Phase diagram of the spin-1/2<i>J</i><sub>1</sub>-<i>J</i><sub>2</sub>-<i>J</i><sub>3</sub>Heisenberg model on the square lattice

DOI DOI Web Site 被引用文献4件 オープンアクセス

書誌事項

公開日
2010-01-01
DOI
  • 10.1088/1742-6596/200/2/022058
  • 10.48550/arxiv.0907.4163
公開者
IOP Publishing

説明

We presents the results of an extensive numerical study of the phase diagram of the spin-1/2, \protect{$J_1$-$J_2$-$J_3$} Heisenberg model on a square lattice, for both ferromagnetic and antiferromagnetic nearest-neighbor interactions $J_1$, using exact diagonalization with periodic and twisted boundary conditions. Comparison is made with published spin wave calculations. We show that quantum fluctuations play a very important role, changing both the extent and the wave vector of classical spiral phases, and leading to new quantum phases where the classical spiral states have a high degeneracy. These include a new phase with small or vanishing spin-stiffness, in addition to known valence-bond-solid and bond-nematic phases.

submitted for the International Conference on Magnetism to be held 26-31 July 2009 in Karlsruhe

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