Correlated Zak insulator in organic antiferromagnets

Abstract

Searching for topological insulators in solids is one of the main issues of modern condensed matter physics since robust gapless edge or surface states of the topological insulators can be used as building blocks of next-generation devices. Enhancing spin-orbit couplings is a promising way to realize topological insulators in solids, whereas the amplitude of the spin-orbit couplings is not sufficiently large in most materials. Here we show a way to realize a topological state characterized by the quantized Zak phase, termed the Zak insulator, with spin-polarized edges in organic antiferromagnetic Mott insulators without relying on the spin-orbit coupling. The obtained Zak insulator can have a large charge gap compared to the conventional topological insulators, since Coulomb interactions mainly govern the amplitude of the charge gap in the antiferromagnetic Mott insulators. Besides the mean-field analysis, we demonstrate that the Zak insulator survives against electron correlation effects by calculating the many-body Zak phase. Our finding provides an unprecedented way to realize a topological state in strongly correlated electron systems.

arXiv comment8 pages, 4 figures

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• Fulde-Ferrell-Larkin-Ovchinnikov state induced by antiferromagnetic order in $\kappa$-type organic conductors
• Altermagnetism on the Shastry-Sutherland lattice
• X-ray magnetic circular dichroism originating from the $T_z$ term in collinear altermagnets under trigonal crystal field
• Polarization-based indices in quantum many-body systems: validity and extension beyond one dimension