Spin Waves in Antiferromagnetic Spin Chains with Long Range Interactions

Details Spin Waves in Antiferromagnetic Spin Chains with Long Range Interactions Spin Waves in Antiferromagnetic Spin Chains with Long Range Interactions

2004-02-17

arxiv.org/abs/cond-mat/0402445v2

Phys. Rev. B 69, 144412 (2004)

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1103/PhysRevB.69.144412

We study antiferromagnetic spin chains with unfrustrated long-range interactions that decays as a power law with exponent $\beta$, using the spin wave approximation. We find for sufficiently large spin $S$, the Neel order is stable at T=0 for $\beta < 3$, and survive up to a finite Neel temperature for $\beta < 2$, validating the spin-wave approach in these regimes. We estimate the critical values of $S$ and $T$ for the Neel order to be stable. The spin wave spectra are found to be gapless but have non-linear momentum dependence at long wave length, which is responsible for the suppression of quantum and thermal fluctuations and stabilizing the Neel state. We also show that for $\beta\le 1$ and for a large but finite-size system size $L$, the excitation gap of the system approaches zero slower than $L^{-1}$, a behavior that is in contrast to the Lieb-Schulz-Mattis theorem.

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