Incommensurate Charge and Spin Fluctuations in d-wave Superconductors

Details Incommensurate Charge and Spin Fluctuations in d-wave Superconductors Incommensurate Charge and Spin Fluctuations in d-wave Superconductors

1998-06-14

arxiv.org/abs/cond-mat/9806170v2

Physics

Condensed Matter

Superconductivity

5 pages, 3 figures

Scientific paper

10.1103/PhysRevB.59.4470

We show analytic results for the irreducible charge and spin susceptibilities, $\chi_0 (\omega, {\bf Q})$, where ${\bf Q}$ is the momentum transfer between the nodes in d-wave superconductors. Using the BCS theory and a circular Fermi surface, we find that the singular behavior of the irreducible charge susceptibility leads to the dynamic incommensurate charge collective modes. The peaks in the charge structure factor occur at a set of wave vectors which form an ellipse around ${\bf Q}_{\pi}=(\pi,\pi)$ and ${\bf Q}_0=(0,0)$ in momentum space with momentum dependent spectral weight. It is also found that, due to the non-singular irreducible spin susceptibility, an extremely strong interaction via random phase approximation is required to support the magnetic peaks near ${\bf Q}_{\pi}$. Under certain conditions, the peaks in the magnetic structure factor occur near ${\bf Q}=(\pi,\pi (1 \pm \delta))$ and $(\pi (1 \pm \delta),\pi)$.

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