arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1610.04734cond-mat.mes-hallgr-qchep-th
收藏

基于Maxwell代数的拓扑绝缘体几何模型

Geometric Model of Topological Insulators from the Maxwell Algebra

Giandomenico Palumbo

摘要:

提出了一种新的三维拓扑绝缘体的几何模型。这些系统的带隙边界支持相对论量子霍尔态,并由具有麦克斯韦代数中取值的规范连接的陈-西蒙斯理论描述。这代表了庞加莱代数的非中心扩展,并考虑了表面态的洛伦兹对称性和磁平移对称性。这样,我们得到了相对论版本的Wen-Zee项,我们表明,非最小的背景几何和电磁场之间的耦合模型是在平坦空间中的相对论量子霍尔态的主要性质一致。

英文摘要:

We propose a novel geometric model of three-dimensional topological insulators in presence of an external electromagnetic field. The gapped boundary of these systems supports relativistic quantum Hall states and is described by a Chern-Simons theory with a gauge connection that takes values in the Maxwell algebra. This represents a non-central extension of the Poincaré algebra and takes into account both the Lorentz and magnetic-translation symmetries of the surface states. In this way, we derive a relativistic version of the Wen-Zee term, and we show that the non-minimal coupling between the background geometry and the electromagnetic field in the model is in agreement with the main properties of the relativistic quantum Hall states in the flat space.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑