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Interactions of charge carriers with lattice vibrations, or phonons, play a critical role in unconventional electronic transport of metals and semimetals. Recent observations of phonon-mediated collective electron flow in bulk semimetals,…

The two-dimensional electron gas at the LaTiO3/SrTiO3 or LaAlO3/SrTiO3 oxide interfaces becomes superconducting when the carrier density is tuned by gating. The measured resistance and superfluid density reveal an inhomogeneous…

We obtain a rigorous upper bound on the resistivity $\rho$ of an electron fluid whose electronic mean free path is short compared to the scale of spatial inhomogeneities. When such a hydrodynamic electron fluid supports a non-thermal…

Strongly Correlated Electrons · Physics 2018-04-24 Andrew Lucas , Sean A. Hartnoll

We present the theory of thermoelectric transport in metals with long-lived quasiparticles, carefully addressing the interplay of electron-electron scattering as well as electron-impurity scattering, but neglecting electron-phonon…

Strongly Correlated Electrons · Physics 2018-06-27 Andrew Lucas , Sankar Das Sarma

We study Coulomb drag between an active layer with a clean electron liquid and a passive layer with a pinned electron lattice in the regime of fast intralayer equilibration. Such a two-fluid system offers an experimentally realizable way to…

Strongly Correlated Electrons · Physics 2019-12-17 Tobias Holder

Viscous electron flow exhibits exotic signatures such as superballistic conduction. In order to observe hydrodynamics effects, a 2D device where the current flow is as inhomogeneous as possible is desirable. To this end, we build three…

Electron hydrodynamics arises when momentum-relaxing scattering processes are slow compared to momentum-conserving ones. While the microscopic details necessary to satisfy this condition are material-specific, experimentally accessible…

Materials Science · Physics 2022-04-14 Georgios Varnavides , Adam S. Jermyn , Polina Anikeeva , Prineha Narang

Although the intrinsic conductance of an interacting one-dimensional system is renormalized by the electron-electron correlations, it has been known for some time that this renormalization is washed out by the presence of the…

Mesoscale and Nanoscale Physics · Physics 2018-04-27 Thomas Kloss , Joseph Weston , Xavier Waintal

We calculate the electronic transport properties of a system which is irradiated by a homogeneous microwave field. Within a Boltzmann equation approach, a general expression for the conductivity tensor is derived and evaluated for a quasi…

Condensed Matter · Physics 2009-10-28 Tobias Brandes

Periodically driven coherent conductors provide a universal platform for the development of quantum transport devices. Here, we lay down a comprehensive theory to describe the thermodynamics of these systems. We first focus on moderate…

Mesoscale and Nanoscale Physics · Physics 2021-04-15 Elina Potanina , Christian Flindt , Michael Moskalets , Kay Brandner

Nonlinear charge transport in strongly coupled semiconductor superlattices is described by Wigner-Poisson kinetic equations involving one or two minibands. Electron-electron collisions are treated within the Hartree approximation whereas…

Mesoscale and Nanoscale Physics · Physics 2008-11-16 L. L. Bonilla , L. Barletti , M. Alvaro

We consider hydrodynamic electron transport in the Hall-bar geometry. The theory is developed for systems with non-Galilean-invariant electron liquids. We show that inhomogeneity of the electron density induced by long-range disorder and…

Mesoscale and Nanoscale Physics · Physics 2022-04-27 Songci Li , A. V. Andreev , Alex Levchenko

Recent experimental results suggest that a particular hydrodynamic theory describes charge fluctuations at long wavelengths in the square-lattice Hubbard model. Due to the continuity equation, the correlation functions for the charge and…

Strongly Correlated Electrons · Physics 2025-02-05 J. Vucicevic , S. Predin , M. Ferrero

Quantum-confined semiconductor structures are the cornerstone of modern-day electronics. Spatial confinement in these structures leads to formation of discrete low-dimensional subbands. At room temperature, carriers transfer among different…

Mesoscale and Nanoscale Physics · Physics 2009-08-14 I. Knezevic , E. B. Ramayya , D. Vasileska , S. M. Goodnick

Electron hydrodynamics is an emerging framework that describes dynamics of interacting electron systems as conventional fluids. While evidence for hydrodynamic-like transport is reported in a variety of two-dimensional materials, precise…

Mesoscale and Nanoscale Physics · Physics 2025-03-25 Yihang Zeng , Haoyu Guo , Olivia M. Ghosh , Kenji Watanabe , Takashi Taniguchi , Leonid S. Levitov , Cory R. Dean

One-dimensional topological superconductors accommodate a pair of Majorana zero modes at their ends. In an interferometer containing such a topological superconductor, electron transport is significantly affected by the Majorana zero modes…

Mesoscale and Nanoscale Physics · Physics 2026-05-28 Kyosuke Mizuno , Yuto Takarabe , Yositake Takane

For a non-superconducting system, the electronic tunneling current through an insulating barrier is calculated, including interaction effects. The exact Hamiltonian of the full system is projected onto the subspaces of the "left" and…

Mesoscale and Nanoscale Physics · Physics 2010-07-09 Kelly R. Patton

The Landauer formula for quantum conductance, based on the modern paradigm: "conduction is transmission", is generalized to samples of macroscopic size. Two regimes of electrical conduction, namely diffusive and ballistic ones, are studied.…

Condensed Matter · Physics 2007-05-23 P. R. Silva , Marcos Sampaio , C. Nassif , M. C. Nemes

Materials with strongly-correlated electrons exhibit interesting phenomena such as metal-insulator transitions and high-temperature superconductivity. In stark contrast to ordinary metals, electron transport in these materials is thought to…

Strongly Correlated Electrons · Physics 2019-11-19 J. Gooth , F. Menges , C. Shekhar , V. Süß , N. Kumar , Y. Sun , U. Drechsler , R. Zierold , C. Felser , B. Gotsmann

We study heat conduction in a one-dimensional {finite}, unpinned chain of atoms perturbed by stochastic momentum exchange and coupled to Langevin heat baths at {possibly} distinct temperatures placed at the endpoints of the chain. While…

Mathematical Physics · Physics 2025-12-05 Tomasz Komorowski , Stefano Olla