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Topology Reconstruction for Asymmetric Systems by Isomorphic Mapping or Perturbation Approximation by Li, Yunlin; Chen, Jingguang; Qi, Xingchao; Xiong, Langlang; Wang, Xianjun; Liu, Yufu; Guan, Fang; Shi, Lei; Jiang, Xunya is a scholarly article available to read on EtoBox.

What is Topology Reconstruction for Asymmetric Systems by Isomorphic Mapping or Perturbation Approximation about?

The systems without symmetries, e.g. the spatial and chiral symmetries, are generally thought to be improper for topological study and no conventional integral topological invariant can be well defined. In this work, with multi-band asymmetric Rice-Mele-like systems as examples, for the first time we show that the topology of all gaps can be reconstructed by two general methods and topological origin of many phenomena are revealed. A new integral topological invariant, i.e. the renormalized real-space winding number, can properly characterize the topology and bulk-edge correspondence of such systems. For the first method, an isomorphic mapping relationship between a Rice-Mele-like system and its chiral counterpart is set up, which accounts for the topology reconstruction in the half-filling gaps. For the second method, the Hilbert space of asymmetric systems could be reduced into degenerate subspaces by perturbation approximation, so that the topology in subspaces accounts for the topology reconstruction in the fractional-filling gaps. Surprisingly, the topology reconstructed by perturbation approximation exhibits extraordinary robustness since the topological edge states even exis

Author

Li, Yunlin; Chen, Jingguang; Qi, Xingchao; Xiong, Langlang; Wang, Xianjun; Liu, Yufu; Guan, Fang; Shi, Lei; Jiang, Xunya

Published

2024

Language

EN