Hidden and antiferromagnetic order as a rank-5 superspin in URu2Si2

Abstract

We propose a candidate for the hidden order in URu2Si2: a rank-5 E type spin density wave between Uranium 5f crystal field doublets breaking time reversal and lattice tetragonal symmetry in a manner consistent with recent torque measurements [R. Okazaki et al, Science 331, 439 (2011)]. We argue that coupling of this order parameter to magnetic probes can be hidden by crystal field effects, while still having significant effects on transport, thermodynamics and magnetic susceptibilities. In a simple tight-binding model for the heavy quasiparticles, we show the connection between the hidden order and antiferromagnetic phases arises since they form different components of this single rank-5 pseudo-spin vector. Using a phenomenological theory, we show the experimental pressure-temperature phase diagram can be qualitatively reproduced by tuning terms which break pseudo-spin rotational symmetry. As a test of our proposal, we predict the presence of small magnetic moments in the basal plane oriented in the [110] direction ordered at the wave-vector (0,0,1).

arXiv comment5 pages

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• Hidden order and beyond: an experimental-theoretical overview of the multifaceted behavior of URu${}_2$Si${}_2$
• Direct observation of lattice symmetry breaking at the hidden-order transition in URu2Si2
• Unveiling Hidden Orders: Magnetostriction as a Probe of Multipolar-Ordered States
• Cyclotron Resonance in the Hidden-Order Phase of URu2Si2
• One-Component Order Parameter in URu${}_2$Si${}_2$ Uncovered by Resonant Ultrasound Spectroscopy and Machine Learning
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• Spectroscopic signatures of time-reversal symmetry breaking superconductivity
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• Probing octupolar hidden order via Janus impurities
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• Fermi Surface Reconstruction inside the Hidden Order Phase of URu2Si2 Probed by Thermoelectric Measurements
• Multipole order and global/site symmetry in the hidden order phase of URu2Si2
• Incommensurate short-range multipolar order parameter of phase II in Ce3Pd20Si6
• Search for Multipolar Instability in URu${}_2$Si${}_2$ Studied by Ultrasonic Measurements under Pulsed Magnetic Field
• Imprints of spin-orbit density wave in the hidden order state of URu2Si2
• Cyclotron resonance study of quasiparticle mass and scattering rate in the hidden-order and superconducting phases of URu2Si2
• Signatures of hidden octupolar order from nonlinear Hall effects
• Optical conductivity of URu${}_2$Si${}_2$ in the Kondo Liquid and Hidden-Order Phases
• On the possibility to detect multipolar order in URu${}_2$Si${}_2$ by the electric quadrupolar transition of resonant elastic X-ray scattering
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• Anisotropic Multipolar Exchange Interactions in Systems with Strong Spin-Orbit Coupling
• Thermodynamic Measurement of Angular Anisotropy at the Hidden Order Transition of URu${}_2$Si${}_2$
• Exceptional Ising Magnetic Behavior of Itinerant Spin-polarized Carriers in URu2Si2
• Basal-Plane Nonlinear Susceptibility: A Direct Probe of the Single-Ion Physics in URu2Si2
• Modulated Spin Liquid and Magnetic Order from a Kondo-Heisenberg model applied to $UR{u}_{2}S{i}_2$
• Phonon-driven multipolar dynamics in a spin-orbit coupled Mott insulator
• In-plane anisotropic response to the uniaxial pressure in the hidden order state of URu${}_2$Si${}_2$
• Anisotropic Kondo pseudo-gap in URu2Si2
• Hidden order symmetry and superconductivity in URu2Si2 investigated by quasiparticle interference
• Collective spin resonance excitation in the gapped itinerant multipole hidden order phase of URu2Si2
• Raman Active High Energy Excitations in URu${}_2$Si${}_2$
• Spin-orbit density wave: A new phase of matter applicable to the hidden order state of URu2Si2
• Phenomenological theory of the superconducting state inside the hidden-order phase of URu${}_2$Si${}_2$
• Elastic properties of hidden order in URu${}_{\text{2}}$Si${}_{\text{2}}$ are reproduced by a staggered nematic
• Unified Theory of Hastatic order and Antiferromagnetism in URu${}_2$Si${}_2$