Phase diagram of the XXZ chain with next-nearest-neighbor interactions

Details Phase diagram of the XXZ chain with next-nearest-neighbor interactions Phase diagram of the XXZ chain with next-nearest-neighbor interactions

2001-05-05

arxiv.org/abs/cond-mat/0105119v1

Physical Review B 64, 024410 (2001)

Physics

Condensed Matter

10 pages, 4 psfigures

Scientific paper

10.1103/PhysRevB.64.024410

We calculate the quantum phase diagram of the {\it XXZ} chain with nearest-neighbor (NN) $J_{1}$ and next-NN exchange $J_{2}$ with anisotropies $\Delta_{1}$ and $\Delta_{2}$ respectively. In particular we consider the case $\Delta_{1}=-\Delta_{2}$ to interpolate between the {\it XX} chain ($% \Delta_{i}=0$) and the isotropic model with ferromagnetic $J_{2}$. For $% \Delta_{1}<-1$, a ferromagnetic and two antiferromagnetic phases exist. For $| \Delta_{i}| <1$, the boundary between the dimer and spin fluid phases is determined by the method of crossing of excitation spectra. For large $J_{2}/J_{1}$, this method seems to indicate the existence of a second spin fluid critical phase. However, an analysis of the spin stiffness and magnetic susceptibility for $\Delta_{1}=\Delta_{2}=1$ suggest that a small gap is present.

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