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We study the electron-phonon interaction in the strongly correlated superconducting cuprates. Two types of the electron-phonon interactions are introduced in the $t-J$ model; the diagonal and off-diagonal interactions which modify the…

Strongly Correlated Electrons · Physics 2009-11-10 Sumio Ishihara , Naoto Nagaosa

Advances in light sources and time resolved spectroscopy have made it possible to excite specific atomic vibrations in solids and to observe the resulting changes in electronic properties but the mechanism by which phonon excitation causes…

Superconductivity · Physics 2017-05-05 Dante M. Kennes , Eli Y. Wilner , David R. Reichman , Andrew J. Millis

The nonequilibrium dynamics of a quantum dot with electron-phonon interactions described by a generalized Holstein model is presented. A combination of methodologies including the reduced density matrix formalism, the multilayer…

Strongly Correlated Electrons · Physics 2015-06-18 Eli Y. Wilner , Haobin Wang , Michael Thoss , Eran Rabani

The fine structure of the Dirac energy spectrum in graphene induced by electron-optical phonon coupling is investigated in the portion of the spectrum near the phonon emission threshold. The derived new dispersion equation in the immediate…

Mesoscale and Nanoscale Physics · Physics 2013-07-29 S. M. Badalyan , F. M. Peeters

A microscopic theory of optical transitions in quantum dots with carrier-phonon interaction is developed. Virtual transitions into higher confined states with acoustic phonon assistance add a quadratic phonon coupling to the standard linear…

Condensed Matter · Physics 2009-11-10 E. A. Muljarov , R. Zimmermann

We consider the self-energy and quasiparticle spectrum, for both electrons interacting with phonons, and composite fermions interacting with gauge fluctuations. In both cases we incorporate the singular structure arising from Landau level…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 S. Curnoe , P. C. E. Stamp

We present an algorithm that extends existing quantum algorithms for simulating fermion systems in quantum chemistry and condensed matter physics to include bosons in general and phonons in particular. We introduce a qubit representation…

Quantum Physics · Physics 2020-10-30 Alexandru Macridin , Panagiotis Spentzouris , James Amundson , Roni Harnik

The theory of Raman scattering by the electron--phonon coupled system in metals and heavily doped semiconductors is developed taking into account the Coulomb screening and the electron--phonon deformation interaction. The Boltzmann equation…

Materials Science · Physics 2009-11-10 L. Falkovsky

For electron-phonon Hamiltonians with the couplings linear in the phonon operators we construct a class of unitary transformations that separate the normal modes into two groups. The modes in the first group interact with the electronic…

Materials Science · Physics 2015-05-13 Andrey Pereverzev , Eric R. Bittner

We consider models of heavy fermions in the strong coupling or local moment limit and include phonon degrees of freedom on the conduction electrons. Due to the large mass or low coherence temperature of the heavy fermion state, it is shown…

Strongly Correlated Electrons · Physics 2010-03-02 M. Raczkowski , P. Zhang , F. F. Assaad , T. Pruschke , M. Jarrell

We relate the phase separation observed in many crystals with pronounced electron correlations to the regions of negative electron compressibility. They were found in several models describing strong electron correlations. At low…

Strongly Correlated Electrons · Physics 2022-10-25 Alexei Sherman

We investigate full quantum mechanical evolution of two electrons nonlinearly coupled to quantum phonons and simulate the dynamical response of the system subject to a short spatially uniform optical pulse that couples to dipole-active…

Statistical Mechanics · Physics 2025-03-06 K. Kovač , D. Golež , M. Mierzejewski , J. Bonča

The electronic self-energy is studied for a two dimensional electron gas coupled to a spin-orbit Rashba field and interacting with dispersionless phonons. For the case of a momentum independent electron-phonon coupling (Holstein model) we…

Strongly Correlated Electrons · Physics 2009-11-13 E. Cappelluti , C. Grimaldi , F. Marsiglio

We present numerical results for electron spin relaxation rates for single and laterally coupled double GaAs quantum dots in a perpendicular magnetic field. As source of spin relaxation we consider hyperfine interaction with the nuclear…

Mesoscale and Nanoscale Physics · Physics 2007-12-17 Johannes Voss , Daniela Pfannkuche

We analyze theoretically the effects of electron-phonon interaction in the dynamics of an electron that can be trapped to a localized state and detrapped to an extended band state of a small quantum dot (QD) using a simple model system. In…

Mesoscale and Nanoscale Physics · Physics 2021-12-03 R. Carmina Monreal

We present the renormalized perturbation series for the energy spectrum of the parabolic quantum dot with 2 -- 5 electrons considering ground and the lowest excited states. The proper classification of asymptotic energy levels is performed…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 E. Anisimovas , A. Matulis

We theoretically study the relaxation of electron orbital states of a double quantum dot system due to two-phonon processes. In particular, we calculate how the relaxation rates depend on the separation distance between the quantum dots,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 V. N. Stavrou , Xuedong Hu

The phonon-bottleneck problem in the relaxation of two-level systems (spins) via direct phonon processes is considered numerically in the weak-excitation limit where the Schroedinger equation for the spin-phonon system simplifies. The…

Statistical Mechanics · Physics 2008-05-06 D. A. Garanin

In recent charge-pump experiments, single electrons are injected into quantum Hall edge channels at energies significantly above the Fermi level. We consider here the relaxation of these hot edge-channel electrons through…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 C. Emary , A. Dyson , Sungguen Ryu , H. -S. Sim , M. Kataoka

Using a fermionic renormalization group approach we analyse a model where the electrons diffusing on a quantum dot interact via Fermi-liquid interactions. Describing the single-particle states by Random Matrix Theory, we find that…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Ganpathy Murthy , Harsh Mathur
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