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Effect of minimal length on Landau diamagnetism and de Haas–van Alphen effect

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Abstract

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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Acknowledgements

MA thanks Aditya Dwivedi and Kajal Singh for useful discussions. BPM acknowledges the research grant for faculty under IoE Scheme (Number 6031) of Banaras Hindu University, Varanasi.

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Authors and Affiliations

  1. Department of Physics, Institute of Science, Banaras Hindu University, Varanasi, 221005, India

    Md. Abhishek & Bhabani Prasad Mandal

  2. Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad, 211019, India

    Md. Abhishek

  3. Homi Bhabha National Institute, Training School Complex, Anushaktinagar, Mumbai, 400094, India

    Md. Abhishek

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  1. Md. Abhishek
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Correspondence to Bhabani Prasad Mandal.

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Abhishek, M., Mandal, B.P. Effect of minimal length on Landau diamagnetism and de Haas–van Alphen effect. Eur. Phys. J. Plus 138, 370 (2023). https://doi.org/10.1140/epjp/s13360-023-03975-6

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