TY - JOUR
T1 - Two-Dimensional Hubbard Model —Metal Insulator Transition Studied by Monte Carlo Calculation—
AU - Furukawa, Nobuo
AU - Imada, Masatoshi
PY - 1992/12
Y1 - 1992/12
N2 - The Hubbard model on a square lattice in the ground state is investigated. Various aspects of Mott transition at half-filling are clarified from the quantum Monte Carlo study. Critical exponents of the transition for charge and spin correlations are estimated. For the doping concentration ∂, the charge susceptibility is proportional to ∂ _1 indicating the divergence of charge mass for ∂→0, while the spin susceptibility is always finite and not singular near ∂=0. Several theoretical consequences of the above results are discussed. Incommensurate peak amplitude of spin correlation scales as (∂-∂C)_1 with ∂C<0.01 in disagreement with RPA results In (∂-∂c). The antiferromagnetic order at the half-filling also shows strong correlation character and is not sensitive to the shape of the fermi surface, while the incommensurate peak observed away from the half-filling is sensitively suppressed by the loss of partial nesting consistently with the weak coupling picture. Comparisons with experimental indications of high-Tc oxides are made.
AB - The Hubbard model on a square lattice in the ground state is investigated. Various aspects of Mott transition at half-filling are clarified from the quantum Monte Carlo study. Critical exponents of the transition for charge and spin correlations are estimated. For the doping concentration ∂, the charge susceptibility is proportional to ∂ _1 indicating the divergence of charge mass for ∂→0, while the spin susceptibility is always finite and not singular near ∂=0. Several theoretical consequences of the above results are discussed. Incommensurate peak amplitude of spin correlation scales as (∂-∂C)_1 with ∂C<0.01 in disagreement with RPA results In (∂-∂c). The antiferromagnetic order at the half-filling also shows strong correlation character and is not sensitive to the shape of the fermi surface, while the incommensurate peak observed away from the half-filling is sensitively suppressed by the loss of partial nesting consistently with the weak coupling picture. Comparisons with experimental indications of high-Tc oxides are made.
UR - http://www.scopus.com/inward/record.url?scp=33744624739&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33744624739&partnerID=8YFLogxK
U2 - 10.1143/JPSJ.61.3331
DO - 10.1143/JPSJ.61.3331
M3 - Article
AN - SCOPUS:33744624739
VL - 61
SP - 3331
EP - 3354
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 9
ER -