Multi-spinon and antiholon excitations probed by resonant inelastic x-ray scattering on doped one-dimensional antiferromagnets

Abstract

Resonant inelastic x-ray scattering (RIXS) at the oxygen K-edge has recently accessed multi-spinon excitations in the one-dimensional antiferromagnet (1D-AFM) Sr 2 CuO 3 , where four-spinon excitations are resolved separately from the two-spinon continuum. This technique, therefore, provides new opportunities to study fractionalized quasiparticle excitations in doped 1D-AFMs. To this end, we carried out exact diagonalization studies of the doped t-J model and provided predictions for oxygen K-edge RIXS experiments on doped 1D-AFMs. We show that the RIXS spectra are rich, containing distinct two-and four-spinon excitations, dispersive antiholon excitations, and combinations thereof. Our results highlight how RIXS complements inelastic neutron scattering experiments by accessing additional charge and spin components of fractionalized quasiparticles.

Theoretical study of the spin and charge dynamics of two-leg ladders as probed by resonant inelastic x-ray scattering

“…68 and Appendix A]. The SC channel is also particularly relevant at the O and Cu K-edges, where direct spin-flip excitations are often forbidden [4,25,36]. Our numerical study motivates RIXS experiments that could be able to disentangle SC and NSC components of the spectra by the use of photon polarization, which has been successfully demonstrated in Ref.…”

“…In the isotropic limit, the quasiparticle develops more internal structure with a length scale of ∼ 3a. In the decoupled case (J rung = 0), the doped hole fractionalizes completely into a spinon and holon [36,67].…”

EDRIXS: An open source toolkit for simulating spectra of resonant inelastic x-ray scattering

“…zeros (( ntot , ntot ) , dtype = np . complex )26 index Coulomb interaction tensor , parameterized by Slater integrals , which are obtained from Cowan 's code averaged dd Coulomb interaction is set to be zero Core -hole potential : interaction between 3 d and 2 p averaged dp Coulomb interaction is set to be zero36 G1_dp , G3_dp = 4.0509 , 2.303737…”

Unraveling higher-order corrections in the spin dynamics of RIXS spectra

“…The RIXS intensity can only be directly equated with the dynamical structure factors under certain scattering conditions [22] or in the limit of ultrashort core-hole lifetimes [23], a fact that is becoming more evident with the recent developments in resolving the polarization of the scattered x-rays [11,24,25]. While this aspect complicates the interpretation of RIXS experiments, it has also led to the observation of novel excitations such as orbitons [26,27] and SC four-spinon excitations outside two-spinon phase space [28,29] in the onedimensional (1D) Heisenberg antiferromagnetic (HAFM) spin chain Sr 2 CuO 3 .…”

“…We solved Eq. ( 1) using exact diagonalization (ED) on twenty-four site chains and evaluated the RIXS intensity I(q, ω) using the KH formalism [8] iσ transition [28,29], where p † i,σ and s † iα are creation operators on the 2p and 1s core levels, respectively; and Γ n is the core-hole broadening related to the inverse core-hole lifetime. For our numerical calculations we use Γ n = 0.3 eV (Cu L 3 -edge) and 0.15 eV (O K-edge) for all n [22,49].…”