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arXiv · 0704.0313

Possibility of Gapless Spin Liquid State by One-dimensionalization

Yuta Hayashi·Masao Ogata
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Abstract

Motivated by the observation of a gapless spin liquid state in $κ$-(BEDT-TTF)$_2$Cu$_2$(CN)$_3$, we analyze the anisotropic triangular lattice $S=1/2$ Heisenberg model with the resonating valence bond mean-field approximation. Paying attention to the small quasi-one-dimensional anisotropy of the material, we take an approach from one-dimensional (1D) chains coupled with frustrating zig-zag bonds. By calculating one-particle excitation spectra changing anisotropy parameter $J'/J$ from the decoupled 1D chains to the isotropic triangular lattice, we find almost gapless excitations in the wide range from the 1D limit. This one-dimensionalization by frustration is considered to be a candidate for the mechanism of the gapless spin liquid state.

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Yuta Hayashi, Masao Ogata. 2007-04-03. Possibility of Gapless Spin Liquid State by One-dimensionalization. https://doi.org/10.1143/jpsj.76.053705

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