Condensed Matter

    

Anomaly of Topological Phase Transition in One-Dimensional Fermionic Systems at Nonzero Temperature

Authors: Xiao-Dong Cui

It was realized as an important progress in the field of topological matters that the nontrivial topological phase will be violated when temperature hits or exceeds a nonzero threshold. However, the concept of anomaly of topological phase transition is firstly introduced in the paper, refering to the nontrivial topological phase at nonzero temperature transitioned from a trivial one at zero temperature. A no-go theorem is here proved that the anomaly cannot happen to one-dimensional fermionic flat-band systems. Besides, the existence of the anomaly is obtained and analyzed by reexaming the mapping of the parameters of the system Hamiltonian in momentum space which plays a pivotal role in the anomaly rather than energy band.

Comments: 11 Pages.

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Submission history

[v1] 2025-05-02 01:29:33

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