{epsilon} expansion of the conductivity at the superconductor{endash}Mott-insulator transition
- Institut fuer Theoretische Festkoerperphysik, Universtitaet Karlsruhe, D-76128 Karlsruhe (Germany)
- Dipartimento di Fisica, Universita di Catania and Istituto Nazionale di Fisica Nucleare, sezione di Catania, corso Italia 57, 95129 Catania (Italy)
We study the critical behavior of the conductivity {sigma}({omega}) at the zero-temperature superconductor{endash}Mott-insulator transition in {ital d} spacetime dimensions for a model of bosons with short-range interaction and no disorder. We obtain {sigma}({omega}{sub {ital n}})=(4{ital e}{sup 2}/{h_bar}){sigma}{sub {epsilon}}{omega}{sub {ital n}}{sup 1{minus}{epsilon}}, as predicted by the scaling theory, and the prefactor {sigma}{sub {epsilon}} is calculated in the {epsilon} expansion, to order {epsilon}{sup 2} ({epsilon}=4{minus}{ital d}). In two spatial dimensions ({ital d}=3), we find a value of the universal conductance {sigma}{sup {sq_bullet}}=0.315(4{ital e}{sup 2}/{ital h}), in good agreement with the known Monte Carlo results. {copyright} {ital 1996 The American Physical Society.}
- OSTI ID:
- 280216
- Journal Information:
- Physical Review, B: Condensed Matter, Vol. 53, Issue 14; Other Information: PBD: Apr 1996
- Country of Publication:
- United States
- Language:
- English
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