Crépel V, Claussen N, Regnault N, Estienne B
Laboratoire de Physique de l'École Normale supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Université Paris Diderot, Sorbonne Paris Cité, Paris, 75005, France.
Laboratoire de Physique Théorique et Hautes Énergies, LPTHE, Sorbonne Université, CNRS, F-75005, Paris, France.
Nat Commun. 2019 Apr 23;10(1):1860. doi: 10.1038/s41467-019-09169-y.
Interfaces between topologically distinct phases of matter reveal a remarkably rich phenomenology. We study the experimentally relevant interface between a Laughlin phase at filling factor ν = 1/3 and a Halperin 332 phase at filling factor ν = 2/5. Based on our recent construction of chiral topological interfaces (Nat. Commun. https://doi.org/10.1038/s41467-019-09168-z ; 2019), we study a family of model wavefunctions that captures both the bulk and interface properties. These model wavefunctions are built within the matrix product state framework. The validity of our approach is substantiated through extensive comparisons with exact diagonalization studies. We probe previously unreachable features of the low energy physics of the transition. We provide, amongst other things, the characterization of the interface gapless mode and the identification of the spin and charge excitations in the many-body spectrum. The methods and tools presented are applicable to a broad range of topological interfaces.
物质拓扑不同相之间的界面展现出极为丰富的现象学。我们研究填充因子ν = 1/3时的劳克林相和填充因子ν = 2/5时的哈尔珀林332相之间与实验相关的界面。基于我们近期构建的手性拓扑界面（《自然·通讯》https://doi.org/10.1038/s41467 - 019 - 09168 - z；2019年），我们研究了一族能捕捉体相和界面性质的模型波函数。这些模型波函数是在矩阵乘积态框架内构建的。通过与精确对角化研究的广泛比较，证实了我们方法的有效性。我们探究了此前无法触及的相变低能物理特征。我们给出了界面无隙模式的特征描述以及多体谱中自旋和电荷激发的识别。所呈现的方法和工具适用于广泛的拓扑界面。
