The effects of adiabatic phonons on a spin-fermion model for high ${T}_{c}$ cuprates are studied using numerical simulations. In the absence of electron-phonon interactions (EPI), stripes in the ground state are observed [C. Buhler, S. Yunoki, and A. Moreo, Phys. Rev. Lett. 84, 2690 (2000); Phys. Rev. B. 62, R3620 (2000)] for certain dopings while homogeneous states are stabilized in other regions of parameter space. Different modes of adiabatic phonons are added to the Hamiltonian: breathing, shear, and half-breathing modes. Diagonal and off-diagonal electron-phonon couplings are considered. It is observed that strong diagonal EPI generate stripes in previously homogeneous states, while in striped ground states an increase in the diagonal couplings tends to stabilize the stripes, inducing a gap in the density of states (DOS) and rendering the ground state insulating. The off-diagonal terms, on the other hand, destabilize the stripes creating inhomogeneous ground states with a pseudogap at the chemical potential in the DOS. The breathing mode stabilizes static diagonal stripes; while the half-breathing (shear) modes stabilize dynamical (localized) vertical and horizontal stripes. The EPI induces decoherence of the quasiparticle peaks in the spectral functions.The effects of adiabatic phonons on a spin-fermion model for high ${T}_{c}$ cuprates are studied using numerical simulations. In the absence of electron-phonon interactions (EPI), stripes in the ground state are observed [C. Buhler, S. Yunoki, and A. Moreo, Phys. Rev. Lett. 84, 2690 (2000); Phys. Rev. B. 62, R3620 (2000)] for certain dopings while homogeneous states are stabilized in other regions of parameter space. Different modes of adiabatic phonons are added to the Hamiltonian: breathing, shear, and half-breathing modes. Diagonal and off-diagonal electron-phonon couplings are considered. It is observed that strong diagonal EPI generate stripes in previously homogeneous states, while in striped ground states an increase in the diagonal couplings tends to stabilize the stripes, inducing a gap in the density of states (DOS) and rendering the ground state insulating. The off-diagonal terms, on the other hand, destabilize the stripes creating inhomogeneous ground states with a pseudogap at the chemical potential in the DOS. The breathing mode stabilizes static diagonal stripes; while the half-breathing (shear) modes stabilize dynamical (localized) vertical and horizontal stripes. The EPI induces decoherence of the quasiparticle peaks in the spectral functions.

arXiv:cond-mat/0503292Physical Review BOct 20, 20053 citations

Physical Properties Within the Slave-Fermion Treatment of the T-J Model

Bruce Normand

Jan 1, 19930 citations

Electron-Phonon Coupling in the t-J Model

Andrei S. Mishchenko

Bulletin of the American Physical SocietyMar 24, 20050 citations

Density Response of Cuprates and Renormalization of Breathing Phonons

Peter Horsch, Giniyat Khaliullin

arXiv:cond-mat/0107323Springer eBooksJan 1, 20010 citations

Inhomogeneous charge textures stabilized by electron-phonon interactions in the t−J model

José A. Riera, Adriana Moreo

We study the effect of diagonal and off-diagonal electron-phonon coupling in the ground state properties of the $t\text{\ensuremath{-}}J$ model. Adiabatic and quantum phonons are considered using Lanczos techniques. Charge tiles and stripe phases with mobile holes (localized holes) are observed at intermediate (large) values of the diagonal electron-phonon coupling. The stripes are stabilized by half-breathing modes, while the tiles arise due to the development of extended breathing modes. Off-diagonal terms destabilize the charge inhomogeneous structures with mobile holes by renormalizing the diagonal coupling but do not produce new phases. Buckling modes are also studied and they seem to induce a gradual phase separation between hole rich and hole poor regions. The pairing correlations are strongly suppressed when the holes are localized. However, in charge inhomogeneous states with mobile holes no dramatic changes, compared with the uniform state, are observed in the pairing correlations indicating that D-wave pairing and moderate electron-phonon interactions can coexist.We study the effect of diagonal and off-diagonal electron-phonon coupling in the ground state properties of the $t\text{\ensuremath{-}}J$ model. Adiabatic and quantum phonons are considered using Lanczos techniques. Charge tiles and stripe phases with mobile holes (localized holes) are observed at intermediate (large) values of the diagonal electron-phonon coupling. The stripes are stabilized by half-breathing modes, while the tiles arise due to the development of extended breathing modes. Off-diagonal terms destabilize the charge inhomogeneous structures with mobile holes by renormalizing the diagonal coupling but do not produce new phases. Buckling modes are also studied and they seem to induce a gradual phase separation between hole rich and hole poor regions. The pairing correlations are strongly suppressed when the holes are localized. However, in charge inhomogeneous states with mobile holes no dramatic changes, compared with the uniform state, are observed in the pairing correlations indicating that D-wave pairing and moderate electron-phonon interactions can coexist.

arXiv:cond-mat/0510042Physical Review BJan 19, 20065 citations

Low energy excitations of the t-J model in one and two dimensions

T. K. Lee, R. Eder, Y. C. Chen +3 more

APSMar 1, 19970 citations

The effects of adiabatic phonons on a spin-fermion model for high

{T}_{c}

cuprates are studied using numerical simulations. In the absence of electron-phonon interactions (EPI), stripes in the ground state are observed [C. Buhler, S. Yunoki, and A. Moreo, Phys. Rev. Lett. 84, 2690 (2000); Phys. Rev. B. 62, R3620 (2000)] for certain dopings while homogeneous states are stabilized in other regions of parameter space. Different modes of adiabatic phonons are added to the Hamiltonian: breathing, shear, and half-breathing modes. Diagonal and off-diagonal electron-phonon couplings are considered. It is observed that strong diagonal EPI generate stripes in previously homogeneous states, while in striped ground states an increase in the diagonal couplings tends to stabilize the stripes, inducing a gap in the density of states (DOS) and rendering the ground state insulating. The off-diagonal terms, on the other hand, destabilize the stripes creating inhomogeneous ground states with a pseudogap at the chemical potential in the DOS. The breathing mode stabilizes static diagonal stripes; while the half-breathing (shear) modes stabilize dynamical (localized) vertical and horizontal stripes. The EPI induces decoherence of the quasiparticle peaks in the spectral functions.