Tilted Dirac-like microwave cones in superconducting circuit lattices

Dirac-like band crossings are paradigms in condensed-matter systems to emulate high-energy physics phenomena. They are associated with two aspects: gap and tilting. The ability to design a sign-changing gap gives rise to band topology, whereas the tilting of band crossings, which is a gateway for large gravitylike effects remains uncharted. In this work, we introduce an experimental platform to realize tilted Dirac-like microwave cone in large-scale superconducting circuit lattices. The direction and magnitude of the tilt can be controlled by engineering the axially preferred second-neighbor coupling. We demonstrate three lattices with 731-site LC resonator featuring tilt values of up to 59% of relative difference in the opposite-direction group velocities. This is obtained by reconstructing the density of states (DOS) of measured microwave resonance frequencies. Harnessing the tilt of Dirac-like band crossings lays the foundation for weaving the fabric of an emergent solid-state spacetime.