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

Motavassal, A ; Sharif University of Technology | 2021

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevB.104.L241108
  3. Publisher: American Physical Society , 2021
  4. Abstract:
  5. We present an LC circuit model that supports a tilted “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. Nonuniform spatial dependence of the mutual inductance or capacitance induces a nontrivial geometrical structure on the emergent spacetime. Our work extends the range of usefulness of circuit models to emulate nontrivial spacetime structures. ©2021 American Physical Society
  6. Keywords:
  7. Capacitance ; Inductance ; Resonant circuits ; Spectroscopy ; Timing circuits ; Circuit modeling ; Circuit realization ; Curved spacetime ; Dirac cones ; Impedance spectroscopy ; LC circuits ; Mutual inductance ; Space time geometry ; Spectra's ; Circuit simulation
  8. Source: Physical Review B ; Volume 104, Issue 24 , 2021 ; 24699950 (ISSN)
  9. URL: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.104.L241108