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Coulomb interaction at the superconductor-to-Mott-insulator transition

1998; American Physical Society; Volume: 58; Issue: 14 Linguagem: Inglês

10.1103/physrevb.58.9450

1095-3795

Jinwu Ye,

Advanced Condensed Matter Physics

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 $N \ge 55.39$, but undergoes 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 at and near d=3. Possible scenario at d=2 is proposed.