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Path-integral approach to the tight-binding polaron is extended to multiple optical phonon modes of arbitrary dispersion and polarization. The non-linear lattice effects are neglected. Only one electron band is considered. The…

Strongly Correlated Electrons · Physics 2009-11-11 Pavel Kornilovitch

A path-integral approach to lattice polarons is developed. The method is based on exact analytical elimination of phonons and subsequent Monte Carlo simulation of self-interacting fermions. The analytical basis of the method is presented…

Strongly Correlated Electrons · Physics 2015-06-25 Pavel Kornilovitch

Polaron binding energy and effective mass are calculated for semiconductors with wurtzite crystalline structure from the first order electron-phonon corrections to the self-energy. A recently introduced Frohlich-like electron-phonon…

Materials Science · Physics 2019-08-17 M. E. Mora-Ramos , F. J. Rodriguez , L. Quiroga

Electron-phonon coupling, diagonal in a real space formulation, leads to polaron paradigm of smoothly varying properties. However, fundamental changes, namely the singular behavior of polarons, occur if non-diagonal pairing is involved into…

Strongly Correlated Electrons · Physics 2020-06-11 E. I. Shneyder , S. V. Nikolaev , M. V. Zotova , R. A. Kaldin , S. G. Ovchinnikov

Driven by novel approaches and computational techniques, second-principles atomic potentials are nowadays at the forefront of computational materials science, enabling large-scale simulations of material properties with…

Materials Science · Physics 2025-10-10 Miao Yu , Fernando Gómez-Ortiz , Louis Bastogne , Jin-Zhu Zhao , Philippe Ghosez

The theoretical description of materials' properties driven out of equilibrium has important consequences in various fields such as semiconductor spintronics, nonlinear optics, continuous and discrete quantum information science and…

Materials Science · Physics 2025-09-18 Jacopo Simoni , Gabriele Riva , Yuan Ping

Using for unperturbed electron and phonon Hamiltonians a representation by the Jacobi matrices a one-dimensional model of the electron-phonon interaction is constructed. In frame of the model the polaron and scattering spectral bands are…

Other Condensed Matter · Physics 2007-05-23 Yu. A. Kuperin , B. S. Pavlov , R. V. Romanov , G. E. Rudin

Electron-phonon coupling (EPC) is fundamental for understanding the behavior of molecules and crystals, influencing phenomena such as charge transport, energy transfer, phase transitions, and polaron formation. Accurate computational…

Chemical Physics · Physics 2025-07-29 Konrad Merkel , Maximilian F. X. Dorfner , Manuel Engel , Georg Kresse , Frank Ortmann

We develop a method for calculating the electron-phonon vertex in polar semiconductors and insulators from first principles. The present formalism generalizes the Fr\"ohlich vertex to the case of anisotropic materials and multiple phonon…

Materials Science · Physics 2015-10-22 Carla Verdi , Feliciano Giustino

We report the computation of the Standard Hamiltonian of a coupled electron-phonon system by accurately computing the electron-phonon interaction (EPI) contribution to the total energy. This gives the most accurate ab initio total energy…

Materials Science · Physics 2025-08-25 Shilpa Paul , M. P. Gururajan , Amrita Bhattacharya , T. R. S. Prasanna

The distribution function of electrons and phonons interacting with electrons in semiconductors and semimetals in high electric and quantizing magnetic fields as a result of the solution of the coupled system of equations for the density…

Condensed Matter · Physics 2007-05-23 T. M. Gassym

Inelastic scattering experiments are key methods for mapping the full dispersion of fundamental excitations of solids in the ground as well as non-equilibrium states. A quantitative analysis of inelastic scattering in terms of phonon…

We propose a macroscopic theory of optical phonons, Fr{\"o}hlich polarons, and exciton-polarons in two-dimensional (2D) polar crystalline monolayers. Our theory extends the classical macroscopic formulation of the electron-phonon problem in…

Mesoscale and Nanoscale Physics · Physics 2025-03-05 V. Shahnazaryan , A. Kudlis , I. V. Tokatly

First-principles calculations of $e$-ph interactions are becoming a pillar of electronic structure theory. However, the current approach is incomplete. The piezoelectric (PE) $e$-ph interaction, a long-range scattering mechanism due to…

Materials Science · Physics 2020-09-30 Vatsal A. Jhalani , Jin-Jian Zhou , Jinsoo Park , Cyrus E. Dreyer , Marco Bernardi

We present density functional theory calculations of the phonon-limited mobility in n-type monolayer graphene, silicene and MoS$_2$. The material properties, including the electron-phonon interaction, are calculated from first-principles.…

Mesoscale and Nanoscale Physics · Physics 2016-01-13 Tue Gunst , Troels Markussen , Kurt Stokbro , Mads Brandbyge

Density functional perturbation theory is used to analyze electron-phonon interaction in bilayer graphene. The results show that phonon scattering in bilayer graphene bears more resemblance with bulk graphite than monolayer graphene. In…

Mesoscale and Nanoscale Physics · Physics 2010-11-29 K. M. Borysenko , J. T. Mullen , X. Li , Y. G. Semenov , J. M. Zavada , M. Buongiorno Nardelli , K. W. Kim

Strong electron-electron interactions are known to significantly modify the electron-phonon coupling relative to the predictions of density functional theory, but this effect is challenging to calculate with realistic theories of strongly…

Strongly Correlated Electrons · Physics 2025-07-21 David J. Abramovitch , Jennifer Coulter , Sophie Beck , Andrew Millis

We study leading-order many-body effects of longitudinal optical (LO) phonons on electronic properties of one-dimensional quantum wire systems. We calculate the quasiparticle properties of a weakly polar one dimensional electron gas in the…

Condensed Matter · Physics 2009-10-28 E. H. Hwang , Ben Yu-Kuang Hu , S. Das Sarma

Evidence for strong electron-phonon coupling in high-Tc cuprates is reviewed, with emphasis on the electron and phonon spectral functions. Effects due to the interplay between the Coulomb and electron-phonon interactions are studied. For…

Strongly Correlated Electrons · Physics 2008-01-17 O. Gunnarsson , O. Rösch

We develop a microscopic theoryof the trion polaron: a bound state of two electrons and one hole, dressed by longitudinal optical (LO) phonons. Starting from the Frohlich Hamiltonian, which describes the interaction of charged particles…

Materials Science · Physics 2025-08-21 V. Shahnazaryan , A. Kudlis , K. Varga , I. A. Shelykh , I. V. Tokatly
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