Planckian dissipation and $c$-axis superfluid density in cuprate superconductors
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2023
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866912384409403392 |
|---|---|
| author | Chakravarty, Sudip |
| author_facet | Chakravarty, Sudip |
| contents | An interesting concept in condensed matter physics is Planckian dissipation, in particular its manifestation in a remarkable phenomenology of superfluid density as a function of superconducting transition temperature. The concept was ontroduced for $ab$-plane properties. However, when suitably interpreted, it can also be applicable to the incoherent $c$-axis resistivity, which has not been adequately addressed previously. There are two results in this note: the first is a derivation using Kubo formula as to how Planckian dissipation could arise. It is aided by the fact that the $c$-axis tunneling matrix element is so small that a second order perturbation theory combined with presumed non-Fermi liquid behavior is sufficient to illuminate the phenomonon. In addition, the notion of quantum criticality plays an important role. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_13235 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Planckian dissipation and $c$-axis superfluid density in cuprate superconductors Chakravarty, Sudip Superconductivity An interesting concept in condensed matter physics is Planckian dissipation, in particular its manifestation in a remarkable phenomenology of superfluid density as a function of superconducting transition temperature. The concept was ontroduced for $ab$-plane properties. However, when suitably interpreted, it can also be applicable to the incoherent $c$-axis resistivity, which has not been adequately addressed previously. There are two results in this note: the first is a derivation using Kubo formula as to how Planckian dissipation could arise. It is aided by the fact that the $c$-axis tunneling matrix element is so small that a second order perturbation theory combined with presumed non-Fermi liquid behavior is sufficient to illuminate the phenomonon. In addition, the notion of quantum criticality plays an important role. |
| title | Planckian dissipation and $c$-axis superfluid density in cuprate superconductors |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2306.13235 |