Kondo Compensation in a Pseudogap Phase: a Renormalization Group Study
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866908337024532480 |
|---|---|
| author | Hajdú, Csanád Moca, Cătălin Paşcu Dóra, Balázs Weymann, Ireneusz Zaránd, Gergely |
| author_facet | Hajdú, Csanád Moca, Cătălin Paşcu Dóra, Balázs Weymann, Ireneusz Zaránd, Gergely |
| contents | We investigate the critical behavior of the Kondo compensation in the presence of a power-law pseudogap in the density of states, $\varrho(ω)\sim |ω|^ε$. For $ε<1$, this model exhibits a quantum phase transition from a partially screened doublet ground state to a fully screened many-body singlet ground state with increasing Kondo coupling, $j$. At the critical point, $j_c$, the Kondo compensation is found to scale as $κ(j<j_c) = 1- g(j)$ with the local $g$-factor vanishing as $g \sim |j-j_c|^β$. We combine perturbative drone fermion method with non-perturbative NRG computations to determine the critical exponent $β(ε)$, which exhibits a non-monotonous behavior as a function of $ε$. Our results confirm that the Kondo cloud builds up continuously in the presence of a weak pseudogap as one approaches the phase transition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_15422 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Kondo Compensation in a Pseudogap Phase: a Renormalization Group Study Hajdú, Csanád Moca, Cătălin Paşcu Dóra, Balázs Weymann, Ireneusz Zaránd, Gergely Strongly Correlated Electrons We investigate the critical behavior of the Kondo compensation in the presence of a power-law pseudogap in the density of states, $\varrho(ω)\sim |ω|^ε$. For $ε<1$, this model exhibits a quantum phase transition from a partially screened doublet ground state to a fully screened many-body singlet ground state with increasing Kondo coupling, $j$. At the critical point, $j_c$, the Kondo compensation is found to scale as $κ(j<j_c) = 1- g(j)$ with the local $g$-factor vanishing as $g \sim |j-j_c|^β$. We combine perturbative drone fermion method with non-perturbative NRG computations to determine the critical exponent $β(ε)$, which exhibits a non-monotonous behavior as a function of $ε$. Our results confirm that the Kondo cloud builds up continuously in the presence of a weak pseudogap as one approaches the phase transition. |
| title | Kondo Compensation in a Pseudogap Phase: a Renormalization Group Study |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2410.15422 |