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arXiv 1503.08775cond-mat.soft
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弹性连续体理论:充分理解扭转-弯曲变形阶段

Elastic continuum theory: Fully understanding of the twist-bend nematic phases

Giovanni Barbero, Luiz Roberto Evangelista, Michely Patrícia Rosseto, Rafael Soares Zola, Ioannis Lelidis

摘要:

扭转-弯曲取向相$N_{\rm TB}$可被视为螺旋分子排列,其中指向矢$\bf n$围绕额外指向矢场$\bf t$均匀旋进。它对应于表现出纳米级周期性调制的电子基态。为了从弹性的角度证明该相的稳定性,提出了Frank弹性能量密度的自然扩展。弹性能量密度是建立在新相位的对称元素,其中介入这些指向矢场的分量与通常的笛卡尔张量一起。结果表明,基态对应于一个变形状态,其中$K_{22} > K_{33}$。当弹性自由能被解释在类比与朗道理论,它表明存在一个二阶相变之间的通常和扭曲-弯曲双相,驱动一个新的弹性参数发挥类似的作用的一个主要的介电各向异性的经典向列相,并密切相关的体积压缩模量代表的伪层的扭曲-弯曲双相。根据实验结果,预测了一个相变和纳米间距的值。

英文摘要:

The twist-bend nematic phase, $N_{\rm TB}$, may be viewed as a heliconical molecular arrangement in which the director $\bf n$ precesses uniformly about an extra director field, $\bf t$. It corresponds to a nematic ground state exhibiting nanoscale periodic modulation. To demonstrate the stability of this phase from the elastic point of view, a natural extension of the Frank elastic energy density is proposed. The elastic energy density is built in terms of the elements of symmetry of the new phase in which intervene the components of these director fields together with the usual Cartesian tensors. It is shown that the ground state corresponds to a deformed state for which $K_{22} > K_{33}$. When the elastic free energy is interpreted in analogy with the Landau theory, it is demonstrated the existence of a second order phase transition between the usual and the twist-bend nematic phase, driven by a new elastic parameter playing a role similar to the one of the main dielectric anisotropy of classical nematics and being closely related to the bulk compression modulus representing the pseudo-layers of twist-bend nematic phases. A phase transition and the value of the nanoscale pitch are predicted in accordance to experimental results.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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