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One and Two Dimensional Spin Systems in the Regime Close to Deconfinement of Spinons

T. M. R. Byrnes·M. T. Murphy·O. P. Sushkov
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Abstract

Based on the Majumdar-Ghosh chain we construct several spin models which allow us to investigate spinon dynamics in the regime close to deconfinement of spinons. We consider the J_1 - J_2 - δmodel, two coupled J_1 - J_2 chains (ladder), and a 2D array of coupled J_1 - J_2 chains. Using the picture of two spinons interacting with a string confining potential we calculate the singlet- triplet splitting, magnetic structure factor, tunneling amplitude of two spinons and the excitation spectra for the ladder and the array.

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T. M. R. Byrnes, M. T. Murphy, O. P. Sushkov. 1999-02-18. One and Two Dimensional Spin Systems in the Regime Close to Deconfinement of Spinons. https://doi.org/10.1103/physrevb.60.4057

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