The J1-J2 model: First order phase transition versus deconfinement of spinons

Abstract

We revisit the phase transition from the Néel ordered to a valence bond solid (VBS) state in the two-dimensional $J_1-J_2$ antiferromagnetic Heisenberg model. In the first part we address the question whether or not this transition could be an example of a second order phase transition due to a deconfinement of spinons. We give arguments based on series expansion and spin-wave theory that this is not the case and the transition is most likely first order. The method proposed here to detect first order phase transitions seems to be very sensitive and might be useful in other models as well. In the second part we analyze possible VBS patterns in the magnetically disordered phase based on numerical data for different susceptibilities, obtained in the ordered phase, which test the breaking of lattice symmetries. We conclude that a columnar dimerization pattern is the most likely candidate.

arXiv comment7 pages, 7 figures, small changes, references added

References in corpus (10)

• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Resonating Valence Bond Wave Functions for Strongly Frustrated Spin Systems
• Magnetic order and disorder in the frustrated quantum Heisenberg antiferromagnet in two dimensions
• Dimer Order with Striped Correlations in the J_1-J_2 Heisenberg Model
• Spontaneous plaquette dimerization in the $J_1-J_2$ Heisenberg model
• New quantum phase transitions in the two-dimensional J1-J2 model
• Striped phase in a quantum XY-model with ring exchange
• Suppression of Dimer Correlations in the Two-Dimensional $J_1$-$J_2$ Heisenberg Model: an Exact Diagonalization Study
• Critical dynamics of singlet and triplet excitations in strongly frustrated spin systems

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