Document Type

Article

Publication Date

January 2012

Abstract

Motivated by experimental results for the thermodynamic properties of the Rb2Cu3SnF12 material and the discovery of its valence-bond solid ground state, we utilize the numerical linked-cluster expansions (NLCEs) and devise an expansion tailored to solve the Heisenberg model on a pinwheel-distorted kagome lattice. Using the exchange interactions that are relevant to Rb2Cu3SnF12, we calculate its uniform spin susceptibility and find a very good agreement with experiment. Next, we focus on the ground state of a simplified model of the distorted kagome lattice and take advantage of a zero-temperature Lanczos-based NLCE to study the approach to the ground state of the uniform kagome lattice Heisenberg model using a tuning parameter. Together with results from exact diagonalization of finite clusters, we find evidence that a phase transition occurs before the uniform limit is reached.

Comments

This paper was first published in the Journal of Physics: Conference Series, volume 402 (2012), published under licence by IOP Publishing Ltd. It can also be found online at this link.
This paper was originally presented at the IUPAP C20 Conference on Computational Physics (CCP 2011), held30 October to 3 November 2012 in Gatlinburg, Tennessee, USA.

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