Coulomb interaction at the superconductor-to-Mott-insulator transition
Jinwu Ye
DOI 10.1103/PhysRevB.58.9450 · Physical Review B
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Abstract
We reexamine the effects of long-range Coulomb interaction on the onset of superconductivity. We use the model of N complex scalar fields with the Coulomb interaction studied first by Fisher and Grinstein (FG). We find that near d=3 space dimension, the system undergoes second order phase transition if N>~55.39, but undergoes possible fluctuation driven first order transition if N<55.39. We give the detailed derivation of the field theory renormalization group (RG) of this model to one loop. Our RG results disagree with those of FG near d=3. A possible scenario at d=2 is proposed.
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