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We develop a theory for the renormalization of the phonon energy dispersion in graphene due to the combined effects of both Coulomb and electron-phonon (e-ph) interactions. We obtain the renormalized phonon energy spectrum by an exact…

材料科学 · 物理学 2009-11-13 Wang-Kong Tse , Ben Yu-Kuang Hu , S. Das Sarma

The interaction of electron-hole pairs with lattice vibrations exhibits a wealth of intriguing physical phenomena. The Kohn anomaly is a renowned example where electron-phonon coupling leads to non-analytic phonon dispersion at specific…

介观与纳米尺度物理 · 物理学 2009-11-13 Jun Yan , Erik A. Henriksen , Philip Kim , Aron Pinczuk

Within unitary transformed Hamiltonian of Fr\"ohlich type, using the Green's functions method, exact renormalized energy spectrum of quasiparticle strongly interacting with two-mode polarization phonons is obtained at $T=0$ K in a model of…

软凝聚态物质 · 物理学 2023-03-09 M. V. Tkach , Ju. O. Seti , O. M. Voitsekhivska , V. V. Hutiv

We examine the interplay between electron correlations and phonons in an Anderson-Holstein impurity model with an Einstein phonon. When the phonons are slow compared to charge fluctuations (frequency $\omega_0 \ll U/2$, the onsite Coulomb…

强关联电子 · 物理学 2025-07-08 Liam L. H. Lau , Andreas Gleis , Daniel Kaplan , Premala Chandra , Piers Coleman

We analyze renormalization of the pi band of n-doped epitaxial graphene on Ir(111) induced by electron-phonon coupling. Our procedure of extracting the bare band relies on recursive self-consistent refining of the functional form of the…

强关联电子 · 物理学 2014-07-25 Ivo Pletikosić , Marko Kralj , Milorad Milun , Petar Pervan

We study how phonon structure manifests itself in the electronic density of states of graphene. A procedure for extracting the value of the electron-phonon renormalization $\lambda$ is developed. In addition, we identify direct phonon…

介观与纳米尺度物理 · 物理学 2015-05-13 E. J. Nicol , J. P. Carbotte

Cyclotron resonance in bilayer graphene is studied with weak electron-hole asymmetry, suggested by experiment, taken into account and with the focus on many-body corrections that evade Kohn's theorem. It is shown by direct calculation that…

介观与纳米尺度物理 · 物理学 2015-05-27 K. Shizuya

The dispersion of electrons and phonons near the K point of bilayer graphene was investigated in a resonant Raman study using different laser excitation energies in the near infrared and visible range. The electronic structure was analyzed…

介观与纳米尺度物理 · 物理学 2011-04-08 D. L. Mafra , L. M. Malard , S. K. Doorn , H. Htoon , J. Nilsson , A. H. Castro Neto , M. A. Pimenta

We investigate the influence of the electron-phonon coupling in the one-dimensional spinless Holstein model at half-filling using both a recently developed projector-based renormalization method (PRM) and an refined exact diagonalization…

强关联电子 · 物理学 2009-11-10 S. Sykora , A. Huebsch , K. W. Becker , G. Wellein , H. Fehske

In neutral graphene, two prominent cusps known as Kohn anomalies are found in the phonon dispersion of the highest optical phonon at $q=\Gamma$ (LO branch) and $q=K$ (TO branch), reflecting a significant electron-phonon coupling to undoped…

介观与纳米尺度物理 · 物理学 2015-08-18 Antonio Politano , Fernando de Juan , Gennaro Chiarello , Herbert A. Fertig

We study the one-dimensional Holstein model of spinless fermions interacting with dispersion-less phonons by using a recently developed projector-based renormalization method (PRM). At half-filling the system shows a metal-insulator…

强关联电子 · 物理学 2007-05-23 S. Sykora , A. Huebsch , K. W. Becker

We employ quasiparticle path integral molecular dynamics to study how the excitonic properties of model semiconductors are altered by electron-phonon coupling. We describe ways within a path integral representation of the system to evaluate…

材料科学 · 物理学 2022-09-28 Yoonjae Park , David T. Limmer

Phonon dispersions generically display non-analytic points, known as Kohn anomalies, due to electron-phonon interactions. We analyze this phenomenon for a zone boundary phonon in undoped graphene. When electron-electron interactions with…

强关联电子 · 物理学 2012-03-22 Fernando de Juan , Herbert A. Fertig

We investigate the spinless Anderson-Holstein model routinely employed to describe the basic physics of phonon-assisted tunneling in molecular devices. Our focus is on small to intermediate electron-phonon coupling; we complement a recent…

强关联电子 · 物理学 2017-11-30 A. Khedri , T. A. Costi , V. Meden

We consider a chain of atoms that are bound together by a harmonic force. Spin-1/2 electrons that move between neighboring chain sites (H\"uckel model) induce a lattice dimerization at half band filling (Peierls effect). We supplement the…

强关联电子 · 物理学 2017-03-08 Máté Timár , Gergely Barcza , Florian Gebhard , Örs Legeza

Partial summing of infinite range of diagrams for the two-phonon mass operator of polaron described by Fr\"{o}hlich Hamiltonian is performed using the Feynman-Pines diagram technique. Renormalized spectral parameters of ground and first…

介观与纳米尺度物理 · 物理学 2015-10-26 M. V. Tkach , Ju. O. Seti , O. M. Voitsekhivska , O. Yu. Pytiuk

It is shown that the nearest neighbor coupling between the carbon atoms is not enough to reproduce the phonon spectrum as observed in graphene, the second neighbor force constant is essential. For completeness we have rederived the phonon…

材料科学 · 物理学 2007-10-25 Rupali Kundu

The theory of renormalized energy spectrum of localized quasi-particle interacting with polarization phonons at finite temperature is developed within the Feynman-Pines diagram technique. The created computer program effectively takes into…

强关联电子 · 物理学 2017-12-15 M. V. Tkach , O. Yu. Pytiuk , O. M. Voitsekhivska , Ju. O. Seti

Theory of the spectrum of localized two-level quasi-particle renormalized due to interaction with polarization phonons at cryogenic temperature is developed using the generalized method of Feynman-Pines diagram technique. Using the…

强关联电子 · 物理学 2018-12-21 M. V. Tkach , O. Yu. Pytiuk , O. M. Voitsekhivska , Ju. O. Seti

We present a theory of electronic excitation energies and optical absorption spectra which incorporates energy-level renormalization and phonon-assisted optical absorption within a unified framework. Using time-independent perturbation…

材料科学 · 物理学 2016-07-28 Christopher E. Patrick , Feliciano Giustino
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