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• W3100018136 abstract "We propose a general scheme to construct a Hamiltonian $H_{text{root}}$ describing a square root of an original Hamiltonian $H_{text{original}}$ based on the graph theory. The square-root Hamiltonian is defined on the subdivided graph of the original graph of $H_{text{original}}$, where the subdivided graph is obtained by putting one vertex on each link in the original graph. When $H_{text{original}}$ describes a topological system, there emerge in-gap edge states at non-zero energy in the spectrum of $H_{text{root}}$, which are the inherence of the topological edge states at zero energy in $H_{text{original}}$. In this case, $H_{text{root}}$ describes a square-root topological insulator or superconductor. Typical examples are square roots of the Su-Schrieffer-Heeger (SSH) model, the Kitaev topological superconductor model and the Haldane model. Our scheme is also applicable to non-Hermitian topological systems, where we study an example of a nonreciprocal non-Hermitian SSH model." @default.
• W3100018136 created "2020-11-23" @default.
• W3100018136 creator A5077969356 @default.
• W3100018136 date "2020-09-11" @default.
• W3100018136 modified "2023-10-15" @default.
• W3100018136 title "Systematic construction of square-root topological insulators and superconductors" @default.
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• W3100018136 doi "https://doi.org/10.1103/physrevresearch.2.033397" @default.
• W3100018136 hasPublicationYear "2020" @default.
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