Kinetic Antiferromagnetism in the Triangular Lattice

TL;DR

This paper explores how a single hole's movement in a frustrated Hubbard model induces weak metallic antiferromagnetism, linking simple 1D and 2D models to complex many-body systems.

Contribution

It reveals the kinetic origin of antiferromagnetism in frustrated lattices and connects simple models to complex many-body problems.

Findings

Weak metallic antiferromagnetism arises from hole motion.

Connections established between 1D and 2D frustrated systems.

Insights into the relationship between simple and complex many-body problems.

Abstract

We show that the motion of a single hole in the infinite $U$ Hubbard model with frustrated hopping leads to weak metallic antiferromagnetism of kinetic origin. An intimate relationship is demonstrated between the simplest versions of this problem in 1 and 2 dimensions, and two of the most subtle many body problems, namely the Heisenberg Bethe ring in 1-d and the 2-dimensional triangular lattice Heisenberg antiferromagnet.