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

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.

12 pages, 16 figures (2 eps figures)

References in corpus (6)

• Spin dynamics and transport in gapped one-dimensional Heisenberg antiferromagnets at nonzero temperatures
• Bound states of magnons in the S=1/2 quantum spin ladder
• Soliton Approach to Spin-Peierls Antiferromagnets: Large-Scale Numerical Results
• Excitation spectrum of the S=1/2 quantum spin ladder with frustration: elementary quasiparticles and many-particle bound states
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• Dynamical Transition from Triplets to Spinon Excitations: A Series Expansion Study of the $J_1-J_2-\delta$ spin-half chain

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• Quantum Monte Carlo studies of spinons in one-dimensional spin systems
• Doped coupled frustrated spin-1/2 chains with four-spin exchange
• Quantum magnets with weakly confined spinons: Multiple length scales and quantum impurities
• Magnetic ordering in a doped frustrated spin-Peierls system
• Spinon excitation spectra of the $J_1$-$J_2$ chain from analytical calculations in the dimer basis and exact diagonalization
• Series study of the One-dimensional S-T Spin-Orbital Model
• Confinement and critical regime in doped frustrated quasi-one dimensional magnets
• Magnetic ordering in doped coupled frustrated quantum spin-1/2 chains with 4-spin exchange