Intertwined States at Finite Temperatures in the Hubbard Model

Huang, Edwin W.; Wang, Wen O.; Ding, Jixun K.; Liu, Tie; Liu, F.; Huang, Xuxin; Moritz, Brian; Devereaux, T. P.

doi:10.7566/jpsj.90.111010

Cited by 6 publications

(2 citation statements)

References 93 publications

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“…Our ED calculations are limited to small clusters and therefore the effect of long-wavelength physics remains beyond our level of investigation. This may be particularly relevant to a discussion of the root cause of superconductivity and the competition between superconductivity and other intertwined phases, such as spin and/or charge stripes that are prevalent in both cuprate phase diagrams and numerical simulations of the single-band Hubbard model [19,20]. Reference [21] reports density matrix renormalization group (DMRG) simulations of a similar 2-orbital model, and finds Luther-Emery behavior -coexistence of long-range superconducting and charge-density wave order -away from half-filling as in the 1D Hubbard model, while the undoped model does not contain long-range antiferromagnetic order, different than single-band Hubbard and more closely in-line with infinitelayer nickelates.…”

Section: Discussionmentioning

confidence: 99%

On the Nature of Valence Charge and Spin Excitations via Multi-Orbital Hubbard Models for Infinite-Layer Nickelates

Been

Hsu

et al. 2022

Front. Phys.

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Building upon the recent progress on the intriguing underlying physics for the newly discovered infinite-layer nickelates, in this article we review an examination of valence charge and spin excitations via multi-orbital Hubbard models as way to determine the fundamental building blocks for Hamiltonians that can describe the low energy properties of infinite-layer nickelates. We summarize key results from density-functional approaches, and apply them to the study of x-ray absorption to determine the valence ground states of infinite-layer nickelates in their parent form, and show that a fundamental d9 configuration as in the cuprates is incompatible with a self-doped ground state having holes in both dx2−y2 and a rare-earth-derived axial orbital. When doped, we determine that the rare-earth-derived orbitals empty and additional holes form low spin (S = 0) d8 Ni states, which can be well-described as a doped single-band Hubbard model. Using exact diagonalization for a 2-orbital model involving Ni and rare-earth orbitals, we find clear magnons at 1/2 filling that persist when doped, albeit with larger damping, and with a dependence on the precise orbital energy separation between the Ni- and rare-earth-derived orbitals. Taken together, a full two-band model for infinite-layer nickelates can well describe the valence charge and spin excitations observed experimentally.

show abstract

Section: Discussionmentioning

confidence: 99%

On the Nature of Valence Charge and Spin Excitations via Multi-Orbital Hubbard Models for Infinite-Layer Nickelates

Been

Hsu

et al. 2022

Front. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…Our ED calculations are limited to small clusters and therefore the effect of long-wavelength physics remains beyond our level of investigation. This may be particularly relevant to a discussion of the root cause of superconductivity and the competition between suoerconductivity and other intertwined phases, such as spin and/or charge stripes that are prevalent in both cuprate phase diagram and numerical simulations of the single-band Hubbard model 19,20 . 21 reports density matrix renormalization group (DMRG) simulations of a similar two-orbital model, and finds Luther-Emery behavior -coexistence of long-range superconducting and charge-density wave order -away from half filling as in the 1D Hubbard model, while the undoped model does not contain long-range antiferromagnetic order, different than single-band Hubbard and more closely in-line with infinite-layer nickelates.…”

Section: Discussionmentioning

confidence: 99%

On the nature of valence charge and spin excitations via multi-orbital Hubbard models for infinite-layer nickelates

Been,

Hsu,

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

Building upon the recent progress on the intriguing underlying physics for the newly discovered infinitelayer nickelates, in this article we review an examination of valence charge and spin excitations via multi-orbital Hubbard models as way to determine the fundamental building blocks for Hamiltonians that can describe the low energy properties of infinite-layer nickelates. We summarize key results from density-functional approaches, and apply them to the study of x-ray absorption to determine the valence ground states of infinite-layer nickelates in their parent form, and show that a fundamental d 9 configuration as in the cuprates is incompatible with a self-doped ground state having holes in both d x 2 −y 2 and a rare-earth-derived axial orbital. When doped, we determine that the rare-earth-derived orbitals empty and additional holes form low spin (S = 0) d 8 Ni states, which can be well-described as a doped single-band Hubbard model. Using exact diagonalization for a 2-orbital model involving Ni and rare earth orbitals, we find clear magnons at 1/2 filling that persist when doped, albeit with larger damping, and with a dependence on the precise orbital energy separation between the Ni-and rareearth-derived orbitals. Taken together, a full two-band model for infinite-layer nickelates can well describe the valence charge and spin excitations observed experimentally.

show abstract

Sign-free determinant quantum Monte Carlo study of excitonic density orders in a two-orbital Hubbard-Kanamori model

et al. 2022

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Intertwined States at Finite Temperatures in the Hubbard Model

Cited by 6 publications

References 93 publications

On the Nature of Valence Charge and Spin Excitations via Multi-Orbital Hubbard Models for Infinite-Layer Nickelates

On the Nature of Valence Charge and Spin Excitations via Multi-Orbital Hubbard Models for Infinite-Layer Nickelates

On the nature of valence charge and spin excitations via multi-orbital Hubbard models for infinite-layer nickelates

Sign-free determinant quantum Monte Carlo study of excitonic density orders in a two-orbital Hubbard-Kanamori model

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