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arXiv 0708.4181cond-mat.str-el
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三腿海森堡阶梯中的自旋-佩尔斯不稳定性

Spin-Peierls instability in the three-leg Heisenberg ladder

Mohamed Azzouz, Khalada Shahin, Gennady Y. Chitov

摘要:

由于三腿阶梯的行为像一个重整化的海森堡链,我们认为,自旋Peierls不稳定性必须发生在这个系统中,当它耦合到三维声子。使用键平均场论,我们表明,这确实是这种情况。在自旋-Peierls转变温度以下的二聚态形成柱状二聚相,而不是交错二聚相。这与基于反铁磁性的论点形成对比。一个物理参数的基础上,而自旋成键的单线态解释了为什么柱状配置是有利的。在二聚链的柱状排列中不会发生量子临界性(无间隙性)。

英文摘要:

Because the three-leg ladder behaves like a renormalized single Heisenberg chain we argue that a spin-Peierls instability must occur in this system when it is coupled to three-dimensional phonons. Using the bond-mean-field theory, we show that this is indeed the case. The dimerized state below the spin-Peierls transition temperature forms into the columnar dimerized phase not the staggered one. This contrasts with the argument based on antiferromagnetism. A physical argument based rather on spin bonding into singlets explains why the columnar configuration is favored. No quantum criticality (gaplessness) can occur in the columnar arrangement of the dimerized chains.

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