2018/11/01 by Da-Jian Zhang, Jiangbin Gong
Materials Science · Mathematics · Physics and Astronomy · #Characterization (materials science) #Combinatorics #Computer science #Graphene research and applications #Limit (mathematics) #Mathematical analysis #Mathematics #Measure (data warehouse) #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Symmetry protected topological order #Topological Materials and Phenomena #Topological order #Topology (electrical circuits) #cond-mat.mes-hall #quant-ph
paper · pdf · doi:10.1103/physreva.98.052101
published as Phys. Rev. A. 98, 052101 (2018) · 7 pages, 4 figures
openalex publication_date 2018/11/01 · arxiv created 2020/05/11 · arxiv updated 2020/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A topological measure characterizing symmetry-protected topological phases in one-dimensional open fermionic systems is proposed. It is built upon the kinematic approach to the geometric phase of mixed states and facilitates the extension of the notion of topological phases from zero-temperature to nonzero-temperature cases. In contrast to a previous finding that topological properties may not survive above a certain critical temperature, we find that topological properties of open systems, in the sense of the measure suggested here, can persist at any finite temperature and disappear only in the mathematical limit of infinite temperature. Our result is illustrated with two paradigmatic models of topological matter. The bulk topology at nonzero temperatures manifested as robust mixed edge state populations is examined via two figures of merit.