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In our short review, we consider the transport properties of strongly correlated Fermi systems like heavy fermion metals and high-$T_c$ superconductors. Their transport properties are defined by strong inter-particle interaction forming…

Strongly Correlated Electrons · Physics 2023-11-16 V. R. Shaginyan , A. Z. Msezane , M. V. Zverev

Optical phonons naturally generate linear-in-$T$ resistivity in the high-temperature equipartition regime, but their finite gap prevents this mechanism from surviving to asymptotically low temperatures. Here we analyze whether proximity to…

Strongly Correlated Electrons · Physics 2026-03-13 Haoyu Guo , Debanjan Chowdhury

The phonon contribution to the thermal conductivity at low temperature in superconductors with line nodes is calculated assuming that scattering by both nodal quasiparticles and the sample boundaries is significant. It is determined that,…

Superconductivity · Physics 2007-05-23 M. F. Smith

When the electron-phonon coupling is quadratic in the phonon coordinates, electrons can pair to form bipolarons due to phonon zero-point fluctuations, a purely quantum effect. We study superconductivity originating from this pairing…

Superconductivity · Physics 2024-09-18 Zhaoyu Han , Steven A. Kivelson , Pavel A. Volkov

We consider a short-range deformation potential scattering model of electron-acoustic phonon interaction to calculate the resistivity of an ideal metal as a function of temperature (T) and electron density (n). We consider both 3D metals…

Strongly Correlated Electrons · Physics 2019-02-07 E. H. Hwang , S. Das Sarma

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 have used a combination of ultrafast coherent phonon spectroscopy, ultrafast thermometry, and time-dependent Landau theory to study the inversion symmetry breaking phase transition at $T_c = 200$ K in the strongly spin-orbit coupled…

Strongly Correlated Electrons · Physics 2018-01-26 J. W. Harter , D. M. Kennes , H. Chu , A. de la Torre , Z. Y. Zhao , J. -Q. Yan , D. G. Mandrus , A. J. Millis , D. Hsieh

Electrical resistivity in good metals, particularly noble metals such as gold (Au), silver (Ag), or copper, increases linearly with temperature ($T$) for $T > \Theta_{\mathrm{D}}$, where $\Theta_{\mathrm{D}}$ is the Debye temperature. This…

We extend the theory of shot noise in coherent metals to shot noise in strange metals without quasiparticle excitations. This requires a generalization of the Boltzmann equation with a noise source to distribution functions which depend…

Strongly Correlated Electrons · Physics 2023-11-17 Alexander Nikolaenko , Subir Sachdev , Aavishkar A. Patel

We discuss elastic instabilities of the atomic crystal lattice at zero temperature. Due to long-range shear forces of the solid, at such transitions the phonon velocities vanish, if at all, only along certain crystallographic directions,…

Strongly Correlated Electrons · Physics 2015-07-16 Mario Zacharias , Indranil Paul , Markus Garst

The low-temperature kinetics of the strongly correlated electron liquid inhabiting a solid is analyzed. It is demonstrated that a softly damped branch of transverse zero sound emerges when several bands cross the Fermi surface…

Strongly Correlated Electrons · Physics 2010-10-22 V. A. Khodel , J. W. Clark , M. V. Zverev

In metals near a quantum critical point, the electrical resistance is thought to be determined by the lifetime of the carriers of current, rather than the scattering from defects. The observation of $T$-linear resistivity suggests that the…

Strongly Correlated Electrons · Physics 2017-05-16 I. M. Hayes , Nicholas P. Breznay , Toni Helm , Philip Moll , Mark Wartenbe , Ross D. McDonald , Arkady Shekhter , James G. Analytis

The electron dynamics in metals are usually well described by the semiclassical approximation for long-lived quasiparticles. However, in some metals, the scattering rate of the electrons at elevated temperatures becomes comparable to the…

Strongly Correlated Electrons · Physics 2017-12-21 Yochai Werman , Steven A. Kivelson , Erez Berg

The effect of ferroelectric fluctuations on the temperature dependent dielectric constant of SrTiO$_3\,$(STO) has been long studied. Those fluctuations have been shown in recent years to be quantum critical and STO demonstrated to form the…

Strongly Correlated Electrons · Physics 2019-12-18 M. J. Coak , C. R. S. Haines , C. Liu , G. G. Guzmán-Verri , S. S. Saxena

We examine the effect on the DC resistivity of small-q electron-phonon scattering, in a system with the electronic topology of the high-T_c oxides. Despite the fact that the scattering is dominantly forward, its contribution to the…

Superconductivity · Physics 2009-10-30 G. Varelogiannis , E. N. Economou

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

Transition-metal perovskite oxides exhibit moderately correlated metallic phases, several of which exhibit a $T^2$ resistivity scaling up to temperatures far exceeding the regime where Fermi-liquid electron-electron scattering is expected…

Materials Science · Physics 2026-04-02 Jennifer Coulter , Fabian B. Kugler , Harrison LaBollita , Antoine Georges , Cyrus E. Dreyer

We present a theoretical study of electron-phonon scattering effects in thin films made of a strong topological insulator. Phonons are modelled by isotropic elastic continuum theory with stress-free boundary conditions, and the interaction…

Mesoscale and Nanoscale Physics · Physics 2012-01-26 Sébastien Giraud , Arijit Kundu , Reinhold Egger

Fundamental upper bounds on the electron-phonon interaction strength and superconducting transition temperature $T_c$ in metals are established based on the intrinsic instability of the equilibrium between electrons and the crystal lattice…

Superconductivity · Physics 2025-08-05 Dmitrii V. Semenok , Boris L. Altshuler , Emil A. Yuzbashyan

By partitioning the electronic system of the optimally doped cuprates in two electronic components: (1) mobile electrons on oxygen sub-lattice; and (2) localized spins on copper sub-lattice, and considering the scattering of mobile…

Strongly Correlated Electrons · Physics 2025-07-10 Charu Dhiman , Raman Sharma , Navinder Singh
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