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Zeta Function Regularization of Infrared Divergences in Bose-Einstein Condensation
Adriaan M. J. Schakel
The perturbative calculation of the effect of fluctuations in the nonzero frequency modes of a weakly interacting Bose gas on the condensation temperature is reviewed. These dynami…
Entangled Vortices: Onsager's geometrical picture of superfluid phase transitions
Adriaan M. J. Schakel
Superfluid phase transitions are discussed from a geometrical perspective as envisaged by Onsager. The approach focuses on vortex loops which close to the critical temperature form…
Superconductor-Insulator Quantum Phase Transitions
Adriaan M. J. Schakel
In these lectures, superconductivity in impure thin films close to the absolute zero of temperature is discussed. The behavior as function of the applied magnetic field and the amo…
Comment on "The Transition Temperature of the Dilute Interacting Bose Gas" and on "Transition Temperature of a Uniform Bose Gas"
Adriaan M. J. Schakel
It is pointed out that first, contrary to the claim by Baym et al.[Phys. Rev. Lett 83, 1703 (1999)], the shift in the transition temperature of a weakly interacting Bose gas can be…
Bogoliubov's Theory: A Paradigm of Quantum Phase Transitions
Adriaan M. J. Schakel
This short essay discusses the application of Bogoliubov's theory of superfluidity in the context of quantum phase transitions.
Time-Dependent Ginzburg-Landau Theory and Duality
Adriaan M. J. Schakel
In the first part of this review paper, the time-dependent Ginzburg-Landau theory is derived starting from the microscopic BCS model with the help of a derivative expansion. Specia…