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The spin-1/2 square-lattice J1-J2 model: the spin-gap issue

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Abstract

We use the coupled cluster method to high orders of approximation in order to calculate the ground-state energy, the ground-state magnetic order parameter, and the spin gap of the spin-1/2 J 1-J 2 model on the square lattice. We obtain values for the transition points to the magnetically disordered quantum paramagnetic phase of J c12 = 0.454J 1 and J c22 = 0.588J 1. The spin gap is zero in the entire parameter region accessible by our approach, i.e. for J 2 ≤ 0.49J 1 and J 2> 0.58J 1. This finding is in favor of a gapless spin-liquid ground-state in this parameter regime.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Magdeburg, 39016, Magdeburg, Germany

    Johannes Richter

  2. Institut für Apparate- und Umwelttechnik, Universität Magdeburg, 39016, Magdeburg, Germany

    Ronald Zinke

  3. School of Dentistry, Cardiff University, Cardiff, CF14 4XY, UK

    Damian J. J. Farnell

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  1. Johannes Richter
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  2. Ronald Zinke
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  3. Damian J. J. Farnell
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Correspondence to Johannes Richter.

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Richter, J., Zinke, R. & Farnell, D.J.J. The spin-1/2 square-lattice J1-J2 model: the spin-gap issue. Eur. Phys. J. B 88, 2 (2015). https://doi.org/10.1140/epjb/e2014-50589-x

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