Unruh effect in vacua with anisotropic scaling: Applications to multilayer graphene

Abstract

We extend the calculation of the Unruh effect to the universality classes of quantum vacua obeying topologically protected invariance under anisotropic scaling $\mathbf{r}\to b\mathbf{r}$, $t\to b^{z}t$. Two situations are considered. The first one is related to the accelerated detector which detects the electron - hole pairs. The second one is related to the system in external electric field, when the electron - hole pairs are created due to the Schwinger process. As distinct from the Unruh effect in relativistic systems (where $z=1$) the calculated radiation is not thermal, but has properties of systems in the vicinity of quantum criticality. The vacuum obeying anisotropic scaling can be realized, in particular, in multilayer graphene with the rhombohedral stacking. Opportunities of the experimental realization of Unruh effect in this situation are discussed.

accepted for publication in Annals of Physics

References in corpus (20)

• Quantum Gravity at a Lifshitz Point
• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• Membranes at Quantum Criticality
• Quantum Criticality
• De Sitter Space and Eternity
• A new magnetic field dependence of Landau levels on a graphene like structure
• Critical velocity for superfluid flow across the BEC-BCS crossover
• Graphene at high bias: cracking, layer by layer sublimation and fusing
• The quasi-normal modes of quantum criticality
• Unruh-DeWitt detector event rate for trajectories with time-dependent acceleration
• Universal transport near a quantum critical Mott transition in two dimensions
• Observer dependence of bubble nucleation and Schwinger pair production
• Lattice Expansion in Seamless Bi layer Graphene Constrictions at High Bias
• Euler - Heisenberg effective action and magnetoelectric effect in multilayer graphene
• Acceleration and vacuum temperature
• Zel'dovich-Starobinsky Effect in Atomic Bose-Einstein Condensates: Analogy to Kerr Black Hole
• On vacuum-energy decay from particle production
• ω/T scaling of the optical conductivity in strongly correlated layered cobalt oxide
• Quantum measurements and chiral magnetic effect
• The probability distribution of the number of electron-positron pairs produced in a uniform electric field

Cited by in corpus (10)

• Emergent Weyl spinors in multi-fermion systems
• Emergent Horava gravity in graphene
• Gravitational Pair Production and Black Hole Evaporation
• Spin-dependent Klein tunneling in polariton graphene with photonic spin-orbit interaction
• Statistical properties of states in QED with unstable vacuum
• Topological matter: graphene and superfluid 3He
• Classification of emergent Weyl spinors in multi-fermion systems
• Non-Stationary Measurements of Chiral Magnetic Effect
• Vacuum instability in time-dependent electric fields. New example of exactly solvable case
• Particle production rate for a dynamical system using the path integral approach