Corentin Morice, University of Amsterdam, The Netherlands

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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