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}.
arXiv commentThis 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 (17)
- Heavy-fermion superconductivity in CeCoIn5 at 2.3K
- A New Heavy-Fermion Superconductor CeIrIn5: Relative of the Cuprates?
- A sufficient condition for the absence of the sign problem in the fermionic quantum Monte-Carlo algorithm
- Renormalization group fixed points, universal phase diagram, and 1/N expansion for quantum liquids with interactions near the unitarity limit
- Competing orders and quantum criticality in doped antiferromagnets
- Andreev Reflection in Heavy-Fermion Superconductors and Order Parameter Symmetry in CeCoIn_5
- Suppression of Kondo effect in a quantum dot by external irradiation
- Large-N expansion for unitary superfluid Fermi gases
- Magnetically mediated superconductivity: Crossover from cubic to tetragonal lattice
- Crystalline Electric Field Effects in CeMIn5: Superconductivity and the Influence of Kondo Spin Fluctuations
- Phase Diagram of the Two-Channel Kondo Lattice
- Flux expulsion and greedy bosons: frustrated magnets at large N
- Co-operative Kondo Effect in the two-channel Kondo Lattice
- Detecting topological orders through continuous quantum phase transition
- Theory of Superconductivity in PuCoGa5
- Exotic Kondo Effects in Metals: Magnetic Ions in a Crystalline Electric Field and Tunneling Centers
- Continuous quantum phase transitions beyond Landau's paradigm in a large-N spin model
Cited by in corpus (69)
- Superconducting phases of f-electron compounds
- Unconventional Superconductivity
- A theory of Topological Kondo Insulators
- Frustration and the Kondo effect in heavy fermion materials
- Electron Cotunneling into a Kondo Lattice
- Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
- 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
- Strong-coupling d-wave superconductivity in PuCoGa_5 probed by point contact spectroscopy
- Theoretical prediction and spectroscopic fingerprints of an orbital transition in CeCu2Si2
- Avoided Valence Transition in a Plutonium Superconductor
- Tandem Pairing in Heavy Fermion Superconductors
- Electronic Structure and Correlation Effects in PuCoIn5 as compared to PuCoGa5
- Triplet pairing mechanisms from Hund's-Kondo models: applications to UTe and CeRhAs
- Quantum magnetism of ultra-cold fermion systems with the symplectic symmetry
- Liquids in multi-orbital SU(N) Magnets with Ultracold Alkaline Earth Atoms
- Andreev reflection and order parameter symmetry in heavy-fermion superconductors: the case of CeCoIn
- Non-Fermi liquid behavior with and without quantum criticality in Ce(1-x)Yb(x)CoIn(5)
- Hastatic Order in URu2Si2 : Hybridization with a Twist
- Neutron magnetic form factor in strongly correlated materials
- Composite pairing in a mixed valent two channel Anderson model
- d-wave superconductivity in the frustrated two-dimensional periodic Anderson model
- Molecular Pairing and Fully-Gapped Superconductivity in Yb doped CeCoIn5
- Cubic hastatic order in the two-channel Kondo-Heisenberg model
- Wilson ratio in Yb-substituted CeCoIn5
- Supersymmetric approach to heavy fermion systems
- D-wave superconductivity induced by short-range antiferromagnetic correlations in the two-dimensional Kondo lattice model
- Field-induced Ferrohastatic Order in Cubic Non-Kramers Doublet Systems
- Classification of quantum phases for the star-lattice antiferromagnet via a projective symmetry group analysis
- Topological Mixed Valence Model for Twisted Bilayer Graphene
- Effective field theory for Sp(N) antiferromagnets and its phase structure
- Odd-frequency pairing inherent in Bogoliubov Fermi liquid
- Luttinger sum rules and spin fractionalization in the SU(N) Kondo Lattice
- Pairing symmetry of heavy fermion superconductivity in the two-dimensional Kondo-Heisenberg lattice model
- Topological symplectic Kondo effect
- Unconventional full-gap superconductivity in Kondo lattice with semi-metallic conduction bands
- Spectroscopic Evidence for the Direct Involvement of Local Moments in the Pairing Process of the Heavy-Fermion Superconductor CeCoIn
- Symplectic large-N theory of topological heavy-fermion semiconductors
- Dimer-induced heavy-fermion superconductivity in the Shastry-Sutherland Kondo lattice model
- Strange metal state near a heavy-fermion quantum critical point
- Thermal Expansion of the Heavy-fermion Superconductor PuCoGa
- Probing magnetism in the vortex phase of PuCoGa by X-ray magnetic circular dichroism
- Strange superconductivity near an antiferromagnetic heavy fermion quantum critical point
- Microscopic Properties of the Heavy-Fermion Superconductor PuCoIn Explored by Nuclear Quadrupole Resonance
- Fully-gapped superconductivity with rotational symmetry breaking in pressurized kagome metal CsVSb
- Magnetic properties of GdZn (T = Fe, Co) investigated by X-ray diffraction and spectroscopy
- Superconductivity in Ce-based cage compounds
- Breakdown of order-fractionalization in the CPT model
- The Symplectic Fermi Liquid and its realization in cold atomic systems
- Multiple Quantum Phase Transitions of Plutonium compounds
- Extended Nuclear Quadrupole Resonance Study of the Heavy-Fermion Superconductor PuCoGa
- The symplectic-N t-J model and s superconductors
- Floquet engineering multi-channel Kondo physics
- Low Energy Effective Field Theories of Sp(4) Spin systems
- Spins, electrons and broken symmetries: realizations of two channel Kondo physics
- Superconducting gap ratio from strange metal phase in the absence of quasiparticles
- Novel attractive pairing interaction in strongly correlated superconductors
- Quantum criticality and superconducting pairing in Ce(1-x)Yb(x)CoIn5 alloys
- Theory of pairing in mixed-valent correlated metals
- Dynamic-RKKY induced time-reversal symmetry breaking and chiral spin liquids
- Algebraic Hastatic Order in One-Dimensional Two-Channel Kondo Lattice
- Relevance of Anisotropy in the Kondo Effect: Lessons From the Symplectic Case
- Tunneling in heavy-fermion junctions
- Vortex bound state of Kondo lattice coupled to compensated metal
- Superconductivity from a non-Fermi liquid metal : Kondo fluctuation mechanism in the slave-fermion theory
- Spin nematic order and superconductivity in - Kondo lattice model on square lattice
- A Holographic Two-Impurity Kondo Model
- Antiferromagnetism and Stripe Channel Order in the -Symmetric Two-Channel Kondo Lattice Model
- Triplet resonating valence bond theory and transition metal chalcogenides