Circuit realization of tilted Dirac cone: A platform for fabrication of curved spacetime geometry on a chip

Abstract

We present a LC circuit model that supports tilted {\it Dirac cone} in its spectrum. The tilt of the Dirac cone is specified by the parameters of the model consisting of mutual inductance between the neighboring sites and a capacitance C0 at every lattice site. These parameters can be completely measured by impedance spectroscopy. Given that a tilted Dirac cone can be described by a background spacetime metric, the impedance spectroscopy can perfectly provide (local) information about the metric of the spacetime. Non-uniform spatial dependence of the mutual inductance or capacitance induces non-trivial geometrical structure on the emergent spacetime.

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Cited by in corpus (7)

• Tunning the tilt of a Dirac cone by atomic manipulations: application to 8Pmmn borophene
• Twisted-bilayer FeSe and the Fe-based superlattices
• Polarizability, plasmons, and screening in 1T${}^{\prime }$-MoS${}_2$ with tilted Dirac bands
• Tilted Dirac Cones in Two-Dimensional Materials: Impact on Electron Transmission and Pseudospin Dynamics
• Hawking radiation on the lattice from Floquet and local Hamiltonian quench dynamics
• Holographic Hydrodynamics of {\it Tilted} Dirac Materials
• Smart Holes: Analogue black holes with the right temperature and entropy