Quantum Nonlinear Sigma Model for Arbitrary Spin Heisenberg Antiferromagnets

Abstract

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.

arXiv comment4 pages, 1 figure, minor revision of the text

References in corpus (10)

• Theory of Two-Dimensional Quantum Heisenberg Antiferromagnets with a Nearly Critical Ground State
• Asymptotic scaling of the square lattice quantum Heisenberg antiferromagnet
• Haldane Gap and Hidden Order in the S=2 Antiferromagnetic Quantum Spin Chain
• The Square-Lattice Heisenberg Antiferromagnet at Very Large Correlation Lengths
• Critical behavior of the S=3/2 antiferromagnetic Heisenberg chain
• Spin Dependence of Correlations in Two-Dimensional Quantum Heisenberg Antiferromagnets
• Spin dynamics and magnetic correlation length in two-dimensional quantum Heisenberg antiferromagnets
• Finite size spectrum, magnon interactions and magnetization of S=1 Heisenberg spin chains
• Scaling Regimes, Crossovers, and Lattice Corrections in 2D Heisenberg Antiferromagnets
• Logarithmic corrections from ferromagnetic impurity ending bonds of open antiferromagnetic host chains

Cited by in corpus (2)

• The even-odd effect in short antiferromagnetic Heisenberg chains
• Putative magnetic quantum criticality in (Sr${}_{\text{1-x}}$La${}_{\text{x}}$)${}_{\text{3}}$Ir${}_{\text{2}}$O${}_{\text{7}}$