Transfer of optical spectral weight in magnetically ordered superconductors

Abstract

We show that, in antiferromagnetic superconductors, the optical spectral weight transferred to low frequencies below the superconducting transition temperature originates from energies that can be much larger than twice the superconducting gap $\Delta$. This contrasts to non-magnetic superconductors, where the optical spectrum is suppressed only for frequencies below $2\Delta$. In particular, we demonstrate that the superfluid condensate of the magnetically ordered superconductor is not only due to states of the magnetically reconstructed Fermi surface, but is enhanced by transfer of spectral weight from the mid infrared peak generated by the spin density wave gap. We apply our results to the iron arsenide superconductors, addressing the decrease of the zero-temperature superfluid density in the doping regime where magnetism coexists with unconventional superconductivity.

5 figures, 10 pages; revised version

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• Competing order and nature of the pairing state in the iron pnictides
• Tunable nodal kagome superconductivity in charge ordered RbV3Sb5
• Manifestations of nematic degrees of freedom in the magnetic, elastic, and superconducting properties of the iron pnictides
• Doping evolution of the absolute value of the London penetration depth and superfluid density in single crystals of Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$
• Local measurement of the superfluid density in the pnictide superconductor Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$ across the superconducting dome
• Enhancement of $T_c$ by disorder in underdoped iron pnictides
• Raman scattering study of Spin-Density-Wave order and electron-phonon coupling in Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$
• How many quantum phase transitions exist inside the superconducting dome of the iron pnictides?
• Gap nodes induced by coexistence with antiferromagnetism in iron-based superconductors
• Local characterization of superconductivity in BaFe2(As1-xPx)2
• Infrared study of the spin reorientation transition and its reversal in the superconducting state in underdoped Ba${}_{1-x}$K${}_x$Fe${}_2$As${}_2$
• The magnetic moment enigma in Fe-based high temperature superconductors
• Competition between superconductivity and magnetic/nematic order as a source of anisotropic superconducting gap in underdoped Ba${}_{1-x}$K${}_x$Fe${}_2$As${}_2$
• Quantum phase transition inside the superconducting dome of Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$ probed by optical magneto-sensing using NV-centers in diamond
• Coexistence of superconductivity and antiferromagnetism in Ca${}_{0.74(1)}$La${}_{0.26(1)}$(Fe${}_{1-x}$Co${}_x$)As${}_2$ single crystals
• Theoretical Investigation of Optical Conductivity in Ba [Fe(1-x)Co(x)]2 As2
• Magnetic penetration depth in disordered iron-based superconductors
• Double magnetic resonance and spin anisotropy in Fe-based superconductors due to static and fluctuating antiferromagnetic orders
• Anomalous thermodynamic properties of quantum critical superconductors
• Temperature-induced Change in the Fermi Surface Topology in the Spin Density Wave Phase of Sr(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$
• Magnetic penetration depth in the presence of a spin-density wave in multiband superconductors at zero temperature
• Superfluid density in the $s_{\pm }$-wave state of clean iron-based superconductors
• Magneto-Transport Properties of Single Crystalline LaFeAsO
• Finite temperature effects in quantum systems with competing scalar orders