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Kondo spectral functions at low-temperatures: A dynamical-exchange-correlation-field perspective.
by Zhen Zhao
Submission summary
| Authors (as registered SciPost users): | Zhen Zhao |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202407_00039v3 (pdf) |
| Date submitted: | 2024-11-20 11:38 |
| Submitted by: | Zhao, Zhen |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We calculate the low-temperature spectral function of the symmetric single impurity Anderson model using a recently proposed dynamical exchange-correlation (xc) field formalism. The xc field, coupled to the one-particle Green's function, is obtained through analytic analysis and numerical extrapolation based on finite clusters. In the Kondo regime, the xc field is modeled by an ansatz that takes into account the different asymptotic behaviors in the small- and large-time regimes. The small-time xc field contributes to the Hubbard side-band, whereas the large-time to the Kondo resonance. We illustrate these features in terms of analytical and numerical calculations for small- and medium-size finite clusters, and in the thermodynamic limit. The results indicate that the xc field formalism provides a good trade-off between accuracy and complexity in solving impurity problems. Consequently, it can significantly reduce the complexity of the many-body problem faced by first-principles approaches to strongly correlated materials.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Author comments upon resubmission
Here I resubmit the manuscript following the referees' suggestions. The changes are minor, which include corrections of typos and short clarification of the approach. I hope the manuscript is now considered suitable for publication in SciPost Physics.
With my best regards,
Z. Zhao
List of changes
1. Line 355. The typo is corrected: \tilde{T}_k=0.491 -> \tilde{T}_K=0.491 T_K.
2. Line 355-359. Texts added to avoid confusion and to clarify our rescaling treatment.