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Based on the Keldysh formalism, we derive an effective Boltzmann equation for a quasi-particle associated with a particular Fermi surface in an interacting Fermi liquid. This provides a many-body derivation of Berry curvatures in electron…

Strongly Correlated Electrons · Physics 2009-11-11 Ryuichi Shindou , Leon Balents

Viscous flow of interacting electrons in two dimensional materials features a bunch of exotic effects. A model resembling the Navier-Stokes equation for classical fluids accounts for them in the so called hydrodynamic regime. We performed a…

Mesoscale and Nanoscale Physics · Physics 2025-07-01 Jorge Estrada-Álvarez , Francisco Domínguez-Adame , Elena Díaz

Electron dynamics in external electric fields governs the behavior of solid-state electronic devices. First-principles calculations enable precise predictions of charge transport in low electric fields. However, studies of high-field…

Materials Science · Physics 2021-09-29 Ivan Maliyov , Jinsoo Park , Marco Bernardi

Transport due to electrons in ultra-clean two dimensional systems can be hydrodynamic in nature with the momentum of the electrons being conserved in the bulk. This hydrodynamic behavior coupled with effects of Berry curvature arising from…

Strongly Correlated Electrons · Physics 2025-11-24 Anubhav Srivastava , Subroto Mukerjee

Effective dynamics of conduction electrons in antiferromagnetic (AFM) materials with slowly varying spin texture is developed via non-Abelian gauge theory. Quite different from the ferromagnetic (FM) case, the spin of a conduction electron…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Ran Cheng , Qian Niu

The emergent electric field (EEF) is a fictitious electric field acting on conduction electrons through the Berry phase mechanism. The EEF is generated by the dynamics of noncollinear spin configurations and becomes nonzero even in one…

Mesoscale and Nanoscale Physics · Physics 2024-02-12 Kotaro Shimizu , Shun Okumura , Yasuyuki Kato , Yukitoshi Motome

Surface acoustic waves (SAWs) become a popular driving source in modern condensed matter physics, but most existing theories simplify them as electric fields and ignore the non-uniform Brillouin zone folding effect. We develop a…

Mesoscale and Nanoscale Physics · Physics 2026-03-26 Zi-Qian Zhou , Zhi-Fan Zhang , Cong Xiao , Hua Jiang , X. C. Xie

In highly conductive metals with sufficiently strong momentum-conserving scattering, the electron momentum is regarded as a long-lived quantity, whose dynamics is described by an emergent hydrodynamic theory. In this paper, we develop an…

Mesoscale and Nanoscale Physics · Physics 2020-07-29 Riki Toshio , Kazuaki Takasan , Norio Kawakami

We investigate the hydrodynamic regime in metals with momentum-conserving electron-electron scattering. The conservation of momentum results in well-defined dynamics whose effects we investigate via the relevant continuity equations. We…

Mesoscale and Nanoscale Physics · Physics 2025-05-22 Nisarg Chadha , Subroto Mukerjee

We present the equations of relativistic hydrodynamics coupled to dynamical electromagnetic fields, including the effects of polarization, electric fields, and the derivative expansion. We enumerate the transport coefficients at leading…

High Energy Physics - Theory · Physics 2017-08-10 Juan Hernandez , Pavel Kovtun

We investigate dynamical transport properties of interacting electrons moving in a vibrating nanoelectromechanical wire in a magnetic field. We have built an exactly solvable model in which electric current and mechanical oscillation are…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Hangmo Yi , Kang-Hun Ahn

For over a hundred years, electron transport in conductive materials has been primarily described by the Drude model, which assumes that current flow is impeded primarily by momentum-relaxing collisions between electrons and extrinsic…

Strongly Correlated Electrons · Physics 2025-10-06 Aaron Hui , Brian Skinner

Electron hydrodynamics is currently known to emerge only when electron-electron interaction dominates over the momentum-nonconserving scatterings of electrons, where the electron transport is described by a hydrodynamic equation. Here we…

Mesoscale and Nanoscale Physics · Physics 2023-05-25 Junji Fujimoto , Wataru Koshibae , Sadamichi Maekawa

A theory of electronic friction is developed using the exact factorization of the electron-nuclear wavefunction. No assumption is made regarding the electronic bath, which can be made of independent or interacting electrons, and the nuclei…

Quantum Physics · Physics 2022-06-01 Rocco Martinazzo , Irene Burghardt

Hydrodynamic equations (HDEQs) are derived which describe spatio-temporal evolutions of the electron temperature and the chemical potential of two-dimensional systems in strong magnetic fields in states with large diagonal resistivity…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Hiroshi Akera

We develop a hydrodynamic theory for an electron system exhibiting the anomalous Hall effect, and show that an additional anomalous Hall effect is induced by a vorticity generated near boundaries. We calculate the momentum flux and force…

Mesoscale and Nanoscale Physics · Physics 2021-07-28 Hiroshi Funaki , Riki Toshio , Gen Tatara

Antiferromagnets (AFMs), in contrast to ferromagnets, show a nontrivial magnetic structure with zero net magnetization. However, they share a number of spintronic effects with ferromagnets, including spin-pumping and spin transfer torques.…

Mesoscale and Nanoscale Physics · Physics 2015-05-06 Gomonay Olena

In metallic samples of small enough size and sufficiently strong momentum-conserving scattering, the viscosity of the electron gas can become the dominant process governing transport. In this regime, momentum is a long-lived quantity whose…

Strongly Correlated Electrons · Physics 2017-06-07 Thomas Scaffidi , Nabhanila Nandi , Burkhard Schmidt , Andrew P. Mackenzie , Joel E. Moore

We consider the forces acting on electrons in magnetic field including the constraints and a condition arising from quantum mechanics. The force is calculated as the electron mass, $m_e$, multiplied by the total time-derivative of the…

Superconductivity · Physics 2024-10-02 Hiroyasu Koizumi

The solvated electron represents an elementary quantum system in a liquid environment. Electrons solvated in water have raised strong interest because of their prototypical properties, their role in radiation chemistry, and their relevance…

Chemical Physics · Physics 2022-04-15 Michael Woerner , Benjamin P. Fingerhut , Thomas Elsaesser
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