Magnetoresistance of Highly Correlated Electron Liquid

Abstract

The behavior in magnetic fields of a highly correlated electron liquid approaching the fermion condensation quantum phase transition from the disordered phase is considered. We show that at sufficiently high temperatures $T\ge T^{\ast }(x)$ the effective mass starts to depend on $T$, $M^{\ast }\propto T^{-1/2}$. This $T^{-1/2}$ dependence of the effective mass at elevated temperatures leads to the non-Fermi liquid behavior of the resistivity, $\rho (T)\propto T$ and at higher temperatures $\rho (T)\propto T^{3/2}$. The application of a magnetic field $B$ restores the common $T^2$ behavior of the resistivity. The effective mass depends on the magnetic field, $M^{\ast }(B)\propto B^{-2/3}$, being approximately independent of the temperature at $T\le T^{\ast }(B)\propto B^{4/3}$. At $T\ge T^{\ast }(B)$, the $T^{-1/2}$ dependence of the effective mass is re-established. We demonstrate that this $B-T$ phase diagram has a strong impact on the magnetoresistance (MR) of the highly correlated electron liquid. The MR as a function of the temperature exhibits a transition from the negative values of MR at $T\to 0$ to the positive values at $T\propto B^{4/3}$. Thus, at $T\ge T^{\ast }(B)$, MR as a function of the temperature possesses a node at $T\propto B^{4/3}$.

7 pages, revtex, no figures

References in corpus (2)

• Magnetic-Field Induced Quantum Critical Point in YbRh${}_2$Si${}_2$
• Heat Transport in a Strongly Overdoped Cuprate: Fermi Liquid and Pure d-wave BCS Superconductor

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