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Electron–phonon interaction effect on optical absorption in cylindrical quantum wires

Youbin Yu, Shining N. Zhu, Kangxian Guo

Solid State CommunicationsJun 11, 2006102 citations

Phonons in an optical lattice

Tun Wang, Susanne F. Yelin

Bulletin of the American Physical SocietyMay 17, 20060 citations

Integrable chain of electrons coupled with squeezed phonons

Valery A. Ivanov, M. Ye. Zhuravlev, Yoshimasa Murayama +1 more

The exact wave function for a one-dimensional chain of electrons coupled with squeezed phonons is obtained. The ground state energy and the gap in the electron spectrum are calculated. It is shown that there exists an optimal phonon number n ph ≠0 for the ground state of the system. The results are generalized for a system of correlated electrons.

Journal of Experimental and Theoretical Physics LettersAug 1, 19964 citations

Self-induced transparency of the optical phonons

Aikaterini Mandilara, Zoran M. Ivić, Dalibor Čevizović +1 more

Chaos Solitons & FractalsOct 16, 20173 citations

Finite-size effects and quantum phonon fluctuations in the optical absorption edgeof dimerized chains

Ioan Bâldea, Horst Köppel, Lorenz S. Cederbaum

We study effects of quantum phonons on the optical conductivity \ensuremath{\sigma}(\ensuremath{\omega}) for finite dimerized chains by using two numerical methods: exact numerical diagonalization and by factorizing the electron-phonon wave function (AA, adiabatic ansatz). For small chains, we compare the results of these methods and find a criterion for a valid AA. AA turns out to be: (a) a substantial improvement with respect to the adiabatic approximation usually employed in condensed-matter physics, and (b) much less affected by computer storage limitations than exact diagonalization. We use AA and get \ensuremath{\sigma}(\ensuremath{\omega}) reliably for sufficiently large chains, which could be realized experimentally. The optical gap as well as the \ensuremath{\sigma}(\ensuremath{\omega}) curve near the absorption edge possess a surprisingly strong dependence on the chain size; this could be relevant for experiments on mesoscopic systems.We study effects of quantum phonons on the optical conductivity \ensuremath{\sigma}(\ensuremath{\omega}) for finite dimerized chains by using two numerical methods: exact numerical diagonalization and by factorizing the electron-phonon wave function (AA, adiabatic ansatz). For small chains, we compare the results of these methods and find a criterion for a valid AA. AA turns out to be: (a) a substantial improvement with respect to the adiabatic approximation usually employed in condensed-matter physics, and (b) much less affected by computer storage limitations than exact diagonalization. We use AA and get \ensuremath{\sigma}(\ensuremath{\omega}) reliably for sufficiently large chains, which could be realized experimentally. The optical gap as well as the \ensuremath{\sigma}(\ensuremath{\omega}) curve near the absorption edge possess a surprisingly strong dependence on the chain size; this could be relevant for experiments on mesoscopic systems.

Physical review. B, Condensed matterJan 15, 199716 citations

Strong interaction of correlated electrons with phonons: A diagrammatic approach

V. A. Moskalenko, P. Entel, D. F. Digor

We investigate the interaction of strongly correlated electrons with phonons in the frame of the Hubbard-Holstein model. The electron-phonon interaction is considered to be strong and is an important parameter of the model besides the Coulomb repulsion of electrons and band filling. This interaction with the nondispersive optical phonons has been transformed to the problem of mobile polarons by using the canonical transformation of Lang and Firsov. A new diagram technique is used in order to handle the strong Coulomb repulsion of the electrons, which leads to a closed set of integral equations for the irreducible on-site many-particle Green's functions. The coupling to the phonons leads to an essential renormalization of the one- and two-particle irreducible Green's functions. It also influences the parameters which control the metal-insulator or superconducting phase transition. In addition we find a collective mode of phonon clouds which surround the polarons. The physics of the emission and absorption of this mode by the polarons has been investigated.We investigate the interaction of strongly correlated electrons with phonons in the frame of the Hubbard-Holstein model. The electron-phonon interaction is considered to be strong and is an important parameter of the model besides the Coulomb repulsion of electrons and band filling. This interaction with the nondispersive optical phonons has been transformed to the problem of mobile polarons by using the canonical transformation of Lang and Firsov. A new diagram technique is used in order to handle the strong Coulomb repulsion of the electrons, which leads to a closed set of integral equations for the irreducible on-site many-particle Green's functions. The coupling to the phonons leads to an essential renormalization of the one- and two-particle irreducible Green's functions. It also influences the parameters which control the metal-insulator or superconducting phase transition. In addition we find a collective mode of phonon clouds which surround the polarons. The physics of the emission and absorption of this mode by the polarons has been investigated.

Physical review. B, Condensed matterJan 1, 199945 citations

Optical absorption for the integrable chain of electrons coupled with phonons

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