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- W4384263484 abstract "We investigate the coupling factor $phi_mu$ that quantifies the magnetic flux $Phi$ per magnetic moment $mu$ of a point-like magnetic dipole that couples to a superconducting quantum interference device (SQUID). Representing the dipole by a current-carrying loop, the reciprocity of mutual inductances of SQUID and loop provides a way of calculating $phi_mu(vec{r}, vec{e}_mu)$ vs.~position $vec{r}$ and orientation $vec{e}_mu$ of the dipole anywhere in space from the magnetic field $B(vec{r})$ produced by a supercurrent circulating in the SQUID loop. We use numerical simulations based on London and Ginzburg-Landau theory to calculate $phi_mu$ from the supercurrent density distributions in various SQUID geometries. We treat the far-field regime ($rgtrsim a=$ inner size of the SQUID loop) with the dipole placed on the symmetry axis of circular or square shaped loops. We compare expressions for $phi_mu$ from filamentary loop models with simulation results for loops with finite width $w$ (outer size $A>a$), thickness $d$ and London penetration depth $lambda_L$ and show that for thin ($dll a$) and narrow ($w < a$) loops the introduction of an effective loop size $a_{rm eff}$ in the filamentary loop-model expressions results in agreement with simulations. For a dipole placed in the center of the loop, simulations provide an expression $phi_mu(a,A,d,lambda_L)$ that covers a wide parameter range. In the near-field regime (dipole centered at small distance $z$ above one SQUID arm) only coupling to a single strip representing the SQUID arm has to be considered. Here, we compare simulations with an analytical expression derived for a homogeneous current density distribution, which yields excellent agreement for $lambda_L>w,d$. Moreover, we analyze $phi_mu$ provided by the introduction of a constriction in the SQUID arm below the magnetic dipole." @default.
- W4384263484 created "2023-07-14" @default.
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- W4384263484 date "2023-07-11" @default.
- W4384263484 modified "2023-09-27" @default.
- W4384263484 title "On the coupling of magnetic moments to superconducting quantum interference devices" @default.
- W4384263484 doi "https://doi.org/10.48550/arxiv.2307.05724" @default.
- W4384263484 hasPublicationYear "2023" @default.
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