Coulomb interaction at Superconductor to Mott-insulator transition

Details Coulomb interaction at Superconductor to Mott-insulator transition Coulomb interaction at Superconductor to Mott-insulator transition

1998-01-02

arxiv.org/abs/cond-mat/9801005v5

Physical Review B, Sep.1 (1998)

Physics

Condensed Matter

Superconductivity

15 pages, REVTEX, 10 figures embedded in the text

Scientific paper

10.1103/PhysRevB.58.9450

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.

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