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arXiv · 2303.10911

Engineering Higher-Order Dirac and Weyl Semimetallic phase in 3D Topolectrical Circuits

S. M. Rafi-Ul-Islam·Zhuo Bin Siu·Haydar Sahin·Mansoor B. A. Jalil
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Abstract

We propose a 3D topolectrical (TE) network that can be tuned to realize various higher-order topological gapless and chiral phases. We first study a higher-order Dirac semimetal phase that exhibits a hinge-like Fermi arc linking the Dirac points. This circuit can be extended to host highly tunable first- and second-order Weyl semimetal phases by introducing a non-reciprocal resistive coupling in the x-y plane that breaks time reversal symmetry. The first- and second-order Weyl points are connected by zero-admittance surface and hinge states, respectively. We also study the emergence of first- and second-order chiral modes induced by resistive couplings between similar nodes in the z-direction. These modes respectively occur in the midgap of the surface and hinge admittance bands in our circuit model without the need for any external magnetic field.

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S. M. Rafi-Ul-Islam, Zhuo Bin Siu, Haydar Sahin, Mansoor B. A. Jalil. 2023-03-20. Engineering Higher-Order Dirac and Weyl Semimetallic phase in 3D Topolectrical Circuits. https://arxiv.org/abs/2303.10911

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