Corroborating the bulk-edge correspondence in weakly interacting one-dimensional topological insulators

Zegarra Antonio; Candido Denis R.; Egues J. Carlos; Chen Wei

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Corroborating the bulk-edge correspondence in weakly interacting one-dimensional topological insulators

机译：验证弱相互作用的一维拓扑绝缘体中的体-边对应关系

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We present a Green's function formalism to investigate the topological properties of weakly interacting one-dimensional topological insulators, including the bulk-edge correspondence and the quantum criticality near topological phase transitions, and using the interacting Su-Schrieffer-Heeger model as an example. From the many-body spectral function, we find that closing of the bulk gap remains a defining feature even if the topological phase transition is driven by interactions. The existence of edge state in the presence of interactions can be captured by means of a T-matrix formalism combined with Dyson's equation, and the bulk-edge correspondence is shown to be satisfied even in the presence of interactions. The critical exponent of the edge state decay length is shown to be affiliated with the same universality class as the noninteracting limit.

机译：我们提出一种格林函数形式主义，以研究弱相互作用的一维拓扑绝缘体的拓扑特性，包括体-边对应关系和拓扑相变附近的量子临界性，并以相互作用的Su-Schrieffer-Heeger模型为例。从多体光谱函数中，我们发现，即使拓扑相变是由相互作用驱动的，整体间隙的闭合仍然是一个定义特征。可以通过将T矩阵形式主义与戴森方程相结合，来捕获存在相互作用时边缘状态的存在，并且即使在存在相互作用的情况下，也可以满足体-边对应关系。边缘状态衰变长度的临界指数被证明与非相互作用极限具有相同的通用性。

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《Physical review》 |2019年第7期|075114.1-075114.7|共7页
作者
Zegarra Antonio; Candido Denis R.; Egues J. Carlos; Chen Wei;
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Pontificia Univ Catolica Rio de Janeiro Dept Phys BR-22451900 Rio de Janeiro Brazil;

Univ Sao Paulo Inst Fis Sao Carlos BR-13560970 Sao Carlos SP Brazil|Univ Chicago Inst Mol Engn Chicago IL 60637 USA|Univ Iowa Dept Phys & Astron Iowa City IA 52242 USA|Univ Iowa Opt Sci & Technol Ctr Iowa City IA 52242 USA;

Univ Sao Paulo Inst Fis Sao Carlos BR-13560970 Sao Carlos SP Brazil;

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1. Corroborating the bulk-edge correspondence in weakly interacting one-dimensional topological insulators [J] . Zegarra Antonio, Candido Denis R., Egues J. Carlos, Physical review, B . 2019,第7期

机译：在弱相互作用的一维拓扑绝缘体中证实散装边缘对应关系
2. Bulk-Edge Correspondence for Two-Dimensional Floquet Topological Insulators [J] . Graf Gian Michele, Tauber Clement Annales Henri Poincare . 2018,第3期

机译：二维浮子拓扑绝缘体的散装边缘对应
3. APS -APS March Meeting 2017 - Event - Comparative study of Weyl semimetal and topological/Chern insulators: bulk-edge correspondence and disorder effects [J] . Ken Imura, Yukinori Yoshimura, Koji Kobayashi, Bulletin of the American Physical Society . 2017,第4期

机译：APS -APS 2017年3月会议-活动-Weyl半金属与拓扑/ Chern绝缘子的比较研究：体边缘对应和无序效应
4. Bulk-edge correspondence in topological transport and pumping [C] . Ken-Ichiro Imura, Yukinori Yoshimura, Takahiro Fukui, International Conference on Low Temperature Physics . 2017

机译：拓扑运输和泵送的散装边缘对应
5. Exotic surface states of topological insulators and topological superconductors - quasiparticle scattering in the surface of 3d topological insulators and realization of majorana fermions. [D] . Zhou, Xiaoting. 2013

机译：拓扑绝缘子和拓扑超导体的外来表面状态-3d拓扑绝缘子表面中的准粒子散射和马约拉那费米子的实现。
6. Superconductivity in HfTe5 across weak to strong topological insulator transition induced via pressures [O] . Y. Liu, Y. J. Long, L. X. Zhao, -1

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7. Bulk-Edge correspondence for two-dimensional Floquet topological insulators [O] . Graf, Gian Michele, Tauber, Clément 2017

机译：二维Floquet拓扑的Bulk-Edge对应绝缘子
8. Resonant tunneling and persistent current of a non-interacting and weakly interacting one-dimensional electron gas [R] . Krive, I. V. , Sandstroem, P. 1997

机译：共振隧穿和非相互作用和弱相互作用的一维电子气的持续电流

Corroborating the bulk-edge correspondence in weakly interacting one-dimensional topological insulators

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