Competition between superconductivity and nematic order : anisotropy of superconducting coherence length

Abstract

We study the interplay between nematic order and superconductivity, motivated by a recent experiment on FeSe observing strongly distorted vortex shapes (Song et al., Science 332, 1410 (2011)). We show that the nematic order strongly enhances the anisotropy in the superconducting coherence length, beyond that expected from considerations of the Ginzburg-Landau theory. We obtain universal functions describing the coupling between the nematic order and superconductivity, and discuss connections of our results to the experiments.

Published Version

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• Critical Quadrupole Fluctuations and Collective Modes in Iron Pnictide Superconductors
• Evidence of nematic order and nodal superconducting gap along [110] direction in RbFe2As2
• How many quantum phase transitions exist inside the superconducting dome of the iron pnictides?
• Evidence for Orbital Order and its Relation to Superconductivity in FeSe0.4Te0.6
• A brief review on muSR studies of unconventional Fe and Cr-based superconductors
• Susceptibility anisotropy in an iron arsenide superconductor revealed by x-ray diffraction in pulsed magnetic fields
• Nematicity and in-plane anisotropy of superconductivity in $\beta$-FeSe detected by ${}^{77}$Se nuclear magnetic resonance
• Competition between superconductivity and magnetic/nematic order as a source of anisotropic superconducting gap in underdoped Ba${}_{1-x}$K${}_x$Fe${}_2$As${}_2$
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• Doping evolution of the superconducting gap structure in the underdoped iron arsenide Ba1-xKxFe2As2 revealed by thermal conductivity
• Doping dependence of the anisotropic quasiparticle interference in NaFe1-xCoxAs iron-based superconductors
• Coexistence of Nematic Order and Superconductivity in the Hubbard Model
• Nematicity in the superconducting mixed state of strain detwinned underdoped $\text{Ba}({\text{Fe}}_{1-x}{\text{Co}}_x{)}_2{\text{As}}_2$
• Synergetic ferroelectricity and superconductivity in zero-density Dirac semimetals near quantum criticality
• Superconducting gap symmetry in BaFe${}_{1.9}$Ni${}_{0.1}$As${}_2$ superconductor
• Quantum criticality of fermion velocities and critical temperature nearby a putative quantum phase transition in the $d$-wave superconductors
• Variation of shear moduli across superconducting phase transitions
• Competing Orders and Anomalies
• Interplay between nematic fluctuation and superconductivity in the two-orbital Hubbard model: A quantum Monte Carlo study
• Nematic fluctuations mediated superconductivity revealed by anisotropic strain in Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$
• On the existence of nematic-superconducting states in the Ginzburg-Landau regime
• Microscopic Description of Unconventional Nodal Superconductivity in FeSe