Spectral function of one-dimensional strongly correlated electrons

Peter Prelovšek, A. Ramšak

弘行 斯波, Hiroyuki Shiba

Karlo Penc, Mohammed Serhan

The spectral functions of $\mathrm{tJ}$ and ${\mathrm{tJ}}_{\mathrm{XY}}$ models in the limit of $J/t\ensuremath{\rightarrow}0$ and at finite temperatures $T\ensuremath{\ll}t$ 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 $T\ensuremath{\lesssim}J/L$. We also observe a weight redistribution in the photoemission spectral function in the energy range $t$, which is much larger than the temperature.

К. А. Матвеев

We study momentum-resolved tunneling into a system of spinless chiral one-dimensional fermions, such as electrons at the edge of an integer quantum Hall system. Interactions between particles give rise to broadening of the spectral function of the system. We develop an approach that enables one to obtain the shape of the peak in the spectral function in the regime of strong interaction. We apply our technique to the special cases of short-range and Coulomb interactions.

A. Sherman, Michael Schreiber

Ehsan Khatami, Daniel Hansen, Edward Perepelitsky +2 more

A strong-coupling series expansion for the Green's function and the extremely correlated Fermi liquid (ECFL) theory are used to calculate the moments of the electronic spectral functions of the infinite-$U$ Hubbard model. Results from these two complementary methods agree very well at both low densities, where the ECFL solution is the most accurate, and at high to intermediate temperatures, where the series converge. We find that a modified first moment, which underestimates the contributions from the occupied states and is accessible in the series through the time-dependent Green's function, best describes the peak location of the spectral function in the strongly correlated regime. This is examined by the ECFL results at low temperatures, where it is shown that the spectral function is largely skewed towards the occupied states.