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Related papers: Conditions for $T^2$ resistivity from electron-ele…

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Room-temperature metallicity of lightly doped SrTiO$_3$ is puzzling, because the combination of mobility and the effective mass would imply a mean-free-path (mfp) below the Mott Ioffe Regel (MIR) limit and a scattering time shorter than the…

Materials Science · Physics 2020-08-12 Clément Collignon , Phillipe Bourges , Benoît Fauqué , Kamran Behnia

Cooling oxygen-deficient strontium titanate to liquid-helium temperature leads to a decrease in its electrical resistivity by several orders of magnitude. The temperature dependence of resistivity follows a rough T$^{3}$ behavior before…

Strongly Correlated Electrons · Physics 2017-07-25 Xiao Lin , Carl Willem Rischau , Lisa Buchauer , Alexandre Jaoui , Benoit Fauque , Kamran Behnia

We revisited the influence of electron-electron scattering on the resistivity of a two-dimensional system with linear spectrum. In conventional systems with parabolic spectrum, where Umklapp scattering is either prohibited or ineffective…

Mesoscale and Nanoscale Physics · Physics 2025-05-19 V. M. Kovalev , M. V. Entin , Z. D. Kvon , A. D. Levin , V. A. Chitta , G. M. Gusev , N. N. Mikhailov

The quadratic low-temperature dependence of resistance in ordinary metals is determined by the momentum relaxation due to electron-electron scattering in the presence Umklapp processes and scattering on impurities. In metals without…

Strongly Correlated Electrons · Physics 2021-05-12 V. P. Mineev

The electron-electron scattering increases the resistance of ballistic many-mode channels whose width is smaller than their length. We show that this increase saturates in the limit of infinitely long channels. Because the mechanisms of…

Mesoscale and Nanoscale Physics · Physics 2018-04-12 K. E. Nagaev

We present a rigorous solution of the Boltzmann equation for the electron-phonon scattering problem in three spatial dimensions in the limit of low temperatures. The different temperature scaling of the various scattering rates turns the…

Mathematical Physics · Physics 2021-03-17 J. Amarel , D. Belitz , T. R. Kirkpatrick

We show that electron--electron scattering gives a positive contribution to the resistivity of ballistic multimode wires whose width is much smaller than their length. This contribution is not exponentially small at low temperatures and…

Mesoscale and Nanoscale Physics · Physics 2012-04-09 K. E. Nagaev , N. Yu. Sergeeva

The relaxation rate in Nb-doped strontium titanate involving different scattering channels is investigated theoretically. It is demonstrated that the total relaxation rate in SrTiO_{3} is provided mainly by two mechanisms. The Baber…

Strongly Correlated Electrons · Physics 2012-11-14 S. N. Klimin , J. Tempere , D. van der Marel , J. T. Devreese

We consider clean metals, at finite temperature, in which the inelastic rate, $\hbar/ \tau_{ee}$, can become of the order of, or larger, than the band splitting energy. We show that in suchsystems, contrary to the common knowledge, the…

Strongly Correlated Electrons · Physics 2017-10-11 Igor Aleiner , Oded Agam

Both the semi-classical and quantum transport properties of F-doped SnO$_2$ thick films ($\sim$1\,$\mu$m) were investigated experimentally. It is found that the resistivity caused by the thermal phonons obeys Bloch-Gr\"{u}neisen law from…

Materials Science · Physics 2014-08-06 Wen-Jing Lang , Zhi-Qing Li

The thermal fluctuations of the electric field between the CuO_2 planes of layered cuprates are considered as an origin of the electrical resistivity. The model evaluation employs a set of separate plane capacitors each having area equal to…

Superconductivity · Physics 2009-10-31 Todor M. Mishonov , Mihail T. Mishonov

We report an unconventional temperature dependence of the resistivity in several strongly correlated systems approaching a localized to itinerant electronic transition from the itinerant electron side. The observed resistivity, proportioanl…

Strongly Correlated Electrons · Physics 2009-11-10 F. Rivadulla , J. -S. Zhou , J. B. Goodenough

The electrical resistivity of Fermi liquids (FLs) displays a quadratic temperature ($T$) dependence because of electron-electron (e-e) scattering. For such collisions to decay the charge current, there are two known mechanisms: inter-band…

Strongly Correlated Electrons · Physics 2020-08-04 Jialu Wang , Jing Wu , Tao Wang , Zhuokai Xu , Jifeng Wu , Wanghua Hu , Zhi Ren , Shi Liu , Kamran Behnia , Xiao Lin

Many metals display resistivity saturation - a substantial decrease in the slope of the resistivity as a function of temperature, that occurs when the electron scattering rate $\tau^{-1}$ becomes comparable to the Fermi energy $E_F/\hbar$…

Mesoscale and Nanoscale Physics · Physics 2016-02-10 Yochai Werman , Erez Berg

In this work, we employed non-equilibrium Green's function to investigate the electron transport properties in the nanowire with the presence of scatterings. The scattering mechanism is modelled by using the concept of B\"uttiker probe. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Jing Li , Tin Cheung Au Yeung , Chan Hin Kam

Scattering among electrons generates a distinct contribution to electrical resistivity that follows a quadratic temperature dependence. In strongly-correlated electron systems, the prefactor A of this T$^2$ resistivity scales with the…

Strongly Correlated Electrons · Physics 2015-09-01 Xiao Lin , Benoit Fauque , Kamran Behnia

We study the interplay of electron-electron and electron-disorder scattering in correlated Fermi liquids by the disordered Hubbard model using dynamical mean-field theory with an IPT-CPA solver. We find significant violations of…

Strongly Correlated Electrons · Physics 2025-02-25 Arianna Poli , Simone Fratini , Jennifer Coulter , Andrew J. Millis , Sergio Ciuchi

We study the electrical and thermal transport properties and the violation of the Wiedemann-Franz (WF) law of two-carrier semimetals using exact treatments of the Boltzmann equation with the impurity and electron-electron scatterings in a…

Strongly Correlated Electrons · Physics 2025-10-09 Keigo Takahashi , Hiroyasu Matsuura , Hideaki Maebashi , Masao Ogata

Resistivity saturation is observed in many metallic systems with a large resistivity, i.e., when the resistivity has reached a critical value, its further increase with temperature is substantially reduced. This typically happens when the…

Strongly Correlated Electrons · Physics 2009-11-10 O. Gunnarsson , M. Calandra , J. E. Han

In various "strange" metals, electrons undergo Planckian dissipation, a strong and anomalous scattering that grows linearly with temperature, in contrast to the quadratic temperature dependence expected from the standard theory of metals.…

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