Reentrant topological phase transition in a bridging model between Kitaev and Haldane chains

Article

关键词: STATES;    POLYACETYLENE;    SOLITONS;    ANTIFERROMAGNETS;    INSTABILITY;    NANOWIRE;    BREAKING;    FERMIONS;    GAP;   

DOI  :  10.1103/PhysRevB.96.245118

来源: SCIE

【 摘 要 】

We present a reentrant phase transition in a bridging model between two different topological models: Kitaev and Haldane chains. This model is activated by introducing a bond alternation into the Kitaev chain [A.Y. Kitaev, Phys. Usp. 44, 131 (2001)]. Without the bond alternation, the finite pairing potential induces a topological state defined by the zero-energy Majorana edge mode, while finite bond alternation without the pairing potential makes a different topological state similar to the Haldane state, which is defined by the local Berry phase in the bulk. The topologically ordered state corresponds to the Su-Schrieffer-Heeger state, which is classified as the same symmetry class. We thus find a phase transition between the two topological phases with a reentrant phenomenon, and extend the phase diagram in the plane of the pairing potential and the bond alternation by using three techniques: recursive equation, fidelity, and Pfaffian. In addition, we find that the phase transition is characterized by both the change of the position of Majorana zero-energy modes from one edge to the other edge and the emergence of a string order in the bulk, and that the reentrance is based on a sublattice U(1) rotation. Consequently, our paper and model not only open a direct way to discuss the bulk and edge topologies but demonstrate an example of the reentrant topologies.

【 授权许可】

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