Abstract
Superconducting correlation of the Hubbard model on a square lattice is reinvestigated by quantum Monte Carlo method. Results from more than one order of magnitude larger Monte Carlo steps than before are presented to discuss the convergence of the data to the ground state. By examining the dependence on the choice of initial trial states as well as on the Trotter number in detail, the superconducting correlation in the ground state is reliably obtained up to 12 × 12 lattice away from the half-filling and up to 16 x 16 lattice at the half-filling, which substantially improve former results near the half-filling. Various channels of pairing in the ground state show no system size dependence and remain quite short ranged at any filling including the region close to the half-filling. Numerical data show further evidence that neither extended s- nor d-wave superconducting state is possible in the two-dimensional Hubbard model.
| Original language | English |
|---|---|
| Pages (from-to) | 2740-2747 |
| Number of pages | 8 |
| Journal | Journal of the Physical Society of Japan |
| Volume | 60 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 1991 Jan 1 |
| Externally published | Yes |
Fingerprint
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Superconducting Correlation of Two-Dimensional Hubbard Model near Half-Filling. / Imada, Masatoshi.
In: Journal of the Physical Society of Japan, Vol. 60, No. 8, 01.01.1991, p. 2740-2747.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Superconducting Correlation of Two-Dimensional Hubbard Model near Half-Filling
AU - Imada, Masatoshi
PY - 1991/1/1
Y1 - 1991/1/1
N2 - Superconducting correlation of the Hubbard model on a square lattice is reinvestigated by quantum Monte Carlo method. Results from more than one order of magnitude larger Monte Carlo steps than before are presented to discuss the convergence of the data to the ground state. By examining the dependence on the choice of initial trial states as well as on the Trotter number in detail, the superconducting correlation in the ground state is reliably obtained up to 12 × 12 lattice away from the half-filling and up to 16 x 16 lattice at the half-filling, which substantially improve former results near the half-filling. Various channels of pairing in the ground state show no system size dependence and remain quite short ranged at any filling including the region close to the half-filling. Numerical data show further evidence that neither extended s- nor d-wave superconducting state is possible in the two-dimensional Hubbard model.
AB - Superconducting correlation of the Hubbard model on a square lattice is reinvestigated by quantum Monte Carlo method. Results from more than one order of magnitude larger Monte Carlo steps than before are presented to discuss the convergence of the data to the ground state. By examining the dependence on the choice of initial trial states as well as on the Trotter number in detail, the superconducting correlation in the ground state is reliably obtained up to 12 × 12 lattice away from the half-filling and up to 16 x 16 lattice at the half-filling, which substantially improve former results near the half-filling. Various channels of pairing in the ground state show no system size dependence and remain quite short ranged at any filling including the region close to the half-filling. Numerical data show further evidence that neither extended s- nor d-wave superconducting state is possible in the two-dimensional Hubbard model.
UR - http://www.scopus.com/inward/record.url?scp=0000453110&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0000453110&partnerID=8YFLogxK
U2 - 10.1143/JPSJ.60.2740
DO - 10.1143/JPSJ.60.2740
M3 - Article
AN - SCOPUS:0000453110
VL - 60
SP - 2740
EP - 2747
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 8
ER -