Speaker
Description
In last two decades identification of topological properties in low dimensional quantum materials (specifically one and two-dimensional) has been one of the principal area of investigation condensed matter research. It resulted in several impressive discoveries, e.g., topological insulators, topological superconductors, topological Hall effect etc. The related underlying theory had been built in the free electron
approximations, i.e. the Coulomb interactions between electrons have been neglected [4, 1]. However, there remains a large class of quantum materials where the electron correlation can not be neglected [3]. One needs a completely different approach to analyze the topological properties of these materials [2]. We will discuss a possible approach to treat the materials with strong electron-electron correlation. We will
also show some examples how the model can be applied to one-dimensional and two-dimensional quantum matters .
References
[1] Haldane F. Duncan M. Nobel Lecture: Topological Quantum Matter // Reviews of Modern Physics. 2017. 89, 4. 040502.
[2] Maciejko Joseph, Fiete Gregory A. Fractionalized Topological Insulators // Nature Physics. 2015. 11, 5. 385–388.
[3] Paschen Silke, Si Qimiao. Quantum Phases Driven By Strong Correlations // Nature Reviews Physics. 2020. 3, 1. 9–26.
[4] Qi Xiao-Liang, Zhang Shou-Cheng. Topological Insulators and Superconductors // Reviews of Modern Physics. 2011. 83, 4. 1057–1110.
