The entropy of a tilted Dirac cone material, integrated across a spatially varying tilt, grows linearly with temperature behind the analogue horizon and can be mapped to BTZ black hole entropy.
Hunting Quantum Gravity with Analogs: the case of graphene
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abstract
Analogs of fundamental physical phenomena can be used in two ways. One way consists in reproducing specific aspects of classical or quantum gravity, of quantum fields in curved space or of other high-energy scenarios, on lower-energy corresponding systems. The ``reverse way'' consists in building fundamental physical theories, for instance, quantum gravity models, inspired by the lower-energy corresponding systems. Here we present the case of graphene and other Dirac materials.
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Smart Holes: Analogue black holes with the right temperature and entropy
The entropy of a tilted Dirac cone material, integrated across a spatially varying tilt, grows linearly with temperature behind the analogue horizon and can be mapped to BTZ black hole entropy.