https://doi.org/10.1140/epjp/s13360-023-03975-6
Regular Article
Effect of minimal length on Landau diamagnetism and de Haas–van Alphen effect
1
Department of Physics, Institute of Science, Banaras Hindu University, 221005, Varanasi, India
2
Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, 211019, Allahabad, India
3
Homi Bhabha National Institute, Training School Complex, Anushaktinagar, 400094, Mumbai, India
Received:
7
October
2022
Accepted:
14
April
2023
Published online:
2
May
2023
We study Landau diamagnetism in the framework of generalised uncertainty principle(GUP). We calculate the correction to magnetisation and susceptibility by constructing the grand partition function of diamagnetic material in this framework. We explicitly show that Curie’s law gets a temperature-independent correction which vanishes when quantum gravity effects are neglected. We further consider the low-temperature limit to find how GUP affects the de Haas–van Alphen effect.
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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.
