Finite-temperature spectral functions of strongly correlated one-dimensional electron systems

The spectral functions of $\mathrm{tJ}$ and ${\mathrm{tJ}}_{\mathrm{XY}}$ models in the limit of $J/t\to 0$ and at finite temperatures $T\ll t$ are calculated using the spin-charge factorized wave function. We find that the Luttinger-liquid-like scaling behavior for a finite system with $L$ sites is restricted below temperatures of the order $T\lesssim J/L$. We also observe a weight redistribution in the photoemission spectral function in the energy range $t$, which is much larger than the temperature.