Abstract
We use the fractional-dimensionality method to study the thermodynamical behaviour of the confined electron systems. The main focus of analytical calculations is on magnetic superlattices. In particular we prove that low-temperature magnetization and specific heat scale with fractional spectral dimension of the electron/quasiparticle system.
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Gruhn, W. Quantum Statistics in Layered Ideal Gas. The Fractional Dimensionality Approach. Czech J Phys 54 (Suppl 4), 225–228 (2004). https://doi.org/10.1007/s10582-004-0069-4
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DOI: https://doi.org/10.1007/s10582-004-0069-4