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Related papers: Adiabatic theory of the polaron spectral function

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The one-dimensional optical polaron is treated on the basis of the perturbation theory in the weak coupling limit. A special matrix diagrammatic technique is developed. It is shown how to evaluate all terms of the perturbation theory for…

Condensed Matter · Physics 2009-11-07 P. A. Khomyakov

A model with Holstein-like electron-phonon coupling is studied in the limit of adiabatic phonons. The phonon distribution is anharmonic with two degenerate maxima. This model can be related to fermions in a correlated binary alloy and…

Strongly Correlated Electrons · Physics 2007-05-23 K. Ziegler , D. Schneider

The adiabatic connection formula of ground-state density functional theory relates the correlation energy to a coupling-constant integral over a purely potential contribution, and is widely used to understand and improve approximations. The…

Chemical Physics · Physics 2016-06-01 Aurora Pribram-Jones , Kieron Burke

A new variational approach is proposed at zero temperature for a finite density of charge carriers in order to study ground state features of the Frohlich model including electron-electron and electron-phonon interactions. Within the…

Strongly Correlated Electrons · Physics 2021-06-30 C. A. Perroni , G. De Filippis , V. Cataudella

We describe the formation and properties of Holstein polarons in the entire parameter regime. Our presentation focuses on the polaron mass and radius, which we obtain with an improved numerical technique. It is based on the combination of…

Strongly Correlated Electrons · Physics 2010-04-27 Andreas Alvermann , Holger Fehske , Stuart A. Trugman

It is shown that in many cases an adequate description of optical spectra of semiconductor quantum dots requires a treatment beyond the commonly used adiabatic approximation. We have developed a theory of phonon-assisted optical transitions…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. T. Devreese , V. M. Fomin , E. P. Pokatilov , V. N. Gladilin , S. N. Klimin

Cluster perturbation theory in combination with the Lanczos method is used to compute the one-electron spectral function of the Holstein polaron in one and two dimensions. It is shown that the method allows reliable calculations using…

Strongly Correlated Electrons · Physics 2007-06-13 Martin Hohenadler , Markus Aichhorn , Wolfgang von der Linden

We establish adiabatic theorems with and without spectral gap condition for general operators $A(t): D(A(t)) \subset X \to X$ with possibly time-dependent domains in a Banach space $X$. We first prove adiabatic theorems with uniform and…

Mathematical Physics · Physics 2014-01-03 Jochen Schmid

We apply weak-coupling perturbation theory to the Holstein molecular crystal model in order to compute an electron-phonon correlation function characterizing the shape and size of the polaron lattice distortion in one, two, and three…

Strongly Correlated Electrons · Physics 2009-10-31 Aldo H. Romero , David W. Brown , Katja Lindenberg

On the basis of the two-site polaron problem, which we solve by exact diagonalization, we analyse the spectral properties of polaronic systems in view of discerning localized from itinerant polarons and bound polaron pairs from an ensemble…

Strongly Correlated Electrons · Physics 2009-10-30 E. V. L. de Mello , J. Ranninger

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

We consider a polaron model where molecular \emph{rotations} are important. Here, the usual hopping between neighboring sites is affected directly by the electron-phonon interaction via a {\em twist-dependent} hopping amplitude. This model…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Wei Zhang , Alexander O. Govorov , Sergio E. Ulloa

We study the small-polaron problem of a single electron interacting with the lattice for the Holstein model in the adiabatic limit on a comb lattice, when the electron-phonon interaction acts only on the base sites. The ground state…

Strongly Correlated Electrons · Physics 2007-08-07 Ilaria Meccoli , Massimo Capone

Physical foundations of adiabatic and nonadiabatic electronics of materials are considered in this article. It is shown the limitation of adiabatic approach to electronics of materials. It is shown that nonadiabatic physical properties of…

Materials Science · Physics 2007-05-23 V. A. Vdovenkov

We explore the character of a novel set of ``field-linked'' states that were predicted in [A. V. Avdeenkov and J. L. Bohn, Phys. Rev. Lett. 90, 043006 (2003)]. These states exist at ultralow temperatures in the presence of an electrostatic…

Atomic Physics · Physics 2009-11-10 A. V. Avdeenkov , D. C. E. Bortolotti , J. L. Bohn

In density functional theory (DFT), the exchange-correlation functional can be exactly expressed by the adiabatic connection integral. It has been noticed that as lambda goes to infinity, the lambda^(-1) term in the expansion of W(lambda)…

Other Condensed Matter · Physics 2015-05-13 Zhenfei Liu , Kieron Burke

If the photon energy is much less than the electron binding energy, ionization of an atom by a strong optical field is often described in terms of electron tunneling through the potential barrier resulting from the superposition of the…

Atomic Physics · Physics 2013-04-23 Antonia Karamatskou , Stefan Pabst , Robin Santra

Nonadiabatic corrections in molecules composed of a few atoms are considered. It is demonstrated that a systematic perturbative expansion around the adiabatic solution is possible, with the expansion parameter being the electron-nucleus…

Chemical Physics · Physics 2009-11-13 Krzysztof Pachucki , Jacek Komasa

In the adiabatic approximation, most of the effects of quark-antiquark loops on spectroscopy can be absorbed into a static interquark potential. I develop a formalism which can be used to treat the residual nonadiabatic effects associated…

Nuclear Theory · Physics 2014-11-18 Nathan Isgur

The vibronic mixing by an odd-parity vibrational mode of two opposite-parity nearly-degenerate electronic states at a molecular site may drive the small polaron off-center. An associated electric dipole may occur due to broken inversion…

Superconductivity · Physics 2007-05-23 M. Georgiev , M. Borissov