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

  title={Circuit realization of a tilted Dirac cone: Platform for fabrication of curved spacetime geometry on a chip},
  author={A. Motavassal and Seyed Akbar Jafari},
  journal={Physical Review B},
We present a LC circuit model that supports 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… 

Figures and Tables from this paper

Electron Currents from Gradual Heating in Tilted Dirac Cone Materials
Materials hosting tilted Dirac/Weyl fermions upgrade the solid-state phenomena into a new spacetime structure. They admit a geometric description in terms of an effective spacetime metric. Using this


Hyperbolic lattices in circuit quantum electrodynamics
It is shown that networks of coplanar waveguide resonators can create a class of materials that constitute lattices in an effective hyperbolic space with constant negative curvature and a proof-of-principle experimental realization of one such lattice is presented.
How to tune the tilt of a Dirac cone by atomic manipulations?
We decipher the microscopic mechanism of the formation of tilt in the two-dimensional Dirac cone of 8Pmmn borophene sheet. With the aid of ab initio calculations, we identify relevant low-energy
Uniform tiling with electrical resistors
The electric resistance between two arbitrary nodes on any infinite lattice structure of resistors that is a periodic tiling of space is obtained. Our general approach is based on the lattice Green's
Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
The guiding principle of the classification is to find irreducible representations of the little group of lattice symmetries at high-symmetry points in the Brillouin zone for each of the 230 space groups (SGs), the dimension of which corresponds to the number of bands that meet at the high-Symmetry point.
Topological LC-circuits based on microstrips and observation of electromagnetic modes with orbital angular momentum
It is demonstrated directly that topological interfacial electromagnetic waves launched by a linearly polarized dipole source propagate in opposite directions according to the sign of the orbital angular momentum.
High-Temperature Superconductivity in a Hyperbolic Geometry of Complex Matter from Nanoscale to Mesoscopic Scale
While it was known that high-temperature superconductivity appears in cuprates showing complex multiscale phase separation due to inhomogeneous charge density wave (CDW) order, the spatial
Topolectrical Circuits
Invented by Alessandro Volta and Félix Savary in the early 19th century, circuits consisting of resistor, inductor and capacitor (RLC) components are omnipresent in modern technology. The behavior of
Green's functions in quantum physics
Contents: Green's Functions in Mathematical Physics: Time-Independent Green's Functions. Time-Dependent Green's Functions.- Green's Functions in One-Body Quantum Problems: Physical Significance of G.
Statistical Physics
Statistical Physics. By F. Mandl. Pp. xiii + 379. (Wiley: London and New York, July 1971.) £2.75. Statistical Physics. By A. Isihara. Pp. xv + 439. (Academic: New York and London, June 1971.) $18.50;