  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.

Mesoscale and Nanoscale Physics;Materials Science