Spin-Peierls transition in an anisotropic two-dimensional XY model

Details Spin-Peierls transition in an anisotropic two-dimensional XY model Spin-Peierls transition in an anisotropic two-dimensional XY model

1999-11-09

arxiv.org/abs/cond-mat/9911119v2

Phys. Rev. B 64, 012414 (2001)

Physics

Condensed Matter

Strongly Correlated Electrons

2 eps figures, considerable revisions were made

Scientific paper

10.1103/PhysRevB.64.012414

The two-dimensional Jordan-Wigner transformation is used to investigate the zero temperature spin-Peierls transition for an anisotropic two-dimensional XY model in adiabatic limit. The phase diagram between the dimerized (D) state and uniform (U) state is shown in the parameter space of dimensionless interchain coupling $h$ $(=J_{\perp}/J)$ and spin-lattice coupling $\eta$. It is found that the spin-lattice coupling $\eta$ must exceed some critical value $\eta_c$ in order to reach the D phase for any finite $h$. The dependence of $\eta_c$ on $h$ is given by $-1/\ln h$ for $h\to 0$ and the transition between U and D phase is of first-order for at least $h>10^{-3}$.

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