Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2310.18982 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866912927087329280 |
|---|---|
| author | Ding, Wenxin Yu, Rong |
| author_facet | Ding, Wenxin Yu, Rong |
| contents | In this work, we present an analytical framework for studying antiferromagnetic (AFM) Mott insulating states in the Hubbard model. We first derive an analytical solution for the single-particle Green's functions in the atomic limit. Within a second-order perturbation approach, we compute the ground state energy and show that the ground state is antiferromagnetically ordered. Then we derive an analytical solution for single-particle Green's functions when effects of the hopping term are considered in the Néel state. With the analytical solution, we compute the spectral functions and explain various properties of the AFM Mott insulating state as observed both experimentally and numerically: i) magnetic blueshift of the Mott gap; ii) the low energy part in the parental compounds of cuprate high \(T_c\) superconductors, which corresponds to a single band Hubbard model description. This work comprehends the electronic properties of antiferromagnetic Mott states analytically and provides a foundation for future investigations of doped antiferromagnetic Mott insulators, aiming for the mechanism of cuprates high-\(T_c\) superconductivity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_18982 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Algebraic-Dynamical Perturbation Theory of Large-$U$ Hubbard Models. Single Particle Spectrum of Antiferromagnetic Mott Insulating States Ding, Wenxin Yu, Rong Strongly Correlated Electrons In this work, we present an analytical framework for studying antiferromagnetic (AFM) Mott insulating states in the Hubbard model. We first derive an analytical solution for the single-particle Green's functions in the atomic limit. Within a second-order perturbation approach, we compute the ground state energy and show that the ground state is antiferromagnetically ordered. Then we derive an analytical solution for single-particle Green's functions when effects of the hopping term are considered in the Néel state. With the analytical solution, we compute the spectral functions and explain various properties of the AFM Mott insulating state as observed both experimentally and numerically: i) magnetic blueshift of the Mott gap; ii) the low energy part in the parental compounds of cuprate high \(T_c\) superconductors, which corresponds to a single band Hubbard model description. This work comprehends the electronic properties of antiferromagnetic Mott states analytically and provides a foundation for future investigations of doped antiferromagnetic Mott insulators, aiming for the mechanism of cuprates high-\(T_c\) superconductivity. |
| title | Algebraic-Dynamical Perturbation Theory of Large-$U$ Hubbard Models. Single Particle Spectrum of Antiferromagnetic Mott Insulating States |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2310.18982 |