Spin dynamics of possible density wave states in the pseudogap phase of the high temperature superconductors

Abstract

In a recent inelastic neutron scattering experiment in the pseudogap state of the high temperature superconductor $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6.6}$ an unusual `vertical' dispersion of the spin excitations with a large in-plane anisotropy was observed. In this paper we discuss in detail the spin susceptibility of the singlet $d$-density wave, the triplet $d$-density wave, as well as the more common spin density wave orders with hopping anisotropies. From numerical calculations within the framework of random phase approximation, we find nearly vertical dispersion relations for spin excitations with anisotropic incommensurability at low energy $\omega \le 90meV$, which are reminiscent of the experiments. At very high energy $\omega \ge 165meV$, we also find energy-dependent incommensurability. Although there are some important difference between the three cases, unpolarized neutron measurements cannot discriminate between these alternate possibilities; the vertical dispersion, however, is a distinct feature of all three density wave states in contrast to the superconducting state, which shows an hour-glass shape dispersion.

8 pages, 9 figures

References in corpus (7)

• Intense paramagnon excitations in a large family of high-temperature superconductors
• Spin dynamics in the pseudogap state of a high-temperature superconductor
• Spin nematic state as a candidate of the hidden order phase of URu${}_2$Si${}_2$
• Magnetic excitations and their anisotropy in YBCO: slave-boson mean-field analysis of bilayer t-J model
• Fermi-surface reconstruction in a smectic phase of a high temperature superconductor
• Time-reversal symmetry breaking by a $(d+id)$ density-wave state in underdoped cuprate superconductors
• Topological density wave states of non-zero angular momentum

Cited by in corpus (1)

• The Hubbard Model