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Multimode Peierls distortion in triangular lattice

机译:三角晶格中的多模Peierls畸变

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We have studied the multimode Peierls states in the electron–lattice system on a triangular lattice with a three-quarter-filled electronic band. Below the transition temperature, we have found many stable states of nearly same free-energy. Focusing our attention on the lowest free-energy state, we have found that the Peierls order parameter continuously increases from zero just below the transition temperature. When the temperature is raised from the region lower than the critical temperature, multiple phonon modes are simultaneously softened at the same temperature as when the temperature is lowered from the region higher that the critical temperature. These results tell us that the transition is of the second order. The non-softened modes are also found to condense due to nonlinear coupling between the non-softened modes and the softened modes. The degeneracy of the phonon modes observed at the higher temperature region is partially lifted at the lower temperature region.
机译:我们研究了在四分之三填充的电子带的三角晶格上的电子-晶格系统中的多模Peierls态。在转变温度以下,我们发现了几乎相同自由能的许多稳定状态。将注意力集中在最低的自由能态上,我们发现Peierls阶数参数从零开始连续升高,恰好低于转变温度。当温度从低于临界温度的区域升高时,多个声子模在与从高于临界温度的区域降低温度时相同的温度下同时软化。这些结果告诉我们,过渡是二阶的。还发现由于非软化模式与软化模式之间的非线性耦合而使非软化模式冷凝。在较高温度区域观察到的声子模的简并性在较低温度区域被部分提升。

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