Spin glass versus superconductivity

Abstract

A superconductor with interacting paramagnetic impurities is considered. The impurities are coupled via the Ruderman-Kittel-Kasuya-Yoshida interaction. At a temperature Tg, the system of magnetic impurities forms a spin-glass state. We study the effect of the spin-spin interactions on the superconducting transition point at T<Tg. We show that superconducting properties depend on the state of the spin system via spin-spin autocorrelation functions. With the help of the Keldysh technique, a general nonequilibrium Gor'kov equation is derived. Possible ageing effects in the superconducting transition point are discussed. The equilibrium superconducting transition point is found explicitly and shown to be shifted towards higher temperatures and impurity concentrations compared to the classical Abrikosov-Gor'kov's curve. The corresponding shift of the superconducting quantum critical point is quite small (about 10%). A method of calculating spin-spin correlation function is suggested. The method combines the ideas of random mean-field method and virial expansion. We calculate analytically the first virial term for the spin-spin correlator for the quantum Heisenberg spin glass with the RKKY interactions in the quasiequilibrium regime.

11 pages, 3 Figures

References in corpus (2)

• Disorder and Quantum Fluctuations in Superconducting Films in Strong Magnetic Fields
• Aging dynamics of quantum spin glasses of rotors

Cited by in corpus (42)

• Topological superconducting phase in helical Shiba chains
• Splitting of Majorana modes due to intervortex tunneling in a p + ip superconductor
• Microscopic origin of low frequency flux noise in Josephson circuits
• Helical order in one-dimensional magnetic atom chains and possible emergence of Majorana bound states
• Tunneling of anyonic Majorana excitations in topological superconductors
• RKKY interaction on the surface of three-dimensional Dirac semimetals
• Self-Organized Topological Superconductivity in a Yu-Shiba-Rusinov Chain
• Proximity-induced Josephson $\pi$-Junctions in Topological Insulators
• Enhanced anti-ferromagnetic exchange between magnetic impurities in a superconducting host
• Statistics of random voltage fluctuations and the low-density residual conductivity of graphene
• RKKY Interaction On Surfaces of Topological Insulators With Superconducting Proximity Effect
• Self-consistent theory of ferromagnetism on the surface of a topological insulator
• Electron transport and energy relaxation in dilute magnetic alloys
• Impurity Induced Quantum Phase Transitions and Magnetic Order in Conventional Superconductors: Competition between Bound and Quasiparticle states
• Nodal superconducting exchange coupling
• Anharmonic phonon damping enhances the $T_c$ of BCS-type superconductors
• Spontaneous time-reversal symmetry breaking by disorder in superconductors
• Pairing instability on a Luttinger surface: A non-Fermi liquid to superconductor transition and its Sachdev-Ye-Kitaev dual
• Glass-induced enhancement of superconducting $T_c$: Pairing via dissipative mediators
• Collective Yu-Shiba-Rusinov states in magnetic clusters at superconducting surfaces
• The effective increase in atomic scale disorder by doping and superconductivity in Ca${}_3$Rh${}_4$Sn${}_{13}$
• Effect of atomic disorder and Ce doping on superconductivity of Ca3Rh4Sn13: Electric transport properties under high pressure
• Long-range interaction of magnetic moments in a coupled system of S/F/S Josephson junctions with anomalous ground-state phase shift
• Magnetic impurities in a superconductor: Effect of domain walls and interference
• Yu-Shiba-Rusinov States and Ordering of Magnetic Impurities Near the Boundary of a Superconducting Nanowire
• Pressure-induced Frustration of Magnetic Coupling in Elemental Europium
• Detecting Low-Energy Interactions and the Effects of Energy Accumulation in Materials
• Magnetism and superconductivity in U_2Pt_xRh_(1-x)C_2
• Antiferromagnetic Ising spin glass competing with BCS pairing interaction in a transverse field
• RKKY interaction in one-dimensional flat-band lattices
• Fermionic Ising glasses in magnetic transverse field with BCS pairing interaction
• Probing Magnetic and Triplet Correlations in Spin-Split Superconductors with Magnetic Impurities
• Interplay between charge, magnetic and superconducting order in a Kondo lattice with an attractive Hubbard interaction
• RKKY interaction at helical edges of topological superconductors
• RKKY interaction in graphene at finite temperature
• The effect of midgap states on the magnetic exchange interaction mediated by a $d$-wave superconductor
• Ephemeral Superconductivity Atop the False Vacuum
• Disorder-driven superconductor-normal metal phase transition in quasi-one-dimensional organic conductors
• Dissipative quantum disordered models
• Kondo Screening and Indirect Magnetic Exchange through a Conventional Superconductor Studied by the Density-Matrix Renormalization Group
• Cooper Pair Induced Frustration and Nematicity of Two-Dimensional Magnetic Adatom Lattices
• Wohlleben Effect and Emergent Pi junctions in superconducting Boron doped Diamond thin films