Topological Phases and Symmetry: Latest Advances and Prospects II

Dear Colleagues,

Since topology was first introduced to explain the quantum Hall effect, topological phases have brought new insights to quantum physics and demonstrated potential applications in quantum devices and quantum computing. After the proposal of the anomalous quantum Hall effect induced by time-reversal symmetry breaking, people realized that topological phases and symmetry are intimately related. Indeed, most topological states of matter can be classified via spatial and/or non-spatial symmetries, which provides guidance for topological materials such as topological insulators. Recently, topological insulators have been generalized to higher-order topological insulators in which n-order boundary states of a d-dimensional lattice are localized at (d–n)-dimensions. However, a complete classification of higher-order topological phases via symmetry is challenging and still lacking. Another trend is extending topological phases from the field of condensed matter to ultracold atoms and to photonics. Going beyond simulating topological states of condensed matter, these new platforms with different ingredients and interactions provide new opportunities for topological phases and symmetry, such as non-Hermiticity, nonlinearity, strong interaction, and nonparaxiality of light. This Special Issue collects papers that feature the latest advances and prospects of topological phases and symmetry with a particular interest in both theories and experiments of higher-order, non-Hermitian, nonlinear, and interacting topological states.

Dr. Yongguan Ke
Prof. Dr. Honghua Zhong
Prof. Dr. Xin-You Lv
Guest Editors

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