model: First-order phase transition versus deconfinement of spinons

J Sirker, Z Weihong, OP Sushkov, J Oitmaa - Physical Review B—Condensed …, 2006 - APS
J Sirker, Z Weihong, OP Sushkov, J Oitmaa
Physical Review B—Condensed Matter and Materials Physics, 2006APS
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 …
We revisit the phase transition from the Néel ordered to a valence bond solid (VBS) state in the two-dimensional 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.
American Physical Society
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