胆甾类和helimagnets中螺旋态的非线性近晶弹性
Nonlinear smectic elasticity of a helical state in cholesterics and helimagnets
摘要：
追溯到de Gennes的一般对称性论点表明，在比螺距更长的尺度上，手性液晶（CHR）和具有可忽略的晶体对称场的helimagnet中的Dzyaloshinskiii-Morya（DM）螺旋状态的低能弹性（例如，MnSi，FeGe）与近晶相液晶的相同，从而继承了其丰富的现象学。从一个手性弗兰克自由能（交换和DM相互作用的helimagnet），我们提出了一个透明的推导完全非线性戈德斯通模式的弹性，其中涉及的安德森-希格斯机制，锁定螺旋正交（导演/磁矩）框架的模拟的螺旋（螺旋）层。这明确地表明，减少三个取向模式的一个声子下到一个单一的声子戈德斯通模式，出现在尺度上长于间距。在谐波水平上，我们的结果减少到许多年前由Lubensky和合作者得出的结果。
英文摘要：
General symmetry arguments, dating back to de Gennes dictate that at scales longer than the pitch, the low-energy elasticity of a chiral nematic liquid crystal (cholesteric) and of a Dzyaloshinskii-Morya (DM) spiral state in a helimagnet with negligible crystal symmetry fields (e.g., MnSi, FeGe) is identical to that of a smectic liquid crystal, thereby inheriting its rich phenomenology. Starting with a chiral Frank free-energy (exchange and DM interactions of a helimagnet) we present a transparent derivation of the fully nonlinear Goldstone mode elasticity, which involves an analog of the Anderson-Higgs mechanism that locks the spiral orthonormal (director/magnetic moment) frame to the cholesteric (helical) layers. This shows explicitly the reduction of three orientational modes of a cholesteric down to a single phonon Goldstone mode that emerges on scales longer than the pitch. At a harmonic level our result reduces to that derived many years ago by Lubensky and collaborators.
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。
