Abstract
A major success of low temperature physics was achieved with the introduction by Landau of the notion of quasiparticles. According to his hypothesis, the properties of many body interacting systems at low temperatures are determined by the spectrum of some low energy, long living excitations (quasiparticles). Another milestone of many body theory is the Mean Field Approximation (MFA), which permitted achieving considerable progress in the theory of phase transitions. Phenomena which cannot be described by the quasiparticle method or by MFA are usually called fluctuations. The BCS theory of superconductivity is a bright example of the use of both the quasiparticle description and MFA. The success of the BCS theory for traditional superconductors was determined by the fact that fluctuations give small corrections with respect to the MFA results.
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Larkin, A.I., Varlamov, A.A. (2003). Fluctuation Phenomena in Superconductors. In: Bennemann, K.H., Ketterson, J.B. (eds) The Physics of Superconductors. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55675-3_3
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