Multipole order and global/site symmetry in the hidden order phase of URu2Si2

Abstract

On the basis of group theory and the first-principles calculations, we investigate high-rank multipole orderings in URu2Si2, which have been proposed as a genuine primary order parameter in the hidden order phase below 17.5K. We apply Shubnikov group theory to the multipole ordered states characterized by the wave vector Q = (0, 0, 1) and specify the global/site symmetry and the secondary order parameters, such as induced dipole moments and change in charge distribution. We find that such antiferroic magnetic multipole orderings have particularly advantageous to conceal the primary order parameter due to preserving high symmetry in charge distribution. Experimental observations of the inherent low-rank multipoles, which are explicitly classified in this paper, will be key pieces to understand the puzzling hidden order phase.

arXiv comment9 pages, 4 figures

References in corpus (28)

• Colloquium: Hidden Order, Superconductivity, and Magnetism -- The Unsolved Case of URu2Si2
• 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
• Exotic Superconducting Properties in the Electron-Hole Compensated Heavy Fermion `Semimetal' URu2Si2
• Structural quantum criticality and superconductivity in iron-based superconductor Ba(Fe1-xCox)2As2
• Effect of Pressure on Tiny Antiferromagnetic Moment in the Heavy-Electron Compound URu_2Si_2
• Triple-q octupolar ordering in NpO_2
• Emergent Rank-5 'Nematic' Order in URu2Si2
• Helicity Order: Hidden Order Parameter in URu${}_2$Si${}_2$
• Similarity of Fermi Surface in the Hidden Order State and in the Antiferromagnetic State of URu2Si2
• Group theory and octupolar order in URu2Si2
• Why the hidden order in URu2Si2 is still hidden - one simple answer
• Thermal transport in the hidden-order state of URu${}_2$Si${}_2$
• Itinerant magnetic multipole moments of rank five, triakontadipoles, as the hidden order in URu${}_2$Si${}_2$
• Electronic structure theory of the hidden order material URu${}_2$Si${}_2$
• Interplay between SDW and induced local moments in URu2Si2
• On the Hidden Order in URu${}_2$Si${}_2$ --- Antiferro Hexadecapole Order and its Consequences
• Direct observation of lattice symmetry breaking at the hidden-order transition in URu2Si2
• Microscopic theory of the insulating electronic ground states of actinide dioxides AnO2 (An=U, Np, Pu, Am, and Cm)
• Antiferromagnetic critical pressure in URu2Si2 under hydrostatic conditions
• Hidden and antiferromagnetic order as a rank-5 superspin in URu2Si2
• Cyclotron Resonance in the Hidden-Order Phase of URu2Si2
• Signatures of hidden order symmetry in torque oscillations, elastic constant anomalies and field induced moments in URu2Si2
• First-Principles Theory of Multipolar Order in Neptunium Dioxide
• Electrical Resistivity and Thermal Expansion Measurements of URu2Si2 under Pressure
• Hybridization-Driven Orthorhombic Lattice Instability in URu2Si2
• Sequence of multipolar transitions: Scenarios for URu2Si2

Cited by in corpus (12)

• Cluster multipole theory for anomalous Hall effect in antiferromagnets
• First-principles theory of magnetic multipoles in condensed matter systems
• Hidden order and beyond: an experimental-theoretical overview of the multifaceted behavior of URu${}_2$Si${}_2$
• Field-induced spin-density wave beyond hidden order in URu2Si2
• Generation of modulated magnetic structure based on cluster multipole: Application to $\alpha$-Mn and Co$M_3$S${}_6$
• Electronic nematicity in URu2Si2 revisited
• Inelastic x-ray scattering measurements on URu2Si2
• Efficient Method for Prediction of Meta-stable/Ground Multipolar Ordered States and its Application in Monolayer $\alpha$-\ce{RuX3} (X=Cl,I)
• URu${}_2$Si${}_2$ under intense magnetic fields: from hidden order to spin-density wave
• Raman Active High Energy Excitations in URu${}_2$Si${}_2$
• The hidden order in URu2Si2: Symmetry-induced anti-toroidal vortices
• Microscopic Theory of ${\Gamma }_3$ Quadrupole Ordering in Pr Compounds on the Basis of a $j$-$j$ Coupling Scheme