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

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

1999-02-18

arxiv.org/abs/cond-mat/9902249v1

Phys. Rev. B, 60, 4057 (1999)

Physics

Condensed Matter

12 pages, 16 figures (2 eps figures)

Scientific paper

10.1103/PhysRevB.60.4057

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 - \delta model, 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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