Gutzwiller-Correlated Wave Functions: Application to Ferromagnetic Nickel

Bünemann, Jörg; Gebhard, Florian; Ohm, T.; Weiser, Stefan; Weber, W. H.

doi:10.1007/3-540-27284-4_5

Cited by 26 publications

(40 citation statements)

References 38 publications

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“…First, these wave functions are well defined and they are evaluated exactly in the unambiguous limit of infinite spatial dimensions (D → ∞). Therefore, e.g., the inclusion of superconducting pair-correlations was straightforward 4,6 . In contrast, the slave-boson mean-field derivation is uncontrolled and quite adjustable in its outcome.…”

Section: Discussionmentioning

confidence: 99%

“…The HamiltonianĤ loc,i contains all local terms, i.e., the two-particle Coulomb interactions and the orbital onsite-energies. For any lattice site i one introduces the Fock-states |I i , in which certain sets of spin-orbital states σ are occupied 2,4 . These states form a basis of the local atomic Hilbert space and can be used to write any other local multiplet state as…”

Section: Hubbard Models and Gutzwiller Wave-functionsmentioning

confidence: 99%

“…Over the last few years the Gutzwiller variational theory has developed into a useful tool for correlated multiband systems 1,2,3,4,5,6,7,8,9 . Gutzwiller introduced his wave function to study ferromagnetism in the one-band Hubbard model 10 .…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Equivalence of Gutzwiller and slave-boson mean-field theories for multiband Hubbard models

Bünemann

Gebhard

2007

Phys. Rev. B

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Section: Discussionmentioning

confidence: 99%

Section: Hubbard Models and Gutzwiller Wave-functionsmentioning

confidence: 99%

See 1 more Smart Citation

Equivalence of Gutzwiller and slave-boson mean-field theories for multiband Hubbard models

Bünemann

Gebhard

2007

Phys. Rev. B

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“…As shown in Refs. [11,22], it is possible to derive analytical expressions for the variational ground-state energy in the limit of infinite spatial dimensions (D → ∞). An application of this energy functional to finite-dimensional systems is usually termed 'Gutzwiller approximation'.…”

Section: Wave Functionsmentioning

confidence: 99%

Interplay of Coulomb interaction and spin-orbit coupling

et al. 2016

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We employ the Gutzwiller variational approach to investigate the interplay of Coulomb interaction and spin-orbit coupling in a three-orbital Hubbard model. Already in the paramagnetic phase we find a substantial renormalization of the spin-orbit coupling that enters the effective single-particle Hamiltonian for the quasi-particles. Only close to half band-filling and for sizable Coulomb interaction we observe clear signatures of Hund's atomic rules for spin, orbital, and total angular momentum. For a finite local Hund's-rule exchange interaction we find a ferromagnetically ordered state. The spin-orbit coupling considerably reduces the size of the ordered moment, it generates a small ordered orbital moment, and it induces a magnetic anisotropy. To investigate the magnetic anisotropy energy, we use an external magnetic field that tilts the magnetic moment away from the easy axis (1, 1, 1).

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“…We just mention the famous Brinkmann-Rice scenario 12 of the Mott transition. Therefore, even though more rigorous approaches have been developed meanwhile, like DMFT 13 or LDA+U 14 , there has been a continuous effort towards improving the original Gutzwiller wavefunction in finite dimensions 15 , and extending the Gutzwiller approximation to account for the exchange interaction in multi-orbital models 8,16,17,18 , for the electron-phonon coupling 19 , for interfaces effects 20 , and also for more abinitio ingredients 21 . A reason for this perseverance is that the Gutzwiller wavefunction and approximation are so simple and flexible to be adapted to many different situations and provide without big numerical efforts reasonable results.…”

Section: Introductionmentioning

confidence: 99%

Superconductivity in the doped bilayer Hubbard model

2009

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We study by the Gutzwiller approximation the melting of the valence bond crystal phase of a bilayer Hubbard model at sufficiently large inter-layer hopping. We find that a superconducting domain, with order parameter d z 2 −r 2 , z being the inter-layer direction and r the intra-layer one, is stabilized variationally close to the half-filled non-magnetic Mott insulator. Superconductivity exists at half-filling just at the border of the Mott transition and extends away from half-filling into a whole region till a critical doping, beyond which it gives way to a normal metal phase. This result suggests that superconductivity should be unavoidably met by liquefying a valence bond crystal, at least when each layer is an infinite coordination lattice and the Gutzwiller approximation becomes exact. Remarkably, this same behavior is well established in the other extreme of two-leg Hubbard ladders, showing it might be of quite general validity.

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Gutzwiller-Correlated Wave Functions: Application to Ferromagnetic Nickel

Cited by 26 publications

References 38 publications

Equivalence of Gutzwiller and slave-boson mean-field theories for multiband Hubbard models

Equivalence of Gutzwiller and slave-boson mean-field theories for multiband Hubbard models

Interplay of Coulomb interaction and spin-orbit coupling

Superconductivity in the doped bilayer Hubbard model

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