Linear Response Theory for Shear Modulus C66C_{66} and Raman Quadrupole Susceptibility: Significant Evidence for Orbital Nematic Fluctuations in Fe-Based Superconductors

preprint2014arXivOpen access

Abstract

The emergence of the nematic order and fluctuations has been discussed as a central issue in Fe-based superconductors. To clarify the origin of the nematicity, we focus on the shear modulus C66C_{66} and the Raman quadrupole susceptibility χx2−y2Ramanχ_{x^2-y^2}^{Raman}. Due to the Aslamazov-Larkin vertex correction, the nematic-type orbital fluctuations are induced, and they enhances both 1/C661/C_{66} and χx2−y2Ramanχ_{x^2-y^2}^{Raman} strongly. However, χx2−y2Ramanχ_{x^2-y^2}^{Raman} remains finite even at the structure transition temperature TST_S, because of the absence of the band Jahn-Teller effect and the Pauli (=intra-band) contribution, as proved in terms of the linear response theory. The present study clarifies that origin of the nematicity in Fe-based superconductors is the nematic-orbital order/fluctuations.

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