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March 18, 2021 02:00 PM Paris (GMT +1)
Gravitational horizons in low-dimensional quantum matter
We propose a class of lattice models realizable in a wide range of setups, and closely related to type-I to type-II transitions in Weyl semimetals.
Their low-energy dynamics exactly resembles Dirac fields subjected to gravitational backgrounds, including (anti-)de Sitter spacetime.
These models are simple 1D chains, where hopping is position-dependent and follows a power-law.
We find eternal slowdown upon approaching the origin of the lattice, which signals the formation of a black hole event horizon.
These findings pave the way for a new and experimentally viable mimicking of black hole horizons in topological semimetals.
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