Second-order phase transitions and divergent linear response in dynamical mean-field theory
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911917317029888 |
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| author | van Loon, Erik G. C. P. |
| author_facet | van Loon, Erik G. C. P. |
| contents | Second-order phase transitions appear as a divergence in one of the linear response functions. For a system of correlated electrons, the relevant divergent response can and does involve many-particle observables, most famously the double occupancy. Generally, evaluating the linear response function of many-particle observables requires a many-particle generalization of the Bethe-Salpeter equation. However, here I show that the divergence of linear response functions in dynamical mean-field theory is governed by a two-particle Bethe-Salpeter equation, even for many-particle observables. The reason for this is that the divergence at the second-order phase transition is produced by the self-consistent feedback of the dynamical mean-field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_04042 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Second-order phase transitions and divergent linear response in dynamical mean-field theory van Loon, Erik G. C. P. Strongly Correlated Electrons Second-order phase transitions appear as a divergence in one of the linear response functions. For a system of correlated electrons, the relevant divergent response can and does involve many-particle observables, most famously the double occupancy. Generally, evaluating the linear response function of many-particle observables requires a many-particle generalization of the Bethe-Salpeter equation. However, here I show that the divergence of linear response functions in dynamical mean-field theory is governed by a two-particle Bethe-Salpeter equation, even for many-particle observables. The reason for this is that the divergence at the second-order phase transition is produced by the self-consistent feedback of the dynamical mean-field. |
| title | Second-order phase transitions and divergent linear response in dynamical mean-field theory |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2401.04042 |