论文标题

各向异性仪表理论的分层阶段:拓扑绝缘子的模型

The layered phase of anisotropic gauge theories: A model for topological insulators

论文作者

Nicolis, Stam

论文摘要

拓扑绝缘子是电流不流经批量而是沿边界的材料。它们具有尤其重要的意义,因为“传统”的手段要比传统材料的情况更加困难,而要影响其运输特性。因此,它们对扰动尤其强大。实现此类更改的一种方法是通过工程缺陷。研究最多的缺陷是域墙。但是,助焊剂压缩也可以起作用。我们回想起域壁的构建,并将其与磁通压实的结构进行了比较。 这种缺陷的特殊方法是为仪表场引入各向异性耦合。在这种情况下,出现了一个新阶段,在沿层限制物质和当地自由程度的情况下,无法通过批量传播。还可以考虑到缺陷上规范场的动力学的``反应'',并发现一个新的阶段,分层阶段,在该阶段,虽然当地自由度的运输限制在表面上,但拓扑特性可以通过散装来宣传,构成一个偏见流的示例。 各向异性本身可以理解为从特定的麦克斯韦(Dilaton)耦合中出现。

Topological insulators are materials where current does not flow through the bulk, but along the boundaries, only. They are of particular practical importance, since it is considerably more difficult, by ``conventional'' means, to affect their transport properties, than for the case of conventional materials. They are, thus, particularly robust to perturbations. One way to accomplish such changes is by engineering defects. The defects that have been the most studied are domain walls; however flux compactifications can, also, work. We recall the domain wall construction and compare it to the construction from flux compactification. A particular way of engineering the presence of such defects is by introducing anisotropic couplings for the gauge fields. In this case a new phase appears, where matter is confined along layers and local degrees of freedom cannot propagate through the bulk. It is, also, possible to take into account the ``backreaction'' of the dynamics of the gauge fields on the defects and find that a new phase, the layered phase, where, while transport of local degrees of freedom is confined to surfaces, the topological properties can propagate through the bulk, constituting an example of anomaly flow. The anisotropy itself can be understood as emerging from a particular Maxwell--dilaton coupling.

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