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Starting from the Flohlich electron-phonon model, which has a history of 50 years, a new unitary transformation is proposed to implement the perturbation treatment. Our main results are: (1)The phonon-induced interaction shows a crossover…

Strongly Correlated Electrons · Physics 2007-05-23 H. Zheng

To gain control over magnetic order on ultrafast time scales, a fundamental understanding of the way electron spins interact with the surrounding crystal lattice is required. However, measurement and analysis even of basic collective…

We first propose fundamental solutions of wave propagation in one-dimensional dispersive chain subject to a localized initial perturbation in the displacement. Analytical solutions are obtained for both second order nonlinear dispersive…

Statistical Mechanics · Physics 2018-08-31 Zhijie Xu

We present a robust reciprocal-space implementation of the temperature-dependent effective potential method. Our implementation can scale easily to large cell and long sampling time. It is interoperable with standard ab-initio molecular…

Dispersion of acoustic plasmons and isotropic Landau parameters are calculated in three- and two-dimensional two-component electron-electron and electron-hole liquids at various concentration and mass ratios using Landau-Silin kinetic…

Mesoscale and Nanoscale Physics · Physics 2022-12-05 A. N. Afanasiev

Tailoring the properties of correlated oxides is accomplished by chemical doping, pressure, temperature or magnetic field. Photoexcitation is a valid alternative to reach out-of-equilibrium states otherwise inaccessible. Here, we…

Squeezing of phonons due to the non-linear coupling to electrons is a way to enhance superconductivity as theoretically studied in a recent work [Kennes et al. Nature Physics 13, 479 (2017)]. We study quadratic electron-phonon interaction…

Superconductivity · Physics 2021-12-15 Andrey Grankin , Mohammad Hafezi , Victor M. Galitski

A general method to find an effective potential of interaction between far separated 2D and 3D solitons is elaborated, including the case of 2D vortex solitons. The method is based on explicit calculation of the overlapping term in the full…

patt-sol · Physics 2009-10-31 Boris A. Malomed

Nonlinear frequency conversion by optical rectification, as well as difference- and sum-frequency generation are fundamental processes for producing electromagnetic radiation at different frequencies. Here, we demonstrate that coherently…

We use both a perturbative Green's function analysis and standard perturbative quantum mechanics to calculate the decrease in energy and the effective mass for an electron interacting with acoustic phonons. The interaction is between the…

Strongly Correlated Electrons · Physics 2011-02-11 Zhou Li , Carl J. Chandler , F. Marsiglio

A simple and accurate method of calculating phonon spectra in mixed semiconductors alloys, on the basis of preliminarily (from first principles) relaxed atomic structure, is proposed and tested for (Zn,Be)Se and (Ga,In)As solid solutions.…

Materials Science · Physics 2008-01-08 Ayoub Nassour , Joseph Hugel , A. V. Postnikov

For one-dimensional systems with delta-contact interactions, the convergence of the exact-diagonalization method is tested with a basis of harmonic oscillator eigenfunctions with frequency $\Omega$ optimized through the minimization of the…

Quantum Gases · Physics 2020-01-09 Przemysław Kościk

Phonons are fundamentally important for many materials properties, including thermal and electronic transport, superconductivity, and structural stability. Here, we describe a method to compute phonons in correlated materials using…

Materials Science · Physics 2020-12-03 Can P. Koçer , Kristjan Haule , G. Lucian Pascut , Bartomeu Monserrat

I study the lattice dynamics and electron-phonon coupling in non-centrosymmetric quasi-one-dimensional K$_2$Cr$_3$As$_3$ using density functional theory based first principles calculations. The phonon dispersions show stable phonons without…

Superconductivity · Physics 2016-04-13 Alaska Subedi

Localized excitons play a vital role in the optical response of monolayers of transition metal dichalcogenides and can be exploited as single photon sources for quantum information technology. While the optical properties of such localized…

Mesoscale and Nanoscale Physics · Physics 2020-11-04 F. Lengers , T. Kuhn , D. E. Reiter

The relaxation of electrons in quantum dots via phonon emission is hindered by the discrete nature of the dot levels (phonon bottleneck). In order to clarify the issue theoretically we consider a system of $N$ discrete fermionic states (dot…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 T. Stauber , R. Zimmermann , H. Castella

Low dissipation, tunable coupling to other quantum systems, and unique features of phonons in the aspects of propagation, detection and others suggest the applications of quantized mechanical resonators in phonon-based quantum information…

Quantum Physics · Physics 2019-11-13 Shan-Shan Chen , Hao Zhang , Qing Ai , Guo-Jian Yang

To date, micro- and nano-scale optomechanical systems have enabled many proof-of-principle quantum operations through access to high-frequency (GHz) phonon modes that are readily cooled to their thermal ground state. However, minuscule…

This article presents a systematic theoretical enquiry concerning the conceptual foundations and the nature of phonon-mediated electron-electron interactions. Starting from the fundamental many-body Hamiltonian, we propose a simple scheme…

Materials Science · Physics 2020-09-08 R. Starke , G. A. H. Schober

A major achievement of the past decade has been the realization of macroscopic quantum systems by exploiting interactions between optical cavities and mechanical resonators. In these systems, phonons are coherently annihilated or created in…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 R. De Alba , F. Massel , I. R. Storch , T. S. Abhilash , A. Hui , P. L. McEuen , H. G. Craighead , J. M. Parpia
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