Effective action and collective modes in quasi-one-dimensional spin-density-wave systems

Abstract

We derive the effective action describing the long-wavelength low-energy collective modes of quasi-one-dimensional spin-density-wave (SDW) systems, starting from the Hubbard model within weak coupling approximation. The effective action for the spin-wave mode corresponds to an anisotropic non-linear sigma model together with a Berry phase term. We compute the spin stiffness and the spin-wave velocity. We also obtain the effective action for the sliding mode (phason) taking into account the density fluctuations from the outset and in presence of a weak external electromagnetic field. This leads to coupled equations for the phase of the SDW condensate and the charge density fluctuations. We also calculate the conductivity and the density-density correlation function.

16 pages, Resubmitted to Physical Review B with minor suggested changes

References in corpus (1)

• Impurity scattering and frequency dependent conductivity in spin density waves

Cited by in corpus (5)

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• Phase slips, dislocations, half-integer vortices, two-fluid hydrodynamics and the chiral anomaly in charge and spin density waves
• Frequency dependence of temporal spin stiffness and short-range magnetic order in the doped two-dimensional Hubbard model