Coexistence of ferromagnetism and superconductivity near quantum phase transition: The Heisenberg- to Ising-type crossover

Abstract

A microscopic mean-field theory of the phase coexistence between ferromagnetism and superconductivity in the weakly ferromagnetic itinerant electron system is constructed, while incorporating a realistic mechanism for superconducting pairing due to the exchange of critical spin fluctuations. The self-consistent solution of the resulting equations determines the superconducting transition temperature which is shown to depend strongly on the exchange splitting. The effect of phase crossover from isotropic (Heisenberg-like) to uniaxial (Ising-like) spin fluctuations near the quantum phase transition is analysed and the generic phase diagram is obtained. This scenario is then applied to the case of itinerant ferromagnet ZrZn2, which sheds light on the proposed phase diagram of this compound. Possible explanation of superconductivity in UGe2 is also discussed.

arXiv comment5 pages, 3 figures

References in corpus (10)

• Quantum Phase Transitions in the Itinerant Ferromagnet ZrZn${}_2$
• Pressure dependence of the magnetization in the ferromagnetic superconductor UGe_2
• Metamagnetic Quantum Criticality
• Theory of Ferromagnetic Superconductivity
• Ferromagnetic superconductivity driven by changing Fermi surface topology
• Quantum critical effects on transition temperature of magnetically mediated p-wave superconductivity
• Strong Enhancement of Superconducting T_c in Ferromagnetic Phases
• Multiple first-order metamagnetic transitions and quantum oscillations in ultrapure
• Heat-capacity anomalies at $T_{sc}$ and $T^{\ast }$ in the ferromagnetic superconductor UGe${}_2$
• Coexistence of ferromagnetism and superconductivity

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• Coexistence and competition of ferromagnetism and p-wave superconductivity in holographic model
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• Thermodynamics of ferromagnetic superconductors with spin-triplet electron pairing
• Coexistence of itinerant ferromagnetism and a non-unitary superconducting state with line nodes: possible application to UGe${}_2$
• Nontrivial interplay between superconductivity and spin-orbit coupling in non-centrosymmetric ferromagnets
• Pairing symmetry signatures of T1 in superconducting ferromagnets
• Enhancement of ferromagnetism by p-wave Cooper pairing in superconducting ferromagnets
• Microscopic origin of ultranodal superconducting states in spin-1/2 systems
• Theory of Self-Induced Vortex State in Ferromagnetic Superconductors
• Superconducting Correlations in the One-Dimensional Kondo Lattice Models under Magnetic Fields
• Coexistence of p-wave Cooper pairing and ferromagnetism
• Superfluidity enhanced by spin-flip tunnelling in the presence of a magnetic field
• Density of states near a vortex core in ferromagnetic superconductors: Application to STM measurements
• Metamagnetism and tricriticalilty in heavy-fermion ferromagnet URhGe