Gauge theory description of spin ladders

Gauge theory description of spin ladders
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自旋梯的规范理论描述

DOI:
10.1088/0305-4470/30/22/003
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发表时间:
1997
期刊:
Journal of Physics A
影响因子:
--
通讯作者:
Y. Hosotani
Y. Hosotani
中科院分区:
--
文献类型:
--
作者:
Y. Hosotani

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反铁磁自旋链相当于强耦合状态下均匀背景电荷密度的双味无质量施温格模型。自旋链的无间隙模式由施温格模型的无质量玻色子表示。在两足自旋梯系统中,无质量玻色子由于链间相互作用而获得有限质量。发现当链间海森堡耦合与链内海森堡耦合相比较小时,能隙能量约为。还表明,循环对称腿梯系统对于奇数或偶数分别是无间隙或有间隙的。
An antiferromagnetic spin chain is equivalent to the two-flavour massless Schwinger model in a uniform background charge density in the strong coupling regime. The gapless mode of the spin chain is represented by a massless boson of the Schwinger model. In a two-leg spin ladder system the massless boson aquires a finite mass due to inter-chain interactions. The gap energy is found to be about when the inter-chain Heisenberg coupling is small compared with the intra-chain Heisenberg coupling. It is also shown that a cyclically symmetric -leg ladder system is gapless or gapful for an odd or even , respectively.