Confinement and deconfinement of spinons in a frustrated spin-1/2 Heisenberg model

Abstract

In this publication I discuss the phase diagram of a frustrated spin-1/2 Heisenberg model suggested in A. A. Nersesyan and A. M. Tsvelik, Phys. Rev. B{\bf 67}, 024422 (2003). The phase diagram contains $(\pi ,0)$ and $(\pi ,\pi )$ antiferromagnetic phases separated by the Valence Bond Crystal (VBC) state. I argue that the point of the phase diagram with deconfined spinons, predicted in the aforementioned work, is situated in the middle of VBC state, at the point where the dimerization order parameter changes sign.

13 pages, 5 figures; an important reference and some explanations added

References in corpus (2)

• "Deconfined" quantum critical points
• Quantum Criticality and Deconfinement in Phase Transitions Between Valence Bond Solids

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• Characteristics of 2D lattice models from fermionic realization: Ising and $XYZ$ models
• Quantum spin chain as a potential realization of the Nersesyan-Tsvelik model
• Dynamical lattice instability versus spin liquid state in a frustrated spin chain system
• Néel and disordered phases of coupled Heisenberg chains with $S=1/2$ to S=4
• Dimerization process and elementary excitations in spin-Peierls chains coupled by frustrated interactions
• Plaquette Order in a Dimerized Frustrated Spin-Ladder