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We present a conceptually simple method for treating electron-phonon scattering and phonon limited mobilities. By combining Green's function based transport calculations and molecular dynamics (MD), we obtain a temperature dependent…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 Troels Markussen , Mattias Palsgaard , Daniele Stradi , Tue Gunst , Mads Brandbyge , Kurt Stokbro

We present a simple quantum-mechanical derivation of correlation function of Langevin sources in the semiclassical Boltzmann--Langevin equation. The specific case of electron--phonon scattering is considered. It is shown that the assumption…

Statistical Mechanics · Physics 2015-09-22 K. E. Nagaev

The Hall scattering factor is formulated using Rode's iterative approach to solving the Boltzmann transport equation in such a way that it may be easily computed within the scope of ab-inito calculations. Using this method in conjunction…

The electron-phonon coupling in ultrafast heating systems is studied within the framework of Boltzmann transport equation (BTE) with coupled electron and phonon transport. A discrete unified gas kinetic scheme is developed to solve the BTE,…

Mesoscale and Nanoscale Physics · Physics 2023-08-25 Chuang Zhang , Rulei Guo , Meng Lian , Junichiro Shiomi

This paper investigates the mobility of electrons scattering from the coupled system of electrons and longitudinal optical (LO) phonons in n-type GaAs. The Boltzmann equation is solved exactly for low electric fields by an iterative method,…

Condensed Matter · Physics 2016-08-31 B. A. Sanborn

We study the polariton relaxation dynamics for different scattering mechanisms as: Phonon and electron scattering procesess. The relaxation polariton is obtained at very short times by solving the Boltzman equation. Instead of the…

Other Condensed Matter · Physics 2009-11-11 F. Chaves , F. J. Rodriguez

In many physical situations in which many-body assemblies exist at temperature $T$, a characteristic quantum-mechanical time scale of approximately $\hbar/k_{B}T$ can be identified in both theory and experiment, leading to speculation that…

Strongly Correlated Electrons · Physics 2024-10-30 F. Sun , S. Mishra , U. Stockert , R. Daou , N. Kikugawa , R. S. Perry , E. Hassinger , S. A. Hartnoll , A. P. Mackenzie , V. Sunko

We solve the problem of electron scattering at a potential temporal step discontinuity. We show that the Schrodinger equation cannot account for scattering in this problem, necessitating resort to the Dirac equation, and that breaking gauge…

Quantum Physics · Physics 2024-03-12 Furkan Ok , Amir Bahrami , Christophe Caloz

Using the Boltzmann equation for electrons in metals, we show that the optical phonons soften and have a dispersion due to screening in agreement with the results reported recently [M. Reizer, Phys. Rev. B {\bf 61}, 40 (2000)]. Additional…

Materials Science · Physics 2009-11-07 L. A. Falkovsky

Photoexcited hot carriers in solids can drive processes, such as photocatalytic reactions on the surface, beyond those available in thermal equilibrium. Hot-electron-mediated reaction pathways are limited by the thermalization of the…

Materials Science · Physics 2026-04-13 Christopher Seibel , Tobias Held , Markus Uehlein , Baerbel Rethfeld

A scattering problem (or more precisely, a transmission-reflection problem) of linearized excitations in the presence of a dark soliton is considered in a one-dimensional nonlinear Schr\"odinger system with a general nonlinearity: $…

Quantum Gases · Physics 2012-08-14 Daisuke A. Takahashi

In a previous paper (Paper I) we developed a technique for exactly solving the linearized Boltzmann equation for the electrical and thermal transport coefficients in metals in the low-temperature limit. Here we adapt this technique to…

Statistical Mechanics · Physics 2021-01-04 J. Amarel , D. Belitz , T. R. Kirkpatrick

Spatially-resolved heating and cooling in nanostructures is nowadays measured with various nanoscale thermometry techniques, including scanning thermometry. Yet the most commonly used theory of nanoscale heating and thermoelectricity --…

Mesoscale and Nanoscale Physics · Physics 2024-12-04 Nico G. Leumer , Denis M. Basko , Rodolfo A. Jalabert , Dietmar Weinmann , Robert S. Whitney

We study the scattering of an electron by a ferromagnetic domain wall of the quantum Heisenberg-Ising model (XXZ model) with certain boundary conditions. The spin of the electron interacts with the spins of the XXZ model by the Hund…

Statistical Mechanics · Physics 2007-05-23 Masanori Yamanaka , Tohru Koma

This paper describes a simple and general method for deriving the inelastic collision term in the electron Boltzmann equation for scattering from a coupled electron-phonon system, and applies the method to the case of doped polar…

Condensed Matter · Physics 2016-08-31 B. A. Sanborn

The effect of electron-phonon scattering processes over the thermoelectric properties of extrinsic graphene was studied. Electrical and thermal resistivity, as well as the thermopower, were calculated within the Bloch theory approximations.…

Mesoscale and Nanoscale Physics · Physics 2012-08-02 Enrique Muñoz

We have studied the electron-phonon (e-p) interaction in thin Cu and Au films at sub-Kelvin temperatures with the help of the hot electron effect, using symmetric normal metal-insulator-superconductor tunnel junction pairs as thermometers.…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 J. T. Karvonen , L. J. Taskinen , I. J. Maasilta

We report on the effect of elastic intervalley scattering on the energy transport between electrons and phonons in many-valley semiconductors. We derive a general expression for the electron-phonon energy flow rate at the limit where…

Disordered Systems and Neural Networks · Physics 2015-06-25 M. Prunnila , P. Kivinen , A. Savin , P. Torma , J. Ahopelto

We present a simple and efficient approximation to the electron-phonon scattering rate suitable for high-throughput screening of candidate materials for thermoelectric devices, based on electronic transport. The method is applied to…

Materials Science · Physics 2015-11-30 Georgy Samsonidze , Boris Kozinsky

The theory of Raman scattering in half-metals by optical phonons interacting with conduction electrons is developed. We evaluate the effect of electron-phonon interactions at ferromagnetic ordering in terms of the Boltzmann equation for…

Materials Science · Physics 2014-03-25 L. A. Falkovsky