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arXiv 0810.0717cond-mat.supr-concond-mat.stat-mech
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薄片状超导体中的涡旋相互作用

Vortex interactions in a thin platelet superconductor

Cedric Yen-Yu Lin, Ian Affleck

摘要:

超导体中涡旋的热涨落可以有效地映射到T=0时二维运动玻色子集合的量子涨落上。当超导体是一个薄的薄片,磁场平行于它的表面时,相互作用的量子玻色子有效地在一维中移动,允许应用强大的Luttinger液体方法。在这里,我们考虑如何接近这个1维的限制,研究与血小板表面和彼此的旋涡的相互作用。使用现实的参数和涡旋相互作用的欠掺杂的YBCO片,我们确定的散射长度,a,表征低能量的相互作用的涡旋对作为血小板厚度的函数。α确定低密度量子系统的Luttinger参数g,n_0:g -> 1-2an_0。

英文摘要:

The thermal fluctations of vortices in a superconductor can be usefully mapped onto the quantum fluctations of a collection of bosons at T=0 moving in 2 dimensions. When the superconductor is a thin platelet with the magnetic field parallel to its surface, the interacting quantum bosons are effectively moving in 1 dimension, allowing for powerful Luttinger liquid methods to be applied. Here we consider how this 1 dimensional limit is approached, studying the interaction of vortices with the platelet surfaces and each other. Using realistic parameters and vortex interactions for an underdoped YBCO platelet we determine the scattering length, a, characterizing the low energy interaction of a vortex pair as a function of the platelet thickness. a determines the Luttinger parameter, g, for the quantum system at low densities, n_0: g -> 1-2an_0.

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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