subjects
Ground state; Neutron scattering; Tensors; Transfer matrix method; Charge excitations; Excitation spectrum; Kitaev model; Majorana; Order parameter; Spectra's; Spin liquids; Spin-liquid phase; Symmetric tensors; Transfer matrixes; Excited states
Type
journal article