## A hidden Goldstone mechanism in the Kagom\'e lattice antiferromagnet

### Abstract

In this paper, we study the phases of the Heisenberg model on the \kagome lattice with antiferromagnetic nearest neighbour coupling $J_1$ and ferromagnetic next neighbour coupling $J_2$. Analysing the long wavelength, low energy effective action that describes this model, we arrive at the phase diagram as a function of $\chi = \frac{J_2}{J_1}$. The interesting part of this phase diagram is that for small $\chi$, which includes $\chi =0$, there is a phase with no long range spin order and with gapless and spin zero low lying excitations. We discuss our results in the context of earlier, numerical and experimental work.Comment: 21 pages, latex file with 5 figure

Topics: Condensed Matter - Strongly Correlated Electrons
Publisher: 'American Physical Society (APS)'
Year: 1999
DOI identifier: 10.1103/PhysRevB.61.12126
OAI identifier: oai:arXiv.org:cond-mat/9907389

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