The spin-1/2 J1–J2 Heisenberg antiferromagnet on the square lattice: Exact diagonalization for N=40 spins

2009/09/21 by J. Richter, J. Schulenburg · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1140/epjb/e2009-00400-4

published as Eur. Phys. J. B 73, 117 (2010) · 16 pages, 2 tables, 11 figures

arxiv created 2009/09/21 · openalex publication_date 2009/11/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We present numerical exact results for the ground state and the low-lying excitations for the spin-1/2 J1-J2 Heisenberg antiferromagnet on finite square lattices of up to N=40 sites. Using finite-size extrapolation we determine the ground-state energy, the magnetic order parameters, the spin gap, the uniform susceptibility, as well as the spin-wave velocity and the spin stiffness as functions of the frustration parameter J2/J1. In agreement with the generally excepted scenario we find semiclassical magnetically ordered phases for J2 < J2^c1 and J2 > J2^c2 separated by a gapful quantum paramagnetic phase. We estimate J2^c1 ≈ 0.35J1 and J2^c2 ≈ 0.66J1.

Citations

• Quantum phase transitions in the two-dimensionalJ1−J2model
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Two Step Restoration of SU(2) Symmetry in a Frustrated Quantum Magnet
• FRUSTRATED QUANTUM ANTIFERROMAGNETS: APPLICATION OF HIGH-ORDER COUPLED CLUSTER METHOD
• Strong Correlations and Magnetic Frustration in the HighTcIron Pnictides
• Li2VO(Si,Ge)O4, a Prototype of a Two-Dimensional Frustrated Quantum Heisenberg Antiferromagnet
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• Two soluble models of an antiferromagnetic chain
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• Gutzwiller–RVB theory of high-temperature superconductivity: Results from renormalized mean-field theory and variational Monte Carlo calculations
• Effect of anisotropy on the ground-state magnetic ordering of the spin-half quantumJ1XXZ–J2XXZmodel on the square lattice

Cited by

• The Magnetization Process of the Spin-One Triangular-Lattice Heisenberg Antiferromagnet