Interplay between intrinsic and emergent topological protection on interacting helical modes

Interplay between intrinsic and emergent topological protection on interacting helical modes
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相互作用的螺旋模式上固有和紧急拓扑保护之间的相互作用

DOI:
10.1103/physrevb.99.075129
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发表时间:
2019
期刊:
影响因子:
3.7
通讯作者:
Santos R
Santos R
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Santos R

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研究了具有时间反转对称性的二维拓扑绝缘子的拓扑与边缘相互作用之间的相互作用。我们考虑一个简单的三螺旋通道非相互作用系统,具有固有拓扑保护,因此具有零温度电导。我们表明,当相互作用加入到模型中时,基态作为相互作用参数的函数表现出两个不同的相位。其中一个相在零温度下是一个平凡的绝缘体,因为保护非相互作用拓扑相的对称性被自发地破坏了。在这个相中,在零温度下,电导为零。另一相表现出增强的拓扑特性,具有拓扑保护的零温度电导和晶格模型中不存在的紧急对称性。这一阶段的中性扇区由大量的参数描述。此状态是动态增强的对称保护拓扑状态的一个示例。
The interplay between topology and interactions on the edge of a two-dimensional topological insulator with time-reversal symmetry is studied. We consider a simple noninteracting system of three helical channels with an inherenttopological protection and hence a zero-temperature conductance of. We show that when interactions are added to the model, the ground state exhibits two different phases as a function of the interaction parameters. One of these phases is a trivial insulator at zero temperature, as the symmetry protecting the noninteracting topological phase is spontaneously broken. In this phase there is zero conductance () at zero temperature. The other phase displays enhanced topological properties, with a topologically protected zero-temperature conductance ofand an emergentsymmetry not present in the lattice model. The neutral sector in this phase is described by a massive version ofparafermions. This state is an example of a dynamically enhanced symmetry-protected topological state.
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