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arXiv 2103.02055cond-mat.softcond-mat.mtrl-scimath-phmath.MP
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Peierls-Nabarro势垒的拓扑起源

The Topological Origin of the Peierls-Nabarro Barrier

Brook J. Hocking, Helen S. Ansell, Randall D. Kamien, Thomas Machon

摘要:

由密度波描述的晶体和其他凝聚态系统经常表现出位错。在这里,我们表明,通过考虑这种系统的基态流形(GSM)的拓扑结构,在密度相场中的位错总是分裂成向错,并且向错本身被限制在GSM中的特定点。因此,GSM的拓扑结构禁止零能量位错滑移,从而产生佩雷尔斯-纳巴罗势垒。

英文摘要:

Crystals and other condensed matter systems described by density waves often exhibit dislocations. Here we show, by considering the topology of the ground state manifolds (GSMs) of such systems, that dislocations in the density phase field always split into disclinations, and that the disclinations themselves are constrained to sit at particular points in the GSM. Consequently, the topology of the GSM forbids zero-energy dislocation glide, giving rise to a Peirels-Nabarro barrier.

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