Topological edge states of massless fermion with non-quantized and zero Berry phases

2024/06/25 by F. R. Pratama, Takeshi Nakanishi, Pratama, F. R. +1 · 1 citation
Chemistry · Physics and Astronomy · #FOS: Physical sciences #History and advancements in chemistry #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum Mechanics and Non-Hermitian Physics #Topological Materials and Phenomena

paper · pdf · doi:10.48550/arxiv.2406.17914

openalex publication_date 2024/06/25 · openalex created_date 2024/06/28 · openalex updated_date 2026/07/28

Abstract

We investigate the bulk-boundary correspondence for massless Dirac fermion in α-T₃ lattice where the Berry phase can be continuously tuned from π (graphene) to 0 (T₃ or dice lattice) without modifying the energy dispersion. The topological origin of edge states is revealed by unitary transform of the Hamiltonian, which maps α-T₃ zigzag ribbon (ZR) into stub Su-Schrieffer-Heeger (SSH) chain. In the Majorana representation of the eigenstates, the ℤ₂ invariant is manifested by azimuthal winding numbers on the Bloch sphere. Particularly, T₃ ZR exemplifies a topologically nontrivial system with zero Berry phase. Contrary to the conventional topological insulators, band gap closing in the corresponding stub SSH chain is not accompanied by a topological phase transition.

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