Strong correlations and the anisotropy of acceptor states in insulating La(2-x)Sr(x)CuO(4)

TL;DR

This paper investigates how strong electronic correlations induce anisotropic spatial structures of acceptor states in lightly doped La(2-x)Sr(x)CuO(4), providing insights into experimental discrepancies in transport and photoemission data.

Contribution

It introduces a Green's function formalism to analyze the impact of momentum-dependent scattering rates on acceptor state anisotropy in a 2D Mott insulator.

Findings

Acceptor states become spatially anisotropic due to strong correlations.

Calculated acceptor state structure for a Dirac delta potential illustrates anisotropy.

Discussed implications for interpreting transport and photoemission experiments.

Abstract

We use the Green's function formalism to discuss the role of strong correlations to the spatial structure of acceptor states doped into a two-dimensional Mott-Hubbard antiferromagnetic insulator. When the scattering between doped carriers, at the nesting wave vector ${\bf Q}=(\pi,\pi)$, is strong enough to produce a momentum dependent scattering rate, $\Gamma_{\bf k}$, the corresponding acceptor states become spatially anisotropic. As an example, we calculate the spatial structure of an acceptor state bound to an attractive two-dimensional Dirac delta potential, for a simple form of $\Gamma_{\bf k}$. We then discuss the role of such spatial anisotropy for the understanding of an apparent discrepancy between low temperature transport data and photoemission spectra in lightly doped La(2-x)Sr(x)CuO(4).