Effect of Impurity on Inhomogeneous Vacuum and Interacting Vortices
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912177710956544 |
|---|---|
| author | Jeon, SeungJun Kim, Yoonbai Song, Hanwool |
| author_facet | Jeon, SeungJun Kim, Yoonbai Song, Hanwool |
| contents | We study the inhomogeneous abelian Higgs model with a magnetic impurity. The vacuum configuration of the symmetry-broken phase is not simply the constant Higgs vacuum but is a nontrivial function of spatial coordinates, satisfying the Euler-Lagrange equations. The vacuum of zero winding number has zero magnetic flux but its non-zero magnetic field depends on spatial coordinates. The corresponding vacuum energy is negative for weak coupling $(λ< 1)$, zero for critical BPS coupling $(λ= 1)$, and positive for strong coupling $(λ> 1)$ by an over-, exact-, and under-cancellation of the huge positive impurity energy. This distinct vacuum energies are consistent with classification of the type I and I$\!$I superconductivity in dirty conventional superconductors. Non-BPS vortex configurations are also obtained in the presence of inhomogeneity. Their rest energies favor energetically vortex-impurity composite in conventional type I$\!$I superconductivity, consistent with imperfect diamagnetism. The delta function limit of Gaussian type impurity suggests the formation of vortex-lattice composite which elucidates flux-pinning in the context of inhomogeneous field theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_02500 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Effect of Impurity on Inhomogeneous Vacuum and Interacting Vortices Jeon, SeungJun Kim, Yoonbai Song, Hanwool High Energy Physics - Theory Superconductivity High Energy Physics - Phenomenology We study the inhomogeneous abelian Higgs model with a magnetic impurity. The vacuum configuration of the symmetry-broken phase is not simply the constant Higgs vacuum but is a nontrivial function of spatial coordinates, satisfying the Euler-Lagrange equations. The vacuum of zero winding number has zero magnetic flux but its non-zero magnetic field depends on spatial coordinates. The corresponding vacuum energy is negative for weak coupling $(λ< 1)$, zero for critical BPS coupling $(λ= 1)$, and positive for strong coupling $(λ> 1)$ by an over-, exact-, and under-cancellation of the huge positive impurity energy. This distinct vacuum energies are consistent with classification of the type I and I$\!$I superconductivity in dirty conventional superconductors. Non-BPS vortex configurations are also obtained in the presence of inhomogeneity. Their rest energies favor energetically vortex-impurity composite in conventional type I$\!$I superconductivity, consistent with imperfect diamagnetism. The delta function limit of Gaussian type impurity suggests the formation of vortex-lattice composite which elucidates flux-pinning in the context of inhomogeneous field theory. |
| title | Effect of Impurity on Inhomogeneous Vacuum and Interacting Vortices |
| topic | High Energy Physics - Theory Superconductivity High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2501.02500 |