2017/11/28 by Kevin J. U. Vidarte, Vidarte, Kevin J. Urcia, Luigui A. Chero Nunura +5
Physics and Astronomy · #Advanced Condensed Matter Physics #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1711.10121
openalex publication_date 2017/11/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The variational study of the ground state of the spin-1/2 anisotropic Heisenberg antiferromagnet has been revisited on a square lattice by improving and correcting past numerical results found in Sol. State. Comm. 165, 33 (2013). The Hamiltonian has been implemented on a square lattice with antiferromagnetic interactions between nearest- and next-nearest neighbors. The nearest-neighbor couplings have different strengths, namely, J1 and J1', for the x and y directions, respectively. These couplings compete with the next-nearest ones denoted by J2. We obtained a new phase diagram in the λ- α plane, where λ= J1'/J1 and α= J2/J1, whose topology is slightly different of that previously found. There is no direct frontier dividing the collinear (CAF) and the antiferromagnetic order (AF), rather, the quantum paramagnetic phase (QP) separates these two phases for all positive values of λ and α. The true nature of the frontiers has been obtained by scanning rigorously the relevant points of the λ-α plane.