Emergent Rank-5 'Nematic' Order in URu2Si2

Abstract

Novel electronic states resulting from entangled spin and orbital degrees of freedom are hallmarks of strongly correlated f-electron systems. A spectacular example is the so-called 'hidden-order' phase transition in the heavy-electron metal URu2Si2, which is characterized by the huge amount of entropy lost at T_{HO}=17.5K. However, no evidence of magnetic/structural phase transition has been found below T_{HO} so far. The origin of the hidden-order phase transition has been a long-standing mystery in condensed matter physics. Here, based on a first-principles theoretical approach, we examine the complete set of multipole correlations allowed in this material. The results uncover that the hidden-order parameter is a rank-5 multipole (dotriacontapole) order with 'nematic' E^- symmetry, which exhibits staggered pseudospin moments along the [110] direction. This naturally provides comprehensive explanations of all key features in the hidden-order phase including anisotropic magnetic excitations, nearly degenerate antiferromagnetic-ordered state, and spontaneous rotational-symmetry breaking.

See the published version with more detailed discussions

References in corpus (27)

• Maximally-localized generalized Wannier functions for composite energy bands
• Wannier90: A Tool for Obtaining Maximally-Localised Wannier Functions
• Maximally-localized Wannier functions for entangled energy bands
• Unconventional pairing originating from disconnected Fermi surfaces in superconducting LaFeAsO${}_{1-x}$F${}_x$}
• Wien2wannier: From linearized augmented plane waves to maximally localized Wannier functions
• 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
• Hidden Orbital Order in $UR{u}_{2}S{i}_2$
• Exotic Superconducting Properties in the Electron-Hole Compensated Heavy Fermion `Semimetal' URu2Si2
• Visualizing the Formation of the Kondo Lattice and the Hidden Order in URu2Si2
• Gapped itinerant spin excitations account for missing entropy in the hidden order state of URu${}_2$Si${}_2$
• Helicity Order: Hidden Order Parameter in URu${}_2$Si${}_2$
• Theory of Unconventional Spin Density Wave: A Possible Mechanism of the Micromagnetism in U-based Heavy Fermion Compounds
• 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${}_2$
• Spin nematic state as a candidate of the hidden order phase of URu${}_2$Si${}_2$
• On the Hidden Order in URu${}_2$Si${}_2$ --- Antiferro Hexadecapole Order and its Consequences
• Hybridization wave as the 'Hidden Order' in URu${}_2$Si${}_2$
• The modulated spin liquid: a new paradigm for URu${}_2$Si${}_2$
• Precise study of the resonance at Q0=(1,0,0) in URu2Si2
• Signatures of hidden order symmetry in torque oscillations, elastic constant anomalies and field induced moments in URu2Si2

Cited by in corpus (96)

• Hastatic Order in URu2Si2
• Chirality density wave of the 'hidden order' phase in URu${}_2$Si${}_2$
• A quantum liquid of magnetic octupoles on the pyrochlore lattice
• Hidden Order Behaviour in URu2Si2 (A Critical Review of the Status of Hidden Order in 2014)
• 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${}_2$
• Photoemission Imaging of 3D Fermi Surface Pairing at the Hidden Order Transition in URu2Si2
• Excitonic condensation of strongly correlated electrons: the case of Pr${}_{0.5}$Ca${}_{0.5}$CoO${}_3$
• Evidence for a nematic component to the Hidden Order parameter in URu2Si2 from differential elastoresistance measurements
• Microscopic theory of the insulating electronic ground states of actinide dioxides AnO2 (An=U, Np, Pu, Am, and Cm)
• Direct observation of lattice symmetry breaking at the hidden-order transition in URu2Si2
• Emergent loop-nodal s${}_{\pm }$-wave superconductivity in CeCu${}_2$Si${}_2$: similarities to the iron-based superconductors
• Cyclotron Resonance in the Hidden-Order Phase of URu2Si2
• Superconductivity in magnetic multipole states
• Hidden and antiferromagnetic order as a rank-5 superspin in URu2Si2
• Exotic multi-gap structure in UPt${}_3$ unveiled by the first-priniciples analysis
• Formation of the coherent heavy fermion liquid at the 'hidden order' transition in URu2Si2
• One-Component Order Parameter in URu${}_2$Si${}_2$ Uncovered by Resonant Ultrasound Spectroscopy and Machine Learning
• Field-induced spin-density wave beyond hidden order in URu2Si2
• Dual nature of 5$f$ electrons in the isostructural UM${}_2$Si${}_2$ family: from antiferro- to Pauli paramagnetism via hidden order
• Spectroscopic determination of the atomic f-electron symmetry underlying hidden order in URu${}_2$Si${}_2$
• Evidence for chiral d-wave superconductivity in URu2Si2 from the field-angle variation of its specific heat
• Observation of Magnetopiezoelectric Effect in Antiferromagnetic Metal EuMnBi2
• Direct bulk sensitive probe of 5f symmetry in URu2Si2
• Symmetry and correlations underlying Hidden Order in URu2Si2
• Symmetry of the Excitations in the Hidden Order State of URu2Si2
• Unconventional density waves and superconductivities in Fe-based superconductors and other strongly correlated electron systems
• Odd-parity multipole fluctuation and unconventional superconductivity in locally noncentrosymmetric crystal
• Neutron scattering studies on URu2Si2
• Hastatic Order in URu2Si2 : Hybridization with a Twist
• Broken symmetries in URu2Si2
• Anisotropic B-T Phase Diagram of Non-Kramers System PrRh2Zn20
• Bulk evidence for a time reversal symmetry broken superconducting state in URu2Si2
• Superconductivity induced by fluctuations of momentum-based multipoles
• Anomalous Scaling of the Penetration Depth in Nodal Superconductors
• Multipole fluctuation theory for heavy fermion systems: Application to multipole orders in CeB6
• Quantum-well states at the surface of the heavy-fermion superconductor URu${}_2$Si${}_2$
• Hund's coupling stabilized superconductivity in the presence of spin-orbit interactions
• Electronic multipoles and multiplet pairs induced from Pomeranchuk and Cooper instabilities of Bogoliubov Fermi surfaces
• Γ3-type Lattice Instability and the Hidden Order of URu2Si2
• Fermi Surface Nesting with Heavy Quasiparticles in the Locally Noncentrosymmetric Superconductor CeRh${}_2$As${}_2$
• Pressure-Induced Rotational Symmetry Breaking in URu${}_2$Si${}_2$
• Strict limit on in-plane ordered magnetic dipole moment in URu2Si2
• Lattice dynamics of the heavy fermion compound URu${}_2$Si${}_2$
• Emergence of Charge Loop Current in Geometrically Frustrated Hubbard Model: Functional Renormalization Group Study
• Fully gapped s-wave superconductivity enhanced by magnetic criticality in heavy fermion system
• Derivation of RKKY Interaction between Multipole Moments in CeB${}_6$ by the Effective Wannier Model based on the Bandstructure Calculation
• Hybridization-Driven Orthorhombic Lattice Instability in URu2Si2
• Field-angle resolved magnetic excitations as a probe of hidden-order symmetry in CeB6
• Fermi Surface Reconstruction inside the Hidden Order Phase of URu2Si2 Probed by Thermoelectric Measurements
• Spin current and chirality degrees of freedom inherent in localized electron orbitals
• Multipole order and global/site symmetry in the hidden order phase of URu2Si2
• Quantum field theory of nematic transitions in spin orbit coupled spin-1 polar bosons
• Electronic nematicity in URu2Si2 revisited
• Local observation of linear-$T$ superfluid density and anomalous vortex dynamics in URu${}_2$Si${}_2$
• Incommensurate short-range multipolar order parameter of phase II in Ce3Pd20Si6
• 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
• Optical conductivity of URu${}_2$Si${}_2$ in the Kondo Liquid and Hidden-Order Phases
• Search for Multipolar Instability in URu${}_2$Si${}_2$ Studied by Ultrasonic Measurements under Pulsed Magnetic Field
• Superconducting phase within the hidden-order state of the heavy-fermion material $\mathrm{UR}{\mathrm{u}}_2\mathrm{S}{\mathrm{i}}_2$
• On the possibility to detect multipolar order in URu${}_2$Si${}_2$ by the electric quadrupolar transition of resonant elastic X-ray scattering
• Fermi surface in the hidden-order state of URu${}_2$Si${}_2$ under intense pulsed magnetic fields up to 81~T
• Anisotropic Multipolar Exchange Interactions in Systems with Strong Spin-Orbit Coupling
• Multipole-fluctuation pairing mechanism of $d_{x^2-y^2}+ig$ superconductivity in Sr${}_2$RuO${}_4$
• Fermi-Surface Selective Determination of the $\mathbf{g}$-Factor Anisotropy in URu${}_2$Si${}_2$
• 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
• Inelastic x-ray scattering measurements on URu2Si2
• Basal-Plane Nonlinear Susceptibility: A Direct Probe of the Single-Ion Physics in URu2Si2
• Magnetic-field-induced chiral hidden order in URu2Si2
• Symmetry-adapted closest Wannier modeling based on complete multipole basis set
• From hidden-order to antiferromagnetism: electronic structure changes in Fe-doped URu${}_2$Si${}_2$
• Tunneling spectroscopy of the superconducting state of URu2Si2
• Global perspectives of the bulk electronic structure of URu${}_2$Si${}_2$ from angle-resolved photoemission
• Ultrasonic Study of the Hidden Order and Heavy-Fermion State in URu${}_2$Si${}_2$ with Hydrostatic Pressure, Rh-doping, and High-Magnetic Fields
• Intrinsic low-temperature magnetic properties on the ultra-clean UTe${}_2$ with $T_{\mathrm{c}}$ = 2.1 K revealed by ${}^{125}$Te NMR
• Cascade of magnetic-field-driven quantum phase transitions in Ce3Pd20Si6
• Hidden order symmetry and superconductivity in URu2Si2 investigated by quasiparticle interference
• Fe substitution in URu${}_2$Si${}_2$: singlet magnetism in an extended Doniach phase diagram
• Collective spin resonance excitation in the gapped itinerant multipole hidden order phase of URu2Si2
• Efficient Method for Prediction of Meta-stable/Ground Multipolar Ordered States and its Application in Monolayer $\alpha$-\ce{RuX3} (X=Cl,I)
• In-plane anisotropic response to the uniaxial pressure in the hidden order state of URu${}_2$Si${}_2$
• Multipole representation for anisotropic Coulomb interactions
• URu${}_2$Si${}_2$ under intense magnetic fields: from hidden order to spin-density wave
• RKKY Interactions and Multipole Order in Ab initio Wannier Model of CeCoSi
• 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
• The hidden order in URu2Si2: Symmetry-induced anti-toroidal vortices
• Phenomenological theory of the superconducting state inside the hidden-order phase of URu${}_2$Si${}_2$
• Ungapped magnetic excitations beyond Hidden Order in URu${}_{2-x}$Re${}_x$Si${}_2$
• Keldysh pseudo-fermion functional renormalization group for quantum magnetism
• Microscopic Theory of ${\Gamma }_3$ Quadrupole Ordering in Pr Compounds on the Basis of a $j$-$j$ Coupling Scheme
• Emergent Chiral Metal near a Kondo Breakdown Quantum Phase Transition
• 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${}_2$