Abstract
We propose an resistors, inductors and capacitors (RLC) electrical circuit to theoretically analyze and fully simulate a new type of non-Hermitian Su-Schrieffer-Heeger (SSH) model with complex hoppings. We formulate its construction and investigate its properties by taking advantage of the circuit’s versatility. Rich physical properties can be identified in this system from the normal modes of oscillation of the RLC circuit, including the highly tunable bulk-edge correspondence between topological winding numbers and edge states and the non-Hermitian skin phenomenon originating from a novel complex energy plane topology. The present study is able to show the wide and appealing topological physics inherent to electric circuits, which is readily generalizable to a plenty of both Hermitian and non-Hermitian nontrivial systems.
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D.-A. Galeano and J. Mahecha acknowledge partial support from the Universidad de Antioquia, Colombia under Initiative (Grant No. CODI ES84180154), Estrategia de sostenibilidad del Grupo de Física Atómica y Molecular, and Projects (Grant Nos. CODI 251594, and 2019-24770). X.-X. Zhang thanks the support from the Riken Special Postdoctoral Researcher Program and the Max Planck-UBC-UTokyo Center for Quantum Materials.
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Galeano, DA., Zhang, XX. & Mahecha, J. Topological circuit of a versatile non-Hermitian quantum system. Sci. China Phys. Mech. Astron. 65, 217211 (2022). https://doi.org/10.1007/s11433-021-1783-3
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DOI: https://doi.org/10.1007/s11433-021-1783-3