Field-induced Ferrohastatic Order in Cubic Non-Kramers Doublet Systems

Abstract

Cubic Pr-based compounds with ${\Gamma }_3$ non-Kramers doublet ground states can realize a novel heavy Fermi liquid with spinorial hybridization ('hastatic' order) that breaks time reversal symmetry. Several Pr-"1-2-20" materials exhibit a suggestive heavy Fermi liquid stabilized in intermediate magnetic fields; these provide key insight into the quadrupolar Kondo lattice. We develop a simple, yet realistic microscopic model of ferrohastatic order, and elaborate its experimental signatures and behavior in field, where it is a good candidate to explain the observed heavy Fermi liquids at intermediate fields in Pr(Ir,Rh)${}_2$Zn${}_{20}$. In addition, we develop the Landau theory of ferrohastatic order, which allows us to understand its behavior close to the transition and explore thermodynamic signatures from magnetic susceptibility to thermal expansion.

arXiv comment17 pages, 10 figures

References in corpus (36)

• Quantum Criticality in Heavy Fermion Metals
• Quantum criticality
• Topological Kondo Insulators
• Unconventional Superconductivity
• Kondo Effects and Multipolar Order in the cubic PrTr2Al20 (Tr=Ti, V)
• Cubic Topological Kondo Insulators
• Heavy Fermion Superconductivity in the Quadrupole Ordered State of PrV2Al20
• Superconductivity in the Ferroquadrupolar State in the Quadrupolar Kondo Lattice PrTi${}_2$Al${}_{20}$
• Hastatic Order in URu2Si2
• Simultaneous Superconducting and Antiferroquadrupolar Transitions in PrRh${}_2$Zn${}_{20}$
• Hidden Order Behaviour in URu2Si2 (A Critical Review of the Status of Hidden Order in 2014)
• Ferro-quadrupolar ordering in PrTi${}_2$Al${}_{20}$
• Supplementary material to Heavy electrons and the symplectic symmetry of spin
• Heavy electrons and the symplectic symmetry of spin
• Entropy evolution in the magnetic phases of partially frustrated CePdAl
• Quadrupole-Driven Non-Fermi Liquid and Magnetic-Field Induced Heavy Fermion States in a Non-Kramers Doublet System
• Unveiling Hidden Orders: Magnetostriction as a Probe of Multipolar-Ordered States
• Non-Fermi Liquid and Fermi Liquid in Two-Channel Anderson Lattice Model: Theory for Pr$A_2$Al${}_{20}$ ($A$=V, Ti) and PrIr${}_2$Zn${}_{20}$
• Superconductivity of Composite Particles in Two-Channel Kondo Lattice
• Antiferro Quadrupole Orders in Non-Kramers Doublet Systems
• Diagonal composite order in two-channel Kondo lattice
• Landau theory of multipolar orders in Pr(TM)${}_2$X${}_{20}$ Kondo materials
• Kondo Resonance in PrTi2Al20: Photoemission spectroscopy and single-impurity Anderson model
• Resolution of Entropy $\ln \sqrt{2}$ by Ordering in Two-Channel Kondo Lattice
• Scanning tunneling spectroscopy and surface quasiparticle interference in models for the strongly correlated topological insulators SmB6 and PuB6
• Two-stage multipolar ordering in Pr(TM)${}_2$Al${}_{20}$ Kondo materials
• NMR Observation of Ferro-quadrupole Order in PrTi2Al20
• Hastatic Order in URu2Si2 : Hybridization with a Twist
• Anisotropic B-T Phase Diagram of Non-Kramers System PrRh2Zn20
• Classical Monte Carlo study for antiferro quadrupole orders in a diamond lattice
• Cubic hastatic order in the two-channel Kondo-Heisenberg model
• Anomalous specific heat behaviour in the quadrupolar Kondo system PrV2Al20
• Highly anisotropic strain dependencies in PrIr${}_2$Zn${}_{20}$
• Composite Orders and Lifshitz Transition of Heavy Electrons
• Collective excitations from composite orders in Kondo lattice with non-Kramers doublets
• Mass-Imbalanced Superconductivity in Effective Two-Channel Kondo Lattice

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• Large-N Approach to the Two-Channel Kondo Lattice
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• Emergent Spinon Dispersion and Symmetry Breaking in Two-Channel Kondo Lattices
• Quadrupolar spin liquid, octupolar Kondo coupling and odd-frequency superconductivity in an exactly solvable model
• Evolution of non-Kramers Doublets in Magnetic Field PrNi${}_2$Cd${}_{20}$ and PrPd${}_2$Cd${}_{20}$
• Dynamic mass generation and topological order in overscreened Kondo lattices
• Quantum Criticality Enabled by Intertwined Degrees of Freedom
• Learning crystal field parameters using convolutional neural networks
• Topological ground state degeneracy of the two-channel Kondo lattice
• Strange-metal behavior without fine-tuning in PrV2Al20
• Algebraic Hastatic Order in One-Dimensional Two-Channel Kondo Lattice
• Unified Theory of Hastatic order and Antiferromagnetism in URu${}_2$Si${}_2$