Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2009-09-21
Eur. Phys. J. B 73, 117 (2010)
Physics
Condensed Matter
Strongly Correlated Electrons
16 pages, 2 tables, 11 figures
Scientific paper
10.1140/epjb/e2009-00400-4
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} \approx 0.35J1 and J2^{c2} \approx 0.66J1.
Richter Jadwiga
Schulenburg J/"org
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