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\begin{document}
\title{Thermodynamical anomalous Hall effect in spin-polarized electron system}
\author{\underline{E.A. Pamyatnykh}}
\affiliation{Ural Federal University, Ekaterinburg, Russia}
\author{V.I. Okulov}
\affiliation{Institute for Metal Physics, Ekaterinburg, Russia}
\author{A.T. Lonchakov}
\affiliation{Institute for Metal Physics, Ekaterinburg, Russia}
\author{Yu.V. Zabaznov}
\affiliation{Ural Federal University, Ekaterinburg, Russia}
\begin{abstract}
Theoretical description of new thermodynamic mechanism of anomalous Hall effect is  presented. Consideration is based on separation of magnetization current, resulting from the magnetization $M_0$ of the system and not contributing to the Hall voltage. The Hall voltage is contributed by the remaining part of locally equilibrium nondissipative current — conduction current $j_c$, determined by the equality of the force acting in a conductor with current by the magnetic field and the pressure force. As a result, for $\Omega\tau<<1$ ($\Omega$ — cyclotron frequency, $\tau$ — mean free time of electrons) we obtain the following formula for the Hall resistance: $\rho_H=\rho(\rho\sigma_m+\Omega\tau)$, where $\rho$  — resistivity, $\sigma_m=ec(\partial{M_0}/\partial{\zeta})$ — “conductivity of the magnetization” which does not depend of the magnetic field ($\zeta$ — electrochemical potential). This expression contains a linear term on the magnetic field ($\rho\Omega\tau$) and independent of magnetic field anomalous contribution ($\rho^{2}\sigma_m$). This expression describes experimental dependencies [1].


\textbf{References:}
\begin{spacing}{0.8}

{\scriptsize[1] Lonchakov A.T., Okulov V.I., Govorkova T.E., Andrichuk M.D., Paranchich L.D. — JETP Letters, 96, 444 (2012).}
\end{spacing}

\end{abstract}
\maketitle

\end{document}
