Critical velocity and event horizon in pair-correlated systems with "relativistic" fermionic quasiparticles

Details Critical velocity and event horizon in pair-correlated systems with "relativistic" fermionic quasiparticles Critical velocity and event horizon in pair-correlated systems with "relativistic" fermionic quasiparticles

1997-12-16

arxiv.org/abs/cond-mat/9712187v1

JETP Lett. 67 (1998) 528-532; Pisma Zh.Eksp.Teor.Fiz. 67 (1998) 124-129

Physics

Condensed Matter

Superconductivity

RevTex file, 4 pages, 1 Figure

Scientific paper

10.1134/1.567637

The condition for the appearance of event horizon is considered in such pair-correlated systems (superfluids and superconductors) where the fermionic quasiparticles obey the "relativistic" equations. In these systems, the Landau critical velocity of superflow corresponds to the speed of light. In conventional systems, such as s-wave superconductors, the superflow remains stable even above the Landau treshold. We showed that in the "relativistic" systems however the quantum vacuum becomes unstable and the superflow collapses after the "speed of light" is reached, so that horizon cannot appear. Thus an equilibrium dissipationless superfluid flow state and the horizon are incompatible due to quantum effects. This negative result is consistent with the quantum Hawking radiation from the horizon, which would lead to the dissipation of the flow.

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