Universal critical behavior in the ferromagnetic superconductor Eu(Fe${}_{0.75}$Ru${}_{0.25}$)${}_2$As${}_2$

Abstract

The study of universal critical behavior is a crucial issue in a continuous phase transition, which groups various critical phenomena into universality classes for revealing microscopic electronic behaviors. The understanding of the nature of magnetism in Eu-based ferromagnetic superconductors is largely impeded by the infeasibility of performing inelastic neutron scattering measurements to deduce the microscopic magnetic behaviors and the effects on the superconductivity, due to the significant neutron absorption effect of natural ${}^{152}$Eu and unavailability of large single crystals. However, by systematically combining the neutron diffraction experiment, the first-principles calculations, and the quantum Monte Carlo simulations, we have obtained a perfectly consistent universal critical exponent value of $\beta =0.385(13)$ experimentally and theoretically for Eu(Fe${}_{0.75}$Ru${}_{0.25}$)${}_2$As${}_2$, from which the magnetism in the Eu-based ferromagnetic superconductors is identified as the universal class of a three-dimensional anisotropic quantum Heisenberg model with long-range magnetic exchange coupling. This study not only clarifies the nature of microscopic magnetic behaviors in the Eu-based ferromagnetic superconductors, but also opens a new avenue of systemic methodology for studying the universal critical behaviors associated with magnetic phase transitions in the area of magnetism and the spin fluctuations effects on the unconventional superconductivity.

arXiv comment6 pages, 4 figures, 1 table

References in corpus (19)

• Stochastic series expansion method with operator-loop update
• Predicting the Spin-Lattice Order of Frustrated Systems from First-Principles
• Unconventional critical behaviour in a quasi-two-dimensional organic conductor
• Superconductivity induced by phosphorus doping and its coexistence with ferromagnetism in EuFe${}_2$(As${}_{0.7}$P${}_{0.3}$)${}_2$
• Critical Exponents of the Classical 3D Heisenberg Model: A Single-Cluster Monte Carlo Study
• Magnetic structure of EuFe2As2 determined by single crystal neutron diffraction
• Electrical Resistivity and Specific Heat of EuFe2As2 Single Crystals: Magnetic homologue of SrFe2As2
• Superconductivity and local-moment magnetism in Eu(Fe${}_{0.89}$Co${}_{0.11}$)${}_2$As${}_2$
• Critical behavior of the S=3/2 antiferromagnetic Heisenberg chain
• Superconductivity and ferromagnetism in EuFe${}_2$(As${}_{1-x}$P${}_x$)${}_2$
• Magnetic structure of the Eu2+ moments in superconducting EuFe2(As1-xPx)2 with x = 0.19
• Magnetic structure of superconducting Eu(Fe0.82Co0.18)2As2 as revealed by single-crystal neutron diffraction
• Magnetic ground state of superconducting Eu(Fe0.88Ir0.12)2As2: A combined neutron diffraction and first-principles calculation study
• Spiral magnetic ordering of the Eu moments in EuNi${}_2$As${}_2$
• Evolution of the multiband RKKY interaction: Application to iron pnictides and chalcogenides
• Evidence of Spontaneous Vortex Ground State in An Iron-Based Ferromagnetic Superconductor
• Magnetic ordering in EuRh2As2 studied by x-ray resonant magnetic scattering
• Low temperature series expansions for the square lattice Ising model with spin S > 1
• Hydrostatic pressure effects on the static magnetism in Eu(Fe${}_{0.925}$Co${}_{0.075}$)${}_2$As${}_2$

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• Bulk domain Meissner state in the ferromagnetic superconductor EuFe${}_2$(As${}_{0.8}$P${}_{0.2}$)${}_2$: Consequence of compromise between ferromagnetism and superconductivity
• Evolution from helical to collinear ferromagnetic order of the Eu${}^{2+}$ spins in RbEu(Fe${}_{1-x}$Ni${}_x$)${}_4$As${}_4$
• Pairing symmetry in monolayer of orthorhombic CoSb
• Addressing general measurements in quantum Monte Carlo