将电荷密度波输运中的多链相互作用与利用波泛函形成孤子-反孤子对进行类比
Making an analogy between a multi chain interaction in charge density wave transport and the use of wavefunctionals to form soliton- anti soliton pairs
摘要：
数值模拟表明，用于求解电荷密度波（CDW）输运的大质量Schwinger模型不足以求解孤子-反孤子对通过CDW输运的钉扎能隙模型的输运。然而，具有用于耦合相邻链（或横波矢量）的Peierls凝聚能的模型哈密顿量允许形成孤子-反孤子对，其可用于传输CDW通过势垒。这种结构与用于证明波泛函形成孤立子-反孤立子对的充要条件的假真空假设之间存在类比。这可以通过使用Bogomol'nyi不等式或通过使用假真空假设获得孤子-反孤子对电荷中心之间的成比例距离而产生的实验伪像来建立
英文摘要：
A numerical simulation shows that a massive Schwinger model used to formulate solutions to charge density wave (CDW) transport is insufficient for transport of soliton- anti soliton pairs through a pinning gap model of CDW transport. However, a model Hamiltonian with Peierls condensation energy used to couple adjacent chains (or transverse wave vectors) permits formation of soliton - anti soliton pairs that could be used to transport CDW through a potential barrier. There are analogies between this construction and the false vacuum hypothesis used for showing a necessary and sufficient condition for wave functionals for formation of soliton - anti soliton pairs. This can be established by either use of the Bogomol'nyi inequality or through an experimental artifact resulting through use of the false vacuum hypothesis to obtain a proportional distance between the soliton - anti soliton pair charge centers
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