Numerical study of a superconductor-insulator transition in a half-filled Hubbard chain with distant transfers

Details Numerical study of a superconductor-insulator transition in a half-filled Hubbard chain with distant transfers Numerical study of a superconductor-insulator transition in a half-filled Hubbard chain with distant transfers

1997-02-25

arxiv.org/abs/cond-mat/9702214v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, RevTeX, uses epsf.sty and multicol.sty

Scientific paper

10.1143/JPSJ.66.3371

The ground state of a one-dimensional Hubbard model having the next-nearest neighbor hopping (t') as well as the nearest-neighbor one (t) is numerically investigated at half-filling. A quantum Monte Carlo result shows a slowly decaying pairing correlation for a sizeable interaction strength $(U \leq 2t)$, while the system is shown to become insulating for yet larger $U>U_C\sim 3t$ from a direct evaluation of the charge gap with the density-matrix renormalization group method. The results are consistent with Fabrizio's recent weak-coupling theory which suggests a transition from a superconductor into an insulator at a finite U.

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