Spin-charge decoupling and the photoemission line-shape in one dimensional insulators

Abstract

The recent advances in angle resolved photoemission techniques allowed the unambiguous experimental confirmation of spin charge decoupling in quasi one dimensional (1D) Mott insulators. This opportunity stimulates a quantitative analysis of the spectral function $A(k,\omega )$ of prototypical one dimensional correlated models. Here we combine Bethe Ansatz results, Lanczos diagonalizations and field theoretical approaches to obtain $A(k,\omega )$ for the 1D Hubbard model as a function of the interaction strength. By introducing a {\it single spinon approximation}, an analytic expression is obtained, which shows the location of the singularities and allows, when supplemented by numerical calculations, to obtain an accurate estimate of the spectral weight distribution in the $(k,\omega )$ plane. Several experimental puzzles on the observed intensities and line-shapes in quasi 1D compounds, like $\mathrm{SrCu}{\mathrm{O}}_2$, find a natural explanation in this theoretical framework.

8 pages, submitted to Physical Review B

References in corpus (6)

• Weakly coupled one-dimensional Mott insulators
• Temperature dependence of spinon and holon excitations in one-dimensional Mott insulators
• Optical studies of gap, hopping energies and the Anderson-Hubbard parameter in the zigzag-chain compound SrCuO2
• Current spinon-holon description of the one-dimensional charge-transfer insulator SrCuO2: Angle-resolved photoemission measurements
• One-dimensional versus two-dimensional correlation effects in the oxyhalides TiOCl and TiOBr
• Doping of a One-Dimensional Mott Insulator: Photoemision and Optical Studies of Sr${}_2$CuO${}_{3+\delta }$

Cited by in corpus (7)

• Spin-charge separation in one-dimensional fermion systems beyond the Luttinger liquid theory
• Finite temperature dynamics of the Mott insulating Hubbard chain
• Crystal growth of the non-magnetic Zn${}^{2+}$ and magnetic Co${}^{2+}$ doped quasi one-dimensional spin chain compound SrCuO${}_2$ using the travelling solvent floating zone method
• Finite energy spectral function of an anisotropic 2D system of coupled Hubbard chains
• One-particle spectral functions of the one-dimensional Fermionic Hubbard model with one fermion per site at zero and finite magnetic fields
• A charge model as an effective model of one-dimensional Hubbard and extended Hubbard systems: its application to linear optical spectrum calculations in large systems based upon many-body Wannier functions
• Plasmon decay and thermal transport from spin-charge coupling in generic Luttinger liquids