AUTHOR=Chen Xiao-Cui , Nie Xiao-Feng , Li Ye-Wei-Yi , Cui Wen-Xue TITLE=Symmetries and topological phase transitions in modified Haldane models with long-range hoppings and gain-loss effects JOURNAL=Frontiers in Physics VOLUME=Volume 13 - 2025 YEAR=2025 URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2025.1572883 DOI=10.3389/fphy.2025.1572883 ISSN=2296-424X