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Kondo breakdown in multi-orbital Anderson lattices induced by destructive hybridization interference
by Fabian Eickhoff, Frithjof B. Anders
Submission summary
Authors (as registered SciPost users): | Fabian Eickhoff |
Submission information | |
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Preprint Link: | https://arxiv.org/abs/2401.04540v3 (pdf) |
Data repository: | https://zenodo.org/records/10886260 |
Date submitted: | 2024-04-24 09:51 |
Submitted by: | Eickhoff, Fabian |
Submitted to: | SciPost Physics |
Ontological classification | |
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Academic field: | Physics |
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Approach: | Theoretical |
Abstract
In this paper we consider a multi band extension to the periodic Anderson model. We use a single site DMFT(NRG) in order to study the impact of the conduction band mediated effective hopping of the correlated electrons between the correlated orbitals onto the heavy Fermi liquid formation. Whereas the hybridization of a single impurity model with two distinct conduction bands always adds up constructively, $T_{K}\propto \exp(-\mathrm{const}\, U/(\Gamma_1+\Gamma_2))$, we show that this does not have to be the case in lattice models, where, in remarkable contrast, also an low-energy Fermi liquid scale $T_0\propto \exp(-\mathrm{const}\, U/(\Gamma_1-\Gamma_2))$ can emerge due to quantum interference effects in multi band models, where $U$ denotes the local Coulomb matrix element of the correlated orbitals and $\Gamma_i$ the local hybridization strength of band $i$. At high symmetry points, heavy Fermi liquid formation is suppressed which is associated with a breakdown of the Kondo effect. This results in an asymptotically scale-invariant (i.e., power-law) spectrum of the correlated orbitals $\propto|\omega|^{1/3}$, indicating non-Fermi liquid properties of the quantum critical point, and a small Fermi surface including only the light quasi-particles. This orbital selective Mott phase demonstrates the possibility of metallic local criticality within the general framework of ordinary single site DMFT.
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
A significant alteration involves providing a more comprehensive description of the Dynamical Mean Field Theory method. We have incorporated a new subsection dedicated to delineating the distinctions between a multi-band single impurity model and a multi-band lattice model. This addition aims to elucidate the intricacies of our approach, thereby enriching the understanding of readers and reviewers alike.
In addition we also created a data repository and published the data used in our manuscript.
We trust that these revisions effectively address the concerns raised by the referees and underscore the importance and significance of our analysis.
List of changes
- added more details in 'Method' section
- added new subsection 'Multi-band SIAM vs. Multi-band PAM'
- added paragraph Data availability
- added "NRG-Lubljana interface" and citations [43] and [44] in the TRIQS context
- added text block in Sec. 4.1 starting with "Please note that ..."
- modified abstract and added definitions of $U$ and $\Gamma_i$ therein
- changed $k$ to $\vec{k}$ in Eq.(2)
- changed $\mu$ to $\nu$ in Eq.(2) and Eq.(4)
- changed $i$ to $\nu$ in Eq.(16)
- changed "quit" to "quite"
- added definition of $c_{l\sigma}$
- added $\Im$ in Eq.(9)
- changed $\gamma$ to $\gamma(\alpha)$