Boundary criticality of Chern insulator in two-dimensional Su-Schrieffer-Heeger model with next-nearest-neighbor hopping

Hu, Kai-Xin; Yan, Yu; Zhang, Zhi-Xu; Liu, Shutian; Zhang, Shou; Wang, Hong-Fu

doi:10.1103/physreva.109.022211

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2024

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“…Their appearance is due to the nonzero Berry curvature induced by spin-orbit couplings. When it is integrated over momentum space, it yields a magnetic monopole that is characterized by the Chern number.The Chern number, which is determined by complex wave vectors, is employed to describe the second-order topological phases in the 2D SSH model [4,5]. New research indicates that solitons are essential for the charge-transfer doping mechanism as they require less energy to form than band excitations [6,7].…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional Su-Schrieffer-Heeger model with imaginary potentials and nonreciprocal couplings

Wang,

Li,

Zhang

et al. 2024

Phys. Scr.

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We examine the 2D-SSH model and focus on its topological states and skin effects resulting from imaginary potentials and nonreciprocal couplings. Our calculations demonstrate that inducing topological edge and corner states allows for different topological phase transitions in the 2D-SSH model. The topological phase transition is achieved by adjusting the ratio of the intercell electron hopping to the intracell electron hopping. The PT symmetry of the system is destroyed when an imaginary potential is present. If non-reciprocal effects are introduced, then skin effects will be seen. This work contributes to understanding how the interplay between imaginary potentials and nonreciprocal couplings modulates the skin effects and topological states in 2D-SSH model.

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