Emergence of Luttinger Liquid Behavior of a Superclimbing Dislocation

Emergence of Luttinger Liquid Behavior of a Superclimbing Dislocation
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超爬位错的卢廷格液体行为的出现

DOI:
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发表时间:
2016
期刊:
影响因子:
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通讯作者:
A. Kuklov
A. Kuklov
中科院分区:
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文献类型:
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作者:
Max Yarmolinsky;A. Kuklov

文献摘要

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根据基本标度尺寸分析,固体中具有超流核的通用刃位错 $^{4}mathrm{He}$ 表示非拉廷格液体,因为它的可压缩性很大,也就是说,它发散为位错长度的平方。然而,蒙特卡罗模拟表明,随着温度降低,这种位错会产生有限的压缩性。此外,对于某些参数,位错可能会转变为绝缘状态,而与填充因子无关。化学势造成的外部宏观微小偏差可以恢复巨大的压缩性。这些特征的实验验证是与理解固体超流以及固体$^{4}mathrm{He}$中的注射器效应的持续努力相关的。
A generic edge dislocation with superfluid core in solid $^{4}mathrm{He}$ represents a non-Luttinger liquid according to the elementary scaling dimensional analysis because its compressibility is giant, that is, it diverges as square of the dislocation length. Monte Carlo simulations, however, reveal that such a dislocation develops finite compressibility as temperature is lowered. Furthermore, for certain parameters the dislocation can undergo a transition into insulating state regardless of the filling factor. External macroscopically small bias by chemical potential can restore the giant compressibility. Experimental verifications of these features are proposed in connection with the ongoing efforts to understand the superflow-through-solid as well as the syringe effects in solid $^{4}mathrm{He}$.