Spin-fluctuations in the quarter-filled Hubbard ring : significances to LiV$_2$O$_4$

TL;DR

This study uses quantum Monte Carlo simulations to analyze spin fluctuations in a quarter-filled Hubbard ring, providing insights into magnetic behaviors relevant to LiV$_2$O$_4$ and explaining recent experimental observations.

Contribution

It offers a detailed theoretical investigation of spin dynamics in a model relevant to LiV$_2$O$_4$, highlighting temperature-dependent magnetic responses and spin-fluctuation characteristics.

Findings

Magnetic responses change dramatically with temperature.

Spin-fluctuation characteristics vary significantly with temperature.

Results align with recent neutron scattering experiments on LiV$_2$O$_4$.

Abstract

Using the quantum Monte Carlo method, we investigate the spin dynamics of itinerant electrons in the one-dimensional Hubbard system. Based on the model calculation, we have studied the spin-fluctuations in the quarter-filled metallic Hubbard ring, which is aimed at the vanadium ring or chain defined along corner-sharing tetrahedra of LiV$_2$O$_4$, and found the dramatic changes of magnetic responses and spin-fluctuation characteristics with the temperature. Such results can explain the central findings in the recent neutron scattering experiment for LiV$_2$O$_4$.