Spin nematic fluctuations near a spin-density-wave phase

Abstract

We study an interacting electronic system exhibiting a spin nematic instability. Using a phenomenological form for the spin fluctuation spectrum near the spin-density-wave (SDW) phase, we compute the spin nematic susceptibility in energy and momentum space as a function of temperature and the magnetic correlation length xi. The spin nematic instability occurs when xi reaches a critical value xi_{cr}, i.e., its transition temperature T_{SN} is always higher than the SDW critical temperature T_{SDW}. In particular, xi_{cr} decreases monotonically with increasing T_{SN}. Concomitantly, low-energy nematic fluctuations are present in a wider temperature region as T_{SN} becomes higher. Approaching the spin nematic instability, the nematic spectral function at zero momentum exhibits a central peak as a function of energy for a finite temperature and a soft mode at zero temperature. These properties originate from the general feature that the imaginary part of the spin-fluctuation bubble has a term linear in energy and its coefficient is proportional to the square of temperature. Furthermore we find that the nematic spectral function exhibits a diffusive peak around zero momentum and zero energy without clear dispersive features. A possible phase diagram for the spin nematic and SDW transitions is also discussed.

18 pages, 9 figures

References in corpus (21)

• Unconventional pairing originating from disconnected Fermi surfaces in superconducting LaFeAsO${}_{1-x}$F${}_x$}
• Evidence for an electron nematic phase transition in underdoped iron pnictide superconductors
• Structural and magnetic phase diagram of CeFeAsO1-xFx and its relationship to high-temperature superconductivity
• Theory of Electron Nematic Order in LaOFeAs
• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• The Structural Phase Transition in FeSe (Fe1+dSe)
• Nematic and meta-nematic transitions in the iron pnictides
• Spin-orbital frustrations and anomalous metallic state in iron-pnictide superconductors
• Coexistence of the spin-density-wave and superconductivity in the (Ba,K)Fe2As2
• Unprecedented anisotropic metallic state in BaFe2As2 revealed by optical spectroscopy
• Instability toward Formation of Quasi-One-Dimensional Fermi Surface in Two-Dimensional t-J Model
• Possible Quasi-One-Dimensional Fermi Surface in La_{2-x}Sr_{x}CuO_4
• Manifestations of nematic degrees of freedom in the magnetic, elastic, and superconducting properties of the iron pnictides
• Doping evoluton of antiferromagnetic order and structural distortion in LaFeAsO${}_{1-x}$F${}_x$
• Magnetoelastic Coupling in the Phase Diagram of Ba1-xKxFe2As2
• Unconventional metamagnetic electron states in orbital band systems
• Experimental observables near a nematic quantum critical point in the pnictide and cuprate superconductors
• Orbital fluctuation mechanism for superconductivity in iron-based compounds
• Cooperative effects of Coulomb and electron-phonon interactions in the two-dimensional 16-band d-p model for iron-based superconductors
• Theory of reduced singlet pairing without the underlying state of charge stripes in the high-temperature superconductor YBa_2Cu_3O_6.45
• A High-Tc Mechanism of Iron Pnictide Superconductivity due to Cooperation of Ferro-orbital and Antiferromagnetic Fluctuations

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• Itinerant scenario for Fe-pnictides: comparison with quantum Monte Carlo
• Semimetallic spin-density wave state in iron pnictides
• Orbital order from the on-site orbital attraction
• Theories for charge-driven nematicity in kagome metals
• Emergent Ising degrees of freedom above double-stripe magnetism