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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2003, Volume 77, Issue 4, Pages 208–211
(Mi jetpl2739)
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This article is cited in 15 scientific papers (total in 15 papers)
CONDENSED MATTER
Magnetoresistance of highly correlated electron liquid
V. R. Shaginyanab a CTSPS, Clark Atlanta University
b B. P. Konstantinov Petersburg Nuclear Physics Institute, Russian Academy of Sciences
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 $T\geq T^*(x)$ the effective mass starts to depend on $T$, $M^*\propto T^{-1/2}$. 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, $M^*(B)\propto B^{-2/3}$, being approximately independent of the temperature at $T\leq T^*(B)\propto B^{4/3}$. At $T\geq T^*(B)$, 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 $T\geq T^*(B)$, MR as a function of the temperature possesses a node at $T\propto B^{4/3}$.
Received: 04.01.2003
Citation:
V. R. Shaginyan, “Magnetoresistance of highly correlated electron liquid”, Pis'ma v Zh. Èksper. Teoret. Fiz., 77:4 (2003), 208–211; JETP Letters, 77:4 (2003), 178–181
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https://www.mathnet.ru/eng/jetpl2739 https://www.mathnet.ru/eng/jetpl/v77/i4/p208
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Abstract page: | 118 | Full-text PDF : | 51 | References: | 42 |
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