Hastatic Order in URu2Si2 : Hybridization with a Twist

Abstract

The broken symmetry that develops below 17.5K in the heavy fermion compound URu2Si2 has long eluded identification. Here we argue that the recent observation of Ising quasiparticles in URu2Si2 results from a spinor hybridization order parameter that breaks double time-reversal symmetry by mixing states of integer and half-integer spin. Such "hastatic order" (hasta:[Latin]spear) hybridizes Kramers conduction electrons with Ising, non-Kramers 5f2 states of the uranium atoms to produce Ising quasiparticles. The development of a spinorial hybridization at 17.5K accounts for both the large entropy of condensation and the magnetic anomaly observed in torque magnetometry. This paper develops the theory of hastatic order in detail, providing the mathematical development of its key concepts. Hastatic order predicts a tiny transverse moment in the conduction sea, a collosal Ising anisotropy in the nonlinear susceptibility anomaly and a resonant energy-dependent nematicity in the tunneling density of states.

arXiv comment28 pages, 14 figures

References in corpus (48)

• Berry phase effect in anomalous thermoelectric transport
• Berry phase correction to electron density of states in solids
• Orbital magnetization in periodic insulators
• Spin Ice, Fractionalization and Topological Order
• Colloquium: Hidden Order, Superconductivity, and Magnetism -- The Unsolved Case of URu2Si2
• Chiral P-Wave Order in Sr_2RuO_4
• Imaging the Fano Lattice to 'Hidden Order' Transition in URu2Si2
• Rotational Symmetry Breaking in the Hidden-Order Phase of URu2Si2
• Arrested Kondo effect and hidden order in URu_2Si_2
• Visualizing the Formation of the Kondo Lattice and the Hidden Order in URu2Si2
• Effect of Pressure on Tiny Antiferromagnetic Moment in the Heavy-Electron Compound URu_2Si_2
• Gapped itinerant spin excitations account for missing entropy in the hidden order state of URu${}_2$Si${}_2$
• Emergent Rank-5 'Nematic' Order in URu2Si2
• Helicity Order: Hidden Order Parameter in URu${}_2$Si${}_2$
• Hastatic Order in URu2Si2
• Fermi surface instability at the hidden-order transition of URu2Si2
• Electron Cotunneling into a Kondo Lattice
• Similarity of Fermi Surface in the Hidden Order State and in the Antiferromagnetic State of URu2Si2
• Chirality density wave of the 'hidden order' phase in URu${}_2$Si${}_2$
• High Field Studies of the Hidden Order Transition in URu${}_2$Si${}_2$
• Heavy electrons and the symplectic symmetry of spin
• Supplementary material to Heavy electrons and the symplectic symmetry of spin
• Electronic structure theory of the hidden order material URu${}_2$Si${}_2$
• Spin nematic state as a candidate of the hidden order phase of URu${}_2$Si${}_2$
• Observation of the hybridization gap and Fano resonance in the Kondo lattice URu2Si2
• Hybridization wave as the 'Hidden Order' in URu${}_2$Si${}_2$
• Re-entrant hidden order at a metamagnetic quantum critical end point
• Transport anomalies in a simplified model for a heavy electron quantum critical point
• The modulated spin liquid: a new paradigm for URu${}_2$Si${}_2$
• Evidence for a nematic component to the Hidden Order parameter in URu2Si2 from differential elastoresistance measurements
• Antiferromagnetic critical pressure in URu2Si2 under hydrostatic conditions
• Cyclotron Resonance in the Hidden-Order Phase of URu2Si2
• Hidden and antiferromagnetic order as a rank-5 superspin in URu2Si2
• Optical spectroscopy shows that the normal state of URu${}_2$Si${}_2$ is an anomalous Fermi liquid
• The Ising-Kondo lattice with transverse field: an f-moment Hamiltonian for URu2Si2?
• Complex Landau Ginzburg Theory of the Hidden Order in URu_2Si_2
• Diagonal composite order in two-channel Kondo lattice
• Co-operative Kondo Effect in the two-channel Kondo Lattice
• Solution of the Two-Channel Anderson Impurity Model - Implications for the Heavy Fermion UBe${}_{13}$ -
• Symmetry of the Excitations in the Hidden Order State of URu2Si2
• Hidden Order Transition in URu2Si2 and the Emergence of a Coherent Kondo Lattice
• Hidden order pseudogap in URu${}_2$Si${}_2$
• Absence of a static in-plane magnetic moment in the "hidden-order" phase of URu${}_2$Si${}_2$
• Evidence for Anisotropic Kondo Behavior in Ce0.8La0.2Al3
• Strict limit on in-plane ordered magnetic dipole moment in URu2Si2
• Role of commensurate and incommensurate low-energy excitations in the paramagnetic to hidden-order transition of URu${}_2$Si${}_2$
• Basal-Plane Nonlinear Susceptibility: A Direct Probe of the Single-Ion Physics in URu2Si2
• Hidden and Hastatic Orders in URu2Si2

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