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Improved wave functions for Hubbard model: Superconductivity and Mott transition

Kenji Kobayashi, Hisatoshi Yokoyama

Physica C SuperconductivityJun 7, 200710 citations

Variational approach for the two-body problem in a multiband extended-Hubbard model

M. Iskin

arXiv:2404.01117Physics Letters AAug 8, 20240 citations

Properties of Gutzwiller wave functions for multiband models

Claudio Attaccalite, Michele Fabrizio

We analyze the Mott transition in multiband Hubbard models with the inclusion of multiplet exchange splittings as it arises in infinite dimensions by using the generalized Gutzwiller wave function introduced by B\"unemann, Weber, and Gebhard [Phys. Rev. B 57, 6896 (1998)]. We also present an extension of that variational wave function to account for broken-symmetry solutions, which still allows an exact analytical treatment. Our analysis reveals some drawbacks of the variational wave function, which, in our opinion, imply that Gutzwiller-type wave functions do not properly characterize quasiparticles close to a Mott transition even in the limit of infinite dimensions.We analyze the Mott transition in multiband Hubbard models with the inclusion of multiplet exchange splittings as it arises in infinite dimensions by using the generalized Gutzwiller wave function introduced by B\"unemann, Weber, and Gebhard [Phys. Rev. B 57, 6896 (1998)]. We also present an extension of that variational wave function to account for broken-symmetry solutions, which still allows an exact analytical treatment. Our analysis reveals some drawbacks of the variational wave function, which, in our opinion, imply that Gutzwiller-type wave functions do not properly characterize quasiparticles close to a Mott transition even in the limit of infinite dimensions.

arXiv:cond-mat/0304183Physical review. B, Condensed matterOct 24, 200328 citations

Mott transition in the multi-band Hubbard model in infinite dimensions

Yoshiaki Ono, R. Bulla, Michael Potthoff

Physica B Condensed MatterMay 1, 20030 citations

Slave rotor theory of the Mott transition in the Hubbard model: a new mean field theory and a new variational wave function

Tao Li, Tomonori Shirakawa, Kazuhiro Seki +1 more

A new mean field theory is proposed for the Mott transition in the Hubbard model based on the slave rotor representation of the electron operator. This theory provides a better description of the role of the long range charge correlation in the Mott insulating state and offers a good estimation of the critical correlation strength for the Mott transition. We have constructed a new variational wave function for the Mott insulating state based on this new slave rotor mean field theory. We find this new variational wave function outperforms the conventional Jastrow type wave function with long range charge correlator in the Mott insulating state. It predicts a continuous Mott transition with non-divergent quasiparticle mass at the transition point. We also show that the commonly used on-site mean field decoupling for the slave rotor corresponds to the Gutzwiller approximation for the Gutzwiller projected wave function with only on-site charge correlator, which can not describe the Mott transition in any finite dimensional system.A new mean field theory is proposed for the Mott transition in the Hubbard model based on the slave rotor representation of the electron operator. This theory provides a better description of the role of the long range charge correlation in the Mott insulating state and offers a good estimation of the critical correlation strength for the Mott transition. We have constructed a new variational wave function for the Mott insulating state based on this new slave rotor mean field theory. We find this new variational wave function outperforms the conventional Jastrow type wave function with long range charge correlator in the Mott insulating state. It predicts a continuous Mott transition with non-divergent quasiparticle mass at the transition point. We also show that the commonly used on-site mean field decoupling for the slave rotor corresponds to the Gutzwiller approximation for the Gutzwiller projected wave function with only on-site charge correlator, which can not describe the Mott transition in any finite dimensional system.

arXiv:1601.02378Jan 11, 20160 citations

Orbital-selective Mott transitions in two-band Hubbard models

Nils Blümer, C. Knecht, Krunoslav Požgajčić +1 more

arXiv:cond-mat/0609758Journal of Magnetism and Magnetic MaterialsNov 10, 20064 citations

Mott Transitions in the Multiband Hubbard Model through Variational Wave Functions

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