Quantum Nonlinear Sigma Model for Arbitrary Spin Heisenberg Antiferromagnets

Details Quantum Nonlinear Sigma Model for Arbitrary Spin Heisenberg Antiferromagnets Quantum Nonlinear Sigma Model for Arbitrary Spin Heisenberg Antiferromagnets

2005-09-25

arxiv.org/abs/cond-mat/0509628v2

Phys.Rev.Lett. 95 (2005) 167205

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 1 figure, minor revision of the text

Scientific paper

10.1103/PhysRevLett.95.167205

In this Letter, we derive a quantum nonlinear sigma model (QNLSM) for quantum Heisenberg antiferromagnets (QHA) with arbitrary S (spin) values. A upper limit of the low temperature is naturally carried out for the reliability of the QNLSM. The S dependence of the effective coupling constant and the spin wave velocity in the QNLSM are also obtained explicitly. The resulting spin wave velocity for 2-dim spin-1/2 QHA highly concurs with the experimental data of high $T_c$ compound La2CuO4. The predicted correlation lengths for 2d QHA and spin-gap magnitudes for 1d QHA also agrees with the accurate numerical results.

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