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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.17586 |
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| _version_ | 1866916554265853952 |
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| author | Chen, Jiasong |
| author_facet | Chen, Jiasong |
| contents | A combined study of non-Hermitian physics and strong correlations can yield numerous intriguing effects. Authors of a previous study on the non-Hermitian Kondo model in the ultracold atoms reported the reversion of the renormalization group (RG) flow. In this paper, we investigate the non-Hermitian Kondo effect in the system with a specific form of density of states $ρ(ω) \sim |ω|^{r}(r>0)$, known as the pseudogap system. We find that, for $r<\frac{1}{2}$, our results from perturbative RG are consistent with those of the Hermitian pseudogap Kondo effect. For $r=\frac{1}{2}$, a fixed point with the reversion property emerges in the RG flow. For $r>\frac{1}{2}$, an unstable fixed point appears in the complex plane of the parameter space. Furthermore, through the large-$N$ expansion, we validate the RG results for $r < \frac{1}{2}$, finding that the self-consistent equations have non-trivial solutions in a specific region of the complex plane of the parameter space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17586 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Critical behavior of Non-Hermitian Kondo effect in a pseudogap system Chen, Jiasong Strongly Correlated Electrons A combined study of non-Hermitian physics and strong correlations can yield numerous intriguing effects. Authors of a previous study on the non-Hermitian Kondo model in the ultracold atoms reported the reversion of the renormalization group (RG) flow. In this paper, we investigate the non-Hermitian Kondo effect in the system with a specific form of density of states $ρ(ω) \sim |ω|^{r}(r>0)$, known as the pseudogap system. We find that, for $r<\frac{1}{2}$, our results from perturbative RG are consistent with those of the Hermitian pseudogap Kondo effect. For $r=\frac{1}{2}$, a fixed point with the reversion property emerges in the RG flow. For $r>\frac{1}{2}$, an unstable fixed point appears in the complex plane of the parameter space. Furthermore, through the large-$N$ expansion, we validate the RG results for $r < \frac{1}{2}$, finding that the self-consistent equations have non-trivial solutions in a specific region of the complex plane of the parameter space. |
| title | Critical behavior of Non-Hermitian Kondo effect in a pseudogap system |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2403.17586 |