Quantum field theory in curved graphene spacetimes, Lobachevsky geometry, Weyl symmetry, Hawking effect, and all that

Abstract

The solutions of many issues, of the ongoing efforts to make deformed graphene a tabletop quantum field theory in curved spacetimes, are presented. A detailed explanation of the special features of curved spacetimes, originating from embedding portions of the Lobachevsky plane into ${\mathbf{R}}^3$, is given, and the special role of coordinates for the physical realizations in graphene, is explicitly shown, in general, and for various examples. The Rindler spacetime is reobtained, with new important differences with respect to earlier results. The de Sitter spacetime naturally emerges, for the first time, paving the way to future applications in cosmology. The role of the BTZ black hole is also briefly addressed. The singular boundary of the pseudospheres, "Hilbert horizon", is seen to be closely related to event horizon of the Rindler, de Sitter, and BTZ kind. This gives new, and stronger, arguments for the Hawking phenomenon to take place. An important geometric parameter, $c$, overlooked in earlier work, takes here its place for physical applications, and it is shown to be related to graphene's lattice spacing, $\ell$. It is shown that all surfaces of constant negative curvature, $\mathcal{K}=-r^{-2}$, are unified, in the limit $c/r\to 0$, where they are locally applicable to the Beltrami pseudosphere. This, and $c=\ell$, allow us a) to have a phenomenological control on the reaching of the horizon; b) to use spacetimes different than Rindler for the Hawking phenomenon; c) to approach the generic surface of the family. An improved expression for the thermal LDOS is obtained. A non-thermal term for the total LDOS is found. It takes into account: a) the peculiarities of the graphene-based Rindler spacetime; b) the finiteness of a laboratory surface; c) the optimal use of the Minkowski quantum vacuum, through the choice of this Minkowski-static boundary.

50 pages, 10 figures; it matches published version (hence is much shorter, has a new abstract, many details are skipped and left to a forthcoming review)

References in corpus (16)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• The structure of suspended graphene sheets
• Colloquium: The transport properties of graphene: An introduction
• Midgap states and charge inhomogeneities in corrugated graphene
• Gauge field induced by ripples in graphene
• Effects of topological defects and local curvature on the electronic properties of planar graphene
• Charge inhomogeneities due to smooth ripples in graphene sheets
• Electronic properties of curved graphene sheets
• Weyl-Gauge Symmetry of Graphene
• Using Weyl symmetry to make Graphene a real lab for fundamental physics
• Bound States in Gapped Graphene with Impurities : Effective Low-Energy Description of Short-Range Interactions
• Graphene: QFT in curved spacetimes close to experiments
• Low energy electron-phonon effective action from symmetry analysis
• Testing Hawking particle creation by black holes through correlation measurements
• Alternative Symmetries in Quantum Field Theory and Gravity

Cited by in corpus (84)

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• Generalized Uncertainty Principle in three-dimensional gravity and the BTZ black hole
• Generalized Dirac structure beyond the linear regime in graphene
• White Paper and Roadmap for Quantum Gravity Phenomenology in the Multi-Messenger Era
• Revisiting the gauge fields of strained graphene
• How to directly observe Landau levels in driven-dissipative strained honeycomb lattices
• Graphene properties from curved space Dirac equation
• Charged fermion in $(1+2)$-dimensional wormhole with axial magnetic field
• Unruh effect for interacting particles with ultracold atoms
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• Classical analogue of the Unruh effect
• Black hole geometrothermodynamics and critical phenomena: a look from Tsallis entropy-based perspective
• Negative-curvature spacetime solutions for graphene
• Logarithmic correction of the BTZ black hole and adaptive model of Graphene
• On the beta-decay of the accelerated proton and neutrino oscillations: a three-flavor description with CP violation
• $\mathcal{N}$-Extended $D=4$ Supergravity, Unconventional SUSY and Graphene
• Torsion in quantum field theory through time-loops on Dirac materials
• Hairy BTZ black hole and its analogue model in graphene
• Comments on the Chern-Simons photon term in the QED description of graphene
• Synthetic non-Abelian gauge fields and gravitomagnetic effects in tilted Dirac cone systems
• Hunting Quantum Gravity with Analogs: the case of graphene
• Symmetry Breaking and Lattice Kirigami
• Probing non-Hermitian phase transitions in curved space via quench dynamics
• Unconventional Supersymmetry at the Boundary of AdS_4 Supergravity
• Graphene, Dirac equation and analogue gravity
• Different models of gravitating Dirac fermions in optical lattices
• Fermionic vacuum currents in topologically nontrivial braneworlds: Two-brane geometry
• Fermionic currents in AdS spacetime with compact dimensions
• Fermionic currents in topologically nontrivial braneworlds
• The Casimir effect for fermionic currents in conical rings with applications to graphene ribbons
• Graphene and Black Holes: novel materials to reach the unreachable
• Generalized uncertainty principle in graphene
• Torsion at different scales: from materials to the Universe
• On the propagation of Dirac fermions in graphene with the strain-induced inhomogeneous Fermi velocity
• Generalized Ellis-Bronnikov graphene wormhole
• The three "layers" of graphene monolayer and their analog generalized uncertainty principles
• Curvature-induced pseudogauge fields from time-dependent geometries in graphene
• Turning graphene into a lab for noncommutativity
• Quasinormal modes of BTZ black hole and Hawking-like radiation in graphene
• Electronic states in a quantum Beltrami surface
• Scattering of charged fermion to two-dimensional wormhole with constant axial magnetic flux
• Unruh Effect and Takagi's Statistics Inversion in Strained Graphene
• Reduced quantum electrodynamics in curved space
• On the vector conformal models in an arbitrary dimension
• Vacuum currents in curved tubes
• Casimir effect for fermion condensate in conical rings
• Massless Rarita-Schwinger equations: Half and three halves spin solution
• Stability of Schwarzschild (Anti)de Sitter black holes in Conformal Gravity
• Unconventional Supersymmetry via the Dressing Field Method
• Quantum black holes as classical space factories
• No existence of the geometric potential for a Dirac fermion on two-dimensional curved surfaces of revolution
• General covariant geometric momentum, gauge potential and a Dirac fermion on a two-dimensional sphere
• Smart Holes: Analogue black holes with the right temperature and entropy
• Quantum Charged Spinning Massless Particles in 2+1 dimensions
• Low-energy quantum scattering induced by graphene ripples
• Quasinormal modes of three $(2+1)$-dimensional black holes in string theory, conformal gravity, and Hu-Sawicki $F(R)$ theory via the Heun function
• Analog Unruh effect of inhomogeneous one-dimensional Dirac fermions
• Graphene shapes from quantum elasticity
• Tunable Dirac points and zero-energy modes in periodic curved graphene superlattices
• Quantum geometric tensors from sub-bundle geometry
• Unruh thermalization, gluon condensation and freeze-out
• The curvature-induced gauge potential and the geometric momentum for a particle on a hypersphere
• Fractional vorticity, Bogomol'nyi-Prasad-Sommerfield systems and complex structures for the (generalized) spinor Gross-Pitaevskii equations
• Vacuum currents in elliptic pseudosphere tubes
• Time-loops to spot torsion on bidimensional Dirac materials with dislocations
• Unruh effect detection through chirality in curved graphene
• Gauge fields induced by curved spacetime
• Geometrodynamics of a 2D Curved Surface due to a Constrained Quantum Particle via its Gravitational Dual: ${\mathcal{S}}^2$ Analytical Model Calculations
• Zero energy states of Dirac equation in $(2+1)$-dimensional curved spacetime
• Regular $(2+1)$-dimensional spatially homogeneous ${\alpha }^{\prime }$-corrected BTZ-like black hole in string theory
• The geometry of induced currents in two dimensional media
• Electronic states in a bilayer graphene quantum ripple
• Extended Supersymmetry in Gapped and Superconducting Graphene
• Phonon Dynamics in Spherically-Curved Analog-Gravity Bose-Einstein Condensates
• Stability of graphene hyperbolic pseudospheres under harsh conditions
• Fermionic Casimir densities for a uniformly accelerating mirror in the Fulling-Rindler vacuum
• Scalar vacuum densities on Beltrami pseudosphere
• Generally covariant geometric momentum and geometric potential for a Dirac fermion on a two-dimensional hypersurface