Enhancement of Spin Susceptibility near Charge-Ordering Transition in a Two-Dimensional Extended Hubbard Model

TL;DR

This paper investigates how vertex corrections affect charge and spin responses near the charge-ordering transition in a 2D extended Hubbard model, revealing enhanced spin susceptibility consistent with experimental observations.

Contribution

It introduces a non-skeleton diagrammatic expansion that systematically includes vertex corrections, providing new insights into charge and spin responses near the transition.

Findings

Reentrant charge-ordering transition persists beyond RPA.

Vertex corrections enhance uniform spin susceptibility.

Qualitative agreement with experimental data on organic conductors.

Abstract

Based on the non-skeleton diagrammatic expansion satisfying the compressibility and spin-susceptibility sum rules, we investigate static charge and spin responses in a two-dimensional extended Hubbard model with the nearest-neighbor Coulomb repulsion in the vicinity of its charge-ordering transition point. In this expansion, we can calculate approximate charge and spin response functions by systematic inclusion of vertex corrections, from which we obtain the uniform susceptibility equal to the so-called q-limit of the response function and the second-order transition point as a divergent point in the same response function at some finite wave-number vector. It is shown that the reentrant charge-ordering transition, which has already been observed in the random-phase approximation (RPA), remains to take place even though the vertex corrections are included beyond the RPA. As a prominent effect of the vertex corrections, we find that the uniform spin susceptibility is enhanced due to charge fluctuations developing toward the charge-ordering transition. We give a qualitative comparison of this enhanced spin susceptibility with the experimental results on the quasi-two-dimensional organic conductors, together with its explanation in the Landau's Fermi-liquid theory.