Effect of electron-phonon scattering on the anomalous Hall conductivity of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mtext>Fe</mml:mtext><mml:mn>3</mml:mn></mml:msub><mml:mtext>Sn</mml:mtext></mml:mrow></mml:math>: A kagome ferromagnetic metal
Achintya Low, Susanta Kumar Ghosh, Soumya Ghorai, S. Thirupathaiah
Abstract
We report on magnetic and magnetotransport studies of the kagome ferromagnetic metal ${\mathrm{Fe}}_{3}\mathrm{Sn}$. Our studies reveal a large anomalous Hall conductivity ${\ensuremath{\sigma}}_{zx}$ in this system, mainly contributed by temperature-independent intrinsic Hall conductivity (${\ensuremath{\sigma}}_{zx}^{\mathrm{int}}=485\ifmmode\pm\else\textpm\fi{}60\phantom{\rule{0.16em}{0ex}}\mathrm{S}\phantom{\rule{0.16em}{0ex}}{\mathrm{cm}}^{\ensuremath{-}1}$) and temperature-dependent extrinsic Hall conductivity ${\ensuremath{\sigma}}_{zx}^{\mathrm{ext}}$ due to skew scattering. Although the ${\ensuremath{\sigma}}_{zx}^{\mathrm{ext}}$ value is large and almost equivalent to the intrinsic Hall conductivity at low temperatures, it drastically decreases with increasing temperature, following the relation ${\ensuremath{\sigma}}_{zx}^{\mathrm{ext}}=\frac{{\ensuremath{\sigma}}_{zx0}^{\mathrm{ext}}}{{(aT+1)}^{2}}$, under the influence of electron-phonon scattering. The presence of electron-phonon scattering in this system is also confirmed by the linear dependence of the longitudinal electrical resistivity at higher temperatures $[\ensuremath{\rho}(T)\ensuremath{\propto}T]$. We further find that ${\mathrm{Fe}}_{3}\mathrm{Sn}$ is a soft ferromagnet with an easy axis of magnetization lying in the $\mathit{ab}$ plane of the crystal with a magnetocrystalline anisotropy energy density as large as $1.02\ifmmode\times\else\texttimes\fi{}{10}^{6}\phantom{\rule{0.16em}{0ex}}\mathrm{J}\phantom{\rule{0.16em}{0ex}}{\mathrm{m}}^{\ensuremath{-}3}$.