https://doi.org/10.1140/epjp/s13360-023-04585-y
Regular Article
Effect of quantum gravity on specific heat of solid
Department of Physics, Institute of Science, Banaras Hindu University, 221005, Varanasi, India
Received:
30
April
2023
Accepted:
10
October
2023
Published online:
24
October
2023
All possible theories of quantum gravity suggest the existence of a minimal length. As a consequence, the usual Heisenberg uncertainty principle (HUP) is replaced by a more general uncertainty principle known as the generalized uncertainty principle (GUP). The dynamics of all quantum mechanical system gets modified due to GUP. In this work, we consider both Einstein’s and Debye’s models to find the quantum gravity effect on the specific heat of solids. GUP modified specific heat in Einstein’s model shows usual exponential dominance at low temperatures. Further, the modification to Debye’s specific heat is calculated by considering the GUP modified dispersion relation, which becomes time dependent for elastic waves.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
