Phonon renormalization from local and transitive electron-lattice couplings in strongly correlated systems

Abstract

Within the time-dependent Gutzwiller approximation (TDGA) applied to Holstein- and SSH-Hubbard models we study the influence of electron correlations on the phonon self-energy. For the local Holstein coupling we find that the phonon frequency renormalization gets weakened upon increasing the onsite interaction $U$ for all momenta. In contrast, correlations can enhance the phonon frequency shift for small wave-vectors in the SSH-Hubbard model. Moreover the TDGA applied to the latter model provides a mechanism which leads to phonon frequency corrections at intermediate momenta due to the coupling with double occupancy fluctuations. Both models display a shift of the nesting-induced to a $q=0$ instability when the onsite interaction becomes sufficiently strong and thus establishing phase separation as a generic phenomenon of strongly correlated electron-phonon coupled systems.

14 pages, 11 figures

References in corpus (10)

• First- and Second Order Phase Transitions in the Holstein-Hubbard Model
• Bond stretching phonon softening and angle-resolved photoemission kinks in optimally doped Bi2Sr1.6La0.4Cu2O6 superconductors
• Phase diagram for Coulomb-frustrated phase separation in systems with negative short-range compressibility
• Electron-phonon interaction in the three-band model
• Theory of antibound states in partially filled narrow band systems
• Renormalization of the electron-phonon coupling in the one-band Hubbard model
• Charge instabilities and electron-phonon interaction in the Hubbard-Holstein model
• q-Dependence of the giant bond-stretching phonon anomaly in the stripe compound La1.48Nd0.4Sr0.12CuO4 measured by IXS
• Screening effects in Coulomb frustrated phase separation
• Time-dependent Gutzwiller theory of pairing fluctuations in the Hubbard model

Cited by in corpus (10)

• Isotope effect and bond-stretching phonon anomaly in high-Tc cuprates
• Phonon anomalies and dynamic stripes
• Polaron transformations in the realistic model of the strongly correlated electron system
• Quantized Lattice Dynamic Effects on the Peierls transition of the Extended Hubbard Model
• Low-energy phonons in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ and their possible interaction with electrons measured by inelastic neutron scattering
• Gutzwiller Charge Phase Diagram of Cuprates, including Electron-Phonon Coupling Effects
• Influence of correlations on transitive electron-phonon couplings in cuprate superconductors
• Competing Correlated Insulators in multi-orbital systems coupled to phonons
• Phase separation and pairing fluctuations in oxide materials
• Downfolding the Su-Schrieffer-Heeger model