Dynamical spin susceptibility and the resonance peak in the pseudogap region of the underdoped cuprate superconductors

Abstract

We present a study of the dynamical spin susceptibility in the pseudogap region of the high-T${}_c$ cuprate superconductors. We analyze and compare the formation of the so-called resonance peak, in three different ordered states: the $d_{x^2-y^2}$-wave superconducting (DSC) phase, the $d$-density wave (DDW) state, and a phase with coexisting DDW and DSC order. An analysis of the resonance's frequency and momentum dependence in all three states reveals significant differences between them. In particular, in the DDW state, we find that a nearly dispersionless resonance excitation exists only in a narrow region around $\mathbf{Q}=(\pi ,\pi )$. At the same time, in the coexisting DDW and DSC state, the dispersion of the resonance peak near $\mathbf{Q}$ is significantly changed from that in the pure DSC state. Away from $(\pi ,\pi )$, however, we find that the form and dispersion of the resonance excitation in the coexisting DDW and DSC state and pure DSC state are quite similar. Our results demonstrate that a detailed experimental measurement of the resonance's dispersion allows one to distinguish between the underlying phases - a DDW state, a DSC state, or a coexisting DDW and DSC state - in which the resonance peak emerges.

9 pages, 9 figures

References in corpus (3)

• Resonant magnetic excitations at high energy in superconducting $\mathbf{YB}{\mathbf{a}}_2\mathbf{C}{\mathbf{u}}_3{\mathbf{O}}_{6.85}$
• Magnetic excitations in a bond-centered stripe phase: Spin waves far from the semi-classical limit
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Cited by in corpus (6)

• Theory of magnetic excitons in the heavy-fermion superconductor $UP{d}_{2}A{l}_3$
• Reconstructing the bulk Fermi surface and the superconducting gap properties from Neutron Scattering experiments
• Spin susceptibility in bilayered cuprates: resonant magnetic excitations
• Short-range charge fluctuations in the two-dimensional Hubbard model
• Spin dynamics of possible density wave states in the pseudogap phase of the high temperature superconductors
• Infrared and electronic Raman response of coexisting d-wave density wave and d-wave superconductivity