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- W2060896370 abstract "Using analytical and path integral Monte Carlo methods, we study the susceptibility ${ensuremath{chi}}_{mathrm{dc}}(T)$ of a spin-$S$ impurity with $XY$ rotational symmetry embedded in a metal. Close to a ferromagnetic quantum critical point, the impurity polarizes conduction electrons in its vicinity and forms a large magnetic droplet with moment $M⪢S$. At not too low temperatures, the strongly damping paramagnon modes of the conduction electrons suppress large quantum fluctuations (or spin flips) of this droplet. We show that the susceptibility follows the law ${ensuremath{chi}}_{mathrm{dc}}(T)=({M}^{2}∕T)[1ensuremath{-}{(ensuremath{pi}g)}^{ensuremath{-}1}phantom{rule{0.2em}{0ex}}mathrm{ln}(g{E}_{0}∕T)]$, where the parameter $g⪢1$ describes the strong damping by conduction electrons, and ${E}_{0}$ is the bandwidth of paramagnon modes. At exponentially low temperatures $T⪡{T}_{*}ensuremath{sim}{E}_{0}phantom{rule{0.2em}{0ex}}mathrm{exp}(ensuremath{-}ensuremath{pi}g∕2)$ we show that spin flips cannot be ignored. In this regime we find that ${ensuremath{chi}}_{mathrm{dc}}(T)ensuremath{approx}{ensuremath{chi}}_{mathrm{dc}}(0)[1ensuremath{-}(2∕3){(T∕{T}_{*})}^{2}]$, where ${ensuremath{chi}}_{mathrm{dc}}(0)ensuremath{sim}{M}^{2}∕{T}_{*}$ is finite and exponentially large in $g$. We also discuss these effects in the context of the multichannel Kondo impurity model." @default.
- W2060896370 created "2016-06-24" @default.
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- W2060896370 date "2005-01-28" @default.
- W2060896370 modified "2023-10-16" @default.
- W2060896370 title "Magnetic droplets in a metal close to a ferromagnetic quantum critical point" @default.
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- W2060896370 doi "https://doi.org/10.1103/physrevb.71.024429" @default.
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