Two-Dimensional Hubbard Model –Metal Insulator Transition Studied by Monte Carlo Calculation–

Two-Dimensional Hubbard Model –Metal Insulator Transition Studied by Monte Carlo Calculation–
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二维哈伯德模型——蒙特卡罗计算研究金属绝缘体转变——

DOI:
10.1143/jpsj.61.3331
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发表时间:
1992
影响因子:
1.7
通讯作者:
M. Imada
M. Imada
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
N. Furukawa;M. Imada

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研究了基态方格上的哈伯德模型。量子蒙特卡罗研究阐明了半填充时莫特跃迁的各个方面。估计电荷和自旋相关性转变的关键指数。对于掺杂浓度δ,电荷磁化率与δ -1 成正比,表明δ→0 时电荷质量的散度,而自旋磁化率在δ=0 附近始终是有限的且不是奇异的。讨论了上述结果的几个理论后果。自旋相关尺度的不相称峰值幅度为 (δ-δ c ) -1,其中 δ c <0.01,与 RPA 结果 ln (δ-δ c ) 不一致。半填充处的反铁磁序也表现出很强的相关性,并且对费米面的形状不敏感,而远离半填充处观察到的不通约峰被部分嵌套的损失敏感地抑制,与弱耦合图一致。与实验结果的比较...
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 δ, the charge susceptibility is proportional to δ -1 indicating the divergence of charge mass for δ→0, while the spin susceptibility is always finite and not singular near δ=0. Several theoretical consequences of the above results are discussed. Incommensurate peak amplitude of spin correlation scales as (δ-δ c ) -1 with δ c <0.01 in disagreement with RPA results ln (δ-δ 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 indicatio...
DOI: 10.1103/physrevlett.67.1791
发表时间: 1991-09-23
影响因子: 8.6
作者:
CHEONG, SW;AEPPLI, G;MARTINEZ, JL
通讯作者: MARTINEZ, JL