Using functional renormalization group method, we studied the phase diagram of the one-dimensional extended Hubbard model at different dopings. At half filling, variety of states strongly compete with each other. These states include spin-density wave, charge-density wave, s-wave and p -wave superconductivity, phase separation, and an exotic bond-order wave. By doping, system favours superconductivity more than density waves. At 1/8 doping, a new area of extended s-wave superconductivity emerges between charge density wave and bond-order wave regions. If the system is doped to 1/4-doping, a new area of p -wave superconductivity emerges between charge-density wave and spin-density wave regions.Using functional renormalization group method, we studied the phase diagram of the one-dimensional extended Hubbard model at different dopings. At half filling, variety of states strongly compete with each other. These states include spin-density wave, charge-density wave, s-wave and p -wave superconductivity, phase separation, and an exotic bond-order wave. By doping, system favours superconductivity more than density waves. At 1/8 doping, a new area of extended s-wave superconductivity emerges between charge density wave and bond-order wave regions. If the system is doped to 1/4-doping, a new area of p -wave superconductivity emerges between charge-density wave and spin-density wave regions.

Journal of Physics Condensed MatterJan 10, 20196 citations

Dynamical group model of a spin density wave system

A. I. Solomon, Joseph L. Birman

Physics Letters AAug 1, 19848 citations

Collective Modes of a Spin-Density-Wave Structure

G. Fano, G. Pizzichini

The collective modes of a spin-density-wave structure are investigated in a one-dimensional model of a Fermi gas. The equations of motion in the random-phase approximation are completely solved at zero temperature and for a $\ensuremath{\delta}$-function interaction. The spin-density-wave structure has been found to be stable if its wavelength is equal to its best variational value. The complete dependence of the energy $\ensuremath{\omega}(q)$ of the collective modes on the momentum $q$ is exhibited. A new result is found and proved rigorously: The energy $\ensuremath{\omega}(q)$ vanishes when $\frac{2\ensuremath{\pi}}{q}$ is equal to the wavelength of the spin-density wave.The collective modes of a spin-density-wave structure are investigated in a one-dimensional model of a Fermi gas. The equations of motion in the random-phase approximation are completely solved at zero temperature and for a $\ensuremath{\delta}$-function interaction. The spin-density-wave structure has been found to be stable if its wavelength is equal to its best variational value. The complete dependence of the energy $\ensuremath{\omega}(q)$ of the collective modes on the momentum $q$ is exhibited. A new result is found and proved rigorously: The energy $\ensuremath{\omega}(q)$ vanishes when $\frac{2\ensuremath{\pi}}{q}$ is equal to the wavelength of the spin-density wave.

Physical ReviewAug 5, 19674 citations

q

is exhibited. A new result is found and proved rigorously: The energy $\ensuremath{\omega}(q)$ vanishes when $\frac{2\ensuremath{\pi}}{q}$ is equal to the wavelength of the spin-density wave.