Phys. Rev. B 60, 4057–4064 (1999)One- and two-dimensional spin systems in the regime close to deconfinement of spinonsReceived 18 February 1999; published in the issue dated 1 August 1999 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 J1-J2-δ model, two coupled J1-J2 chains (ladder), and a two-dimensional array of coupled J1-J2 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. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.60.4057
DOI:
10.1103/PhysRevB.60.4057
PACS:
75.10.Jm, 75.50.Ee, 75.60.Ch
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