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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

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

The dielectric properties of strontium titanate (SrTiO$_3$) have previously been reported from room temperature to low temperatures with conflicting results. In this work, precision measurement of the permittivity is undertaken by…

Materials Science · Physics 2015-09-01 Maxim Goryachev , Lingfei Zhao , Zijun Zhao , Warrick G. Farr , Jerzy Krupka , Michael E. Tobar

The temperature dependence of the phase space for electron-electron (e-e) collisions leads to a T-square contribution to electrical resistivity of metals. Umklapp scattering are identified as the origin of momentum loss due to e-e…

Strongly Correlated Electrons · Physics 2023-07-12 Shan Jiang , Benoît Fauqué , Kamran Behnia

Strontium titanate is a wide-gap semiconductor avoiding a ferroelectric instability thanks to quantum fluctuations. This proximity leads to strong screening of static Coulomb interaction and paves the way for the emergence of a very dilute…

Superconductivity · Physics 2018-11-27 Clément Collignon , Xiao Lin , Carl Willem Rischau , Benoît Fauqué , Kamran Behnia

Metallic strontium titanate (SrTiO$_3$) is known to have both normal-state and superconducting properties that vary strongly over a wide range of charge carrier densities. This indicates the importance of nonlinear dynamics, and has…

Strongly Correlated Electrons · Physics 2025-01-27 A. Najev , N. Somun , M. Spaić , I. Khayr , M. Greven , A. Klein , M. N. Gastiasoro , D. Pelc

SrTiO$_3$, although a wide gap insulator, has long been known to become metallic and superconducting at extremely low doping levels. This has given rise to questions concerning the coexistence or interdependence of metallicity,…

Perturbative considerations account for the properties of conventional metals, including the range of temperatures where the transport scattering rate is $1/\tau_\text{tr} = 2\pi \lambda T$, where $\lambda$ is a dimensionless strength of…

Strongly Correlated Electrons · Physics 2023-05-16 Chaitanya Murthy , Akshat Pandey , Ilya Esterlis , Steven A. Kivelson

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

Doped strontium titanate becomes superconducting at a density as low as n = 5 x 10^17 cm^-3, where the Fermi energy is orders of magnitude smaller than the longitudinal-optical-phonon frequencies. In this limit the only optical mode with a…

Superconductivity · Physics 2016-12-28 Jonathan Ruhman , Patrick A. Lee

Strange metal behavior refers to a linear temperature dependence of the electrical resistivity at temperatures below the Mott-Ioffe-Regel limit. It is seen in numerous strongly correlated electron systems, from the heavy fermion compounds,…

Strongly Correlated Electrons · Physics 2022-05-24 Mathieu Taupin , Silke Paschen

The most puzzling aspect of the 'strange metal' behavior of correlated electron compounds is that the linear in temperature resistivity often extends down to low temperatures, lower than natural microscopic energy scales. We consider…

Strongly Correlated Electrons · Physics 2020-08-10 Haoyu Guo , Yingfei Gu , Subir Sachdev

We consider electron transport in a nearly half-metallic ferromagnet, in which the minority spin electrons close to the band edge at the Fermi energy are Anderson-localized due to disorder. For the case of spin-flip scattering of the…

Materials Science · Physics 2009-10-31 Xindong Wang , X. -G. Zhang

We show that near a quantum critical point generating quantum criticality of strongly correlated metals where the density of electron states diverges, the quasi-classical physics remains applicable to the description of the resistivity \rho…

Strongly Correlated Electrons · Physics 2013-09-12 V. R. Shaginyan , K. G. Popov , V. A. Khodel

Peculiarities of transport properties of three- and two-dimensional half-metallic ferromagnets are investigated, which are connected with the absence of spin-flip scattering processes. The temperature and magnetic field dependences of…

Strongly Correlated Electrons · Physics 2009-11-07 V. Yu. Irkhin , M. I. Katsnelson

The superconducting and structural properties of elemental strontium metal were investigated under pressures up to 60 GPa while maintaining cryogenic conditions during pressure application. Applying pressure at low temperatures reveals…

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

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

SrRuO$_3$, a ferromagnet with an approximately 160\,K Curie temperature, exhibits a $T^2$ dependent dc resistivity below $\approx$ 30 K. Nevertheless, previous optical studies in the infrared and terahertz range show non-Drude dynamics at…

Superconducting strontium titanate (STO) is in the spotlight as a low carrier concentration semiconductor in proximity to polar order. Its superconducting pairing mechanism poses an open fundamental challenge, which may be resolved by…

Superconductivity · Physics 2019-08-20 Chloe Herrera , Ilya Sochnikov
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