Néel and disordered phases of coupled Heisenberg chains with $S=1/2$ to S=4

Details Néel and disordered phases of coupled Heisenberg chains with $S=1/2$ to S=4 Néel and disordered phases of coupled Heisenberg chains with $S=1/2$ to S=4

2005-10-20

arxiv.org/abs/cond-mat/0510552v1

Physics

Condensed Matter

Strongly Correlated Electrons

13 pages, 22 figures

Scientific paper

10.1088/1742-5468/2006/02/P02002

We use the two-step density-matrix renormalization group method to study the effects of frustration in Heisenberg models for $S=1/2$ to S=4 in a two-dimensional anisotropic lattice. We find that as in $S=1/2$ studied previously, the system is made of nearly disconnected chains at the maximally frustrated point, $J_d/J_{\perp}=0.5$, i.e., the transverse spin-spin correlations decay exponentially. This leads to the following consequences: (i) all half-integer spins systems are gapless, behaving like a sliding Luttinger liquid as in $S=1/2$; (ii) for integer spins, there is an intermediate disordered phase with a spin gap, with the width of the disordered state is roughly proportional to the 1D Haldane gap.

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