Heavy electrons and the symplectic symmetry of spin
arXiv:0710.1126 · doi:10.1038/nphys1024
Abstract
The recent discovery of two heavy fermion materials PuCoGa_{5} and NpPd_{5}Al_{2} which transform directly from Curie paramagnets into superconductors, reveals a new class of superconductor where local moments quench directly into a superconducting condensate. A powerful tool in the description of heavy fermion metals is the large N expansion, which expands the physics in powers of 1/N about a solvable limit where particles carry a large number (N) of spin components. As it stands, this method is unable to jointly describe the spin quenching and superconductivity which develop in PuCoGa_{5} and NpPd_{5}Al_{2}. Here, we solve this problem with a new class of large N expansion that employs the symplectic symmetry of spin to protect the odd time-reversal parity of spin and sustain Cooper pairs as well-defined singlets. With this method we show that when a lattice of magnetic ions exchange spin with their metallic environment in two distinct symmetry channels, they are able to simultaneously satisfy both channels by forming a condensate of composite pairs between between local moments and electrons. In the tetragonal crystalline environment relevant to PuCoGa_{5} and NpPd_{5}Al_{2} the lattice structure selects a natural pair of spin exchange channels, giving rise to the prediction of a unique anisotropic paired state with g-wave symmetry. This pairing mechanism predicts a large upturn in the NMR relaxation rate above T_{c}, a strong enhancement of Andreev reflection in tunneling measurements and an enhanced superconducting transition temperature T_{c} in Pu doped Np_{1-x}Pu_{x}Pd_{5}Al_{2}.
This is a substantially revised version of the original paper, focussing on the high temperature heavy electron superconductors PuCoGa_5 and NpPd_5Al_2. A substantially revised supplementary online material to this paper can be found in arXiv 0710.1128v2
References in corpus (4)
Cited by in corpus (35)
- Unconventional Superconductivity
- Frustration and the Kondo effect in heavy fermion materials
- Electron Cotunneling into a Kondo Lattice
- Crystal-field and Kondo scale investigation of CeMIn5 (M=Co, Ir and Rh): a combined x-ray absorption and inelastic neutron study
- Symplectic N and time reversal in frustrated magnetism
- Triplet pairing mechanisms from Hund's-Kondo models: applications to UTe and CeRhAs
- Quantum magnetism of ultra-cold fermion systems with the symplectic symmetry
- Andreev reflection and order parameter symmetry in heavy-fermion superconductors: the case of CeCoIn
- Hastatic Order in URu2Si2 : Hybridization with a Twist
- d-wave superconductivity in the frustrated two-dimensional periodic Anderson model
- D-wave superconductivity induced by short-range antiferromagnetic correlations in the two-dimensional Kondo lattice model
- Odd-frequency pairing inherent in Bogoliubov Fermi liquid
- Effective field theory for Sp(N) antiferromagnets and its phase structure
- Topological Mixed Valence Model for Twisted Bilayer Graphene
- Luttinger sum rules and spin fractionalization in the SU(N) Kondo Lattice
- Topological symplectic Kondo effect
- Spectroscopic Evidence for the Direct Involvement of Local Moments in the Pairing Process of the Heavy-Fermion Superconductor CeCoIn
- Dimer-induced heavy-fermion superconductivity in the Shastry-Sutherland Kondo lattice model
- Probing magnetism in the vortex phase of PuCoGa by X-ray magnetic circular dichroism
- Thermal Expansion of the Heavy-fermion Superconductor PuCoGa
- Fully-gapped superconductivity with rotational symmetry breaking in pressurized kagome metal CsVSb
- Superconductivity in Ce-based cage compounds
- Breakdown of order-fractionalization in the CPT model
- The symplectic-N t-J model and s superconductors
- The Symplectic Fermi Liquid and its realization in cold atomic systems
- Extended Nuclear Quadrupole Resonance Study of the Heavy-Fermion Superconductor PuCoGa
- Floquet engineering multi-channel Kondo physics
- Quantum criticality and superconducting pairing in Ce(1-x)Yb(x)CoIn5 alloys
- Vortex bound state of Kondo lattice coupled to compensated metal
- Algebraic Hastatic Order in One-Dimensional Two-Channel Kondo Lattice
- Dynamic-RKKY induced time-reversal symmetry breaking and chiral spin liquids
- Relevance of Anisotropy in the Kondo Effect: Lessons From the Symplectic Case
- Spin nematic order and superconductivity in - Kondo lattice model on square lattice
- Triplet resonating valence bond theory and transition metal chalcogenides
- Antiferromagnetism and Stripe Channel Order in the -Symmetric Two-Channel Kondo Lattice Model