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Precise Determination of Phase Diagram for Two-Dimensional Hubbard Model with Filling- and Bandwidth-Control Mott Transitions: Grand-Canonical Path-Integral Renormalization Group Approach
Shinji Watanabe, Masatoshi Imada
A new numerical algorithm for interacting fermion systems to treat the grand-canonical ensemble is proposed and examined by extending the path-integral renormalization group method…
G-type antiferromagnetism and orbital ordering due to the crystal field from the rare-earth ions induced by the GdFeO_3-type distortion in RTiO_3 with R=La, Pr, Nd and Sm
Masahito Mochizuki, Masatoshi Imada
The origin of the antiferromagnetic order and puzzling properties of LaTiO_3 as well as the magnetic phase diagram of the perovskite titanates are studied theoretically. We show th…
Quantum-number projection in the path-integral renormalization group method
Takahiro Mizusaki, Masatoshi Imada
We present a quantum-number projection technique which enables us to exactly treat spin, momentum and other symmetries embedded in the Hubbard model. By combining this projection t…
New Type of Degenerate Quantum Spin Phase
Masatoshi Imada, Takahiro Mizusaki, Shinji Watanabe
Correlated electrons often crystalize to the Mott insulator usually with some magnetic orders, whereas the "quantum spin liquid" has been a long-sought issue. We report numerical e…
Finite-Temperature Mott Transition in the Two-Dimensional Hubbard Model
Shigeki Onoda, Masatoshi Imada
Mott transitions are studied in the two-dimensional Hubbard model by a non-perturbative theory of correlator projection that systematically includes spatial correlations into the d…
Precise estimation of shell model energy by second order extrapolation method
Takahiro Mizusaki, Masatoshi Imada
A second order extrapolation method is presented for shell model calculations, where shell model energies of truncated spaces are well described as a function of energy variance by…