Exact diagonalization studies of doped Heisenberg spin rings

TL;DR

This paper uses exact diagonalization to study doped Heisenberg spin rings, revealing strong electrostatic interactions between holes, and compares results with experimental magnetization data for insights into hole interactions.

Contribution

It introduces a numerical diagonalization approach for doped spin rings that incorporates hole positions and compares findings with experimental data.

Findings

Electrostatic interactions between holes are surprisingly strong.

Numerical diagonalization accurately models magnetization data.

Insights into hole behavior in doped spin systems.

Abstract

Motivated by magnetization studies of the "telephon number compound" Sr_14Cu_24O_41 we investigate doped Heisenberg spin rings by means of complete numerical diagonalization of a Heisenberg Hamiltonian that depends parametrically on hole positions. A comparison with experimental magnetization data reveals rather accurate information about the screened electrostatic interaction between the charged holes on the ring which appears to be astonishingly strong.