Abstract
The quasiclassical picture yielding the correlations in the spectrum of an electron diffusing in a mesoscopic “quantum dot” is reviewed. This includes the range where random-matrix theory holds as well as the new universality class found by Altshuler and Shklovskii. Some generalizations are mentioned and the orthogonal-unitary symmetry crossover brought about by a magnetic field is treated. Using a recent thermodynamic relationship between the difference of derivatives of canonical and grand-canonical quantities and grand-canonical fluctuations, a new paramagnetic orbital contribution to the electronic susceptibility is obtained and discussed.
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References
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Imry, Y. (1992). Spectral Correlations, Symmetry Breaking and Novel Orbital Magnetic Effects in Mesoscopics. In: Fukuyama, H., Ando, T. (eds) Transport Phenomena in Mesoscopic Systems. Springer Series in Solid-State Sciences, vol 109. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84818-6_20
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DOI: https://doi.org/10.1007/978-3-642-84818-6_20
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