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arXiv 1201.5928cond-mat.str-el
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铜氧化物环电流有序相中的集体模

Collective Modes in the Loop Current Ordered Phase of Cuprates

Yan He, C. M. Varma

摘要:

最近,用中子非弹性散射方法在欠掺杂铜氧化物中发现了两支弱色散集体模。极化分析表明,模式是磁激发。它们仅在低于转变温度的温度下可见,这是较早发现的对称性破缺相,并且它们的强度随着温度的进一步降低而增加。对称性破缺相本身具有与单位晶胞内的轨道电流回路的排序一致的对称性,而不破坏平移对称性。为了计算这种状态的集体模式,我们添加量子项的Ashkin-Teller(AT)模型与经典的回路电流顺序已被描述。我们导出了量子模型的平均场基态是每个单胞中回路电流阶的四种可能的经典组态的线性组合在所有单胞上的乘积。利用轨道矩算符的广义Holstein-Primakoff玻色子表示计算了集体模,得到了三个带隙弱色散集体模分支.实验结果与两个较低的能量分支是一致的,第三种模式是在一个较高的能量比目前的中子散射实验所寻找的,也可能是过阻尼。集体模式的发现的影响进行了讨论。

英文摘要:

Recently two branches of weakly dispersive collective modes have been discovered in under-doped cuprates by inelastic neutron scattering. Polarization analysis reveals that the modes are magnetic excitations. They are only visible for temperatures below the transition temperature to a broken symmetry phase which was discovered earlier and their intensity increases as temperature is further decreased. The broken symmetry phase itself has symmetries consistent with ordering of orbital current loops within a unit-cell without breaking translational symmetry. In order to calculate the collective modes of such a state we add quantum terms to the Ashkin-Teller (AT) model with which the classical loop current order has been described. We derive that the mean field ground state of the quantum model is a product over all unit-cells of linear combination of the four possible classical configurations of the loop current order in each unit-cell. The collective modes are calculated by using a generalized Holstein-Primakoff boson representation of orbital moment operators and lead to three branches of gapped weakly dispersive collective modes. The experimental results are consistent with the two lower energy branches; the third mode is at a higher energy than looked for by present neutron scattering experiments and might also be over-damped. Implications of the discovery of the collective modes are discussed.

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