A Model with Propagating Spinons beyond One Dimension

Abstract

For the model of frustrated spin-1/2 Heisenberg magnet described in A. A. Nersesyan and A. M. Tsvelik, (Phys. Rev. B{\bf 67}, 024422 (2003)) we calculate correlation functions of staggered magnetization and dimerization. The model is formulated as a collection of antiferromagnetic chains weakly coupled by a frustrated exchange interaction. The calculation done for the case of four chains demonstrates that these functions do not vanish. Since the correlation functions in question factorize into a product of correlation functions of spinon creation and annihilation operators, this constitutes a proof that spinons in this model propagate in the direction perpendicular to the chains.

revised version to appear in Phys. Rev B., 8 pages, a reference added

References in corpus (2)

• Spinons in more than one dimension: Resonance Valence Bond state stabilized by frustration
• Exact form factors in integrable quantum field theories: the sine-Gordon model (II)

Cited by in corpus (4)

• Spin-1/2 frustrated antiferromagnet on a spatially anisotopic square lattice: contribution of exact diagonalizations
• Leading interactions in the $\beta$-$Sr{V}_6{O}_{15}$ compound
• Excitation spectrum of doped two-leg ladders: A field theory analysis
• Confinement and deconfinement of spinons in a frustrated spin-1/2 Heisenberg model