Colloquium: Hidden Order, Superconductivity, and Magnetism -- The Unsolved Case of URu2Si2
arXiv:1107.0258 · doi:10.1103/RevModPhys.83.1301
Abstract
This Colloquium reviews the 25 year quest for understanding the continuous (second-order) mean-field-like phase transition occurring at 17.5 K in URu2Si2. About ten years ago, the term hidden order (HO) was coined and has since been utilized to describe the unknown ordered state, whose origin cannot be disclosed by conventional solid-state probes, such as x rays, neutrons, or muons. HO is able to support superconductivity at lower temperatures (Tc ~ 1.5 K), and when magnetism is developed with increasing pressure both the HO and the superconductivity are destroyed. Other ways of probing the HO are via Rh-doping and very large magnetic fields. During the last few years a variety of advanced techniques have been tested to probe the HO state and their attempts will be summarized. A digest of recent theoretical developments is also included. It is the objective of this Colloquium to shed additional light on the HO state and its associated phases in other materials.
25 pages, 16 figures, published in Reviews of Modern Physics
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- Parasitic small-moment-antiferromagnetism and non-linear coupling of hidden order and antiferromagnetism in URu2Si2 observed by Larmor diffraction
- Field-angle-dependent specific heat measurements and gap determination of a heavy fermion superconductor URu2Si2
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- The Ising-Kondo lattice with transverse field: an f-moment Hamiltonian for URu2Si2?
- 29-Si NMR and Hidden Order in URu2Si2
- Competition between hidden order and antiferromagnetism in URu_2Si_2 under uniaxial stress studied by neutron scattering
- Competing Ordered Phases in URu2Si2: Hydrostatic Pressure and Re-substitution
- Mesoscopic Phase Coherence in a Quantum Spin Fluid
- Details of Sample Dependence and Transport Properties of URu2Si2
- Possible Phase Transition Deep Inside the Hidden Order Phase of Ultraclean URu2Si2
- Determination of the Antiferroquadrupolar Order Parameters in UPd3
- Properties and Detection of Spin Nematic Order in Strongly Correlated Electron Systems
- Anomalous Femtosecond Quasiparticle Dynamics of Hidden Order State in URuSi
- Complex Landau Ginzburg Theory of the Hidden Order in URu_2Si_2
- The degree of 5f electron localization in URu2Si2: electron energy-loss spectroscopy and spin-orbit sum rule analysis
- Point-contact spectroscopy on URuSi
- 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
- Incommensurate spin resonance in URu2Si2
- The Fano effect in the point contact spectroscopy of heavy electron materials
- Field Reentrance of the Hidden Order State of URu2Si2 under Pressure
- Induced-Moment Weak Antiferromagnetism and Orbital Order on the Itinerant-Localized Duality Model with Nested Fermi Surface: A Possible Origin of Exotic Magnetism in URuSi
- Electrical Resistivity and Thermal Expansion Measurements of URu2Si2 under Pressure
- Phonon Thermal Transport of URu2Si2: Broken Translational Symmetry and Strong-Coupling of the Hidden Order to the Lattice
- Chirality Induced Tilted-Hill Giant Nernst Signal
- Pressure dependence of the magnetization of URu2Si2
- Flux Line Lattice Melting and the Formation of a Coherent Quasiparticle Bloch State in the Ultraclean URuSi Superconductor
- On the destruction of the hidden order in URuSi by a strong magnetic field
- Itinerant spin excitations near the hidden order transition in URu2Si2
- Specific Heat of URuSi in Fields to 42 T: Clues to the 'Hidden Order'
- Irreversible dynamics of the phase boundary in U(Ru0.9)Rh0.04)2Si2 and implications for ordering
- Itinerancy and Hidden Order in
- Quantum critical 5f-electrons avoid singularities in U(Ru,Rh)2Si2
- Uncovering the Hidden Order in URu2Si2 by Impurity Doping
- Skutterudite Results Shed Light on Heavy Fermion Physics
- Sequence of multipolar transitions: Scenarios for URu2Si2
- Local suppression of the hidden order phase by impurities in URu2Si2
- Charge density wave in hidden order state of URuSi
- Magnetic Correlations and the Anisotropic Kondo Effect in Ce1-xLaxAl3
- Magnetization, Maxwell's Relations and the Local Physics of the Dilute System Th_{1-x}U_{x}Ru_{2}Si_{2}
- Pressure dependence of magnetism in URu2Si2
Cited by in corpus (218)
- Metallic Quantum Ferromagnets
- Topological surface state in the Kondo Insulator Samarium Hexaboride
- Unconventional Superconductivity
- HORACE: software for the analysis of data from single crystal spectroscopy experiments at time-of-flight neutron instruments
- Odd-frequency superconductivity
- Nernst effect in metals and superconductors: a review of concepts and experiments
- Topological surface states in nodal superconductors
- Emergent Rank-5 'Nematic' Order in URu2Si2
- A review of two-band superconductivity: materials and effects on the thermodynamic and reversible mixed-state properties
- Hastatic Order in URu2Si2
- Evidence for broken time-reversal symmetry in the superconducting phase of URuSi
- Chirality density wave of the 'hidden order' phase in URuSi
- Excitonic condensation in systems of strongly correlated electrons
- Single-component superconducting state in UTe2 at 2 K
- 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
- Detection of multipolar orders in the spin-orbit-entangled 5d Mott insulator Ba2MgReO6
- Observation of the hybridization gap and Fano resonance in the Kondo lattice URu2Si2
- Probing hidden spin order with interpretable machine learning
- Intertwined dipolar and multipolar order in the triangular-lattice magnet TmMgGaO
- Hidden order and beyond: an experimental-theoretical overview of the multifaceted behavior of URuSi
- Multipolar phases and magnetically hidden order: Review of the heavy-fermion compound Ce(1-x)La(x)B6
- Photoemission Imaging of 3D Fermi Surface Pairing at the Hidden Order Transition in URu2Si2
- Unconventional Magnetic Ground State in YbTiO
- Heavy fermions in high magnetic field
- Emergent states in heavy electron materials
- Resonant magnetic exciton mode in the heavy-fermion antiferromagnet CeB6
- Evidence for a nematic component to the Hidden Order parameter in URu2Si2 from differential elastoresistance measurements
- Colossal thermomagnetic response in the exotic superconductor URu2Si2
- Excitonic condensation of strongly correlated electrons: the case of PrCaCoO
- 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)
- Intense low-energy ferromagnetic fluctuations in the antiferromagnetic heavy-fermion metal CeB6
- Long range order and two-fluid behavior in heavy electron materials
- Cyclotron Resonance in the Hidden-Order Phase of URu2Si2
- Hidden and antiferromagnetic order as a rank-5 superspin in URu2Si2
- Resonant x-ray spectroscopy of uranium intermetallics at the U edges
- Spin and orbital hybridization at specifically nested Fermi surfaces in URuSi
- Momentum-resolved evolution of the Kondo lattice into 'hidden-order' in URu2Si2
- Selective measurements of intertwined multipolar orders: non-Kramers doublets on a triangular lattice
- Formation of the coherent heavy fermion liquid at the 'hidden order' transition in URu2Si2
- One-Component Order Parameter in URuSi Uncovered by Resonant Ultrasound Spectroscopy and Machine Learning
- Measurements of the NMR Knight shift tensor and nonlinear magnetization in URuSi
- Competition between the Pseudogap and Superconducting States of BiSrCaYCuO Single Crystals Revealed by Ultrafast Broadband Optical Reflectivity
- Field-induced spin-density wave beyond hidden order in URu2Si2
- Evidence for chiral d-wave superconductivity in URu2Si2 from the field-angle variation of its specific heat
- Dual nature of 5 electrons in the isostructural UMSi family: from antiferro- to Pauli paramagnetism via hidden order
- Spin-orbit density wave induced hidden topological order in URu2Si2
- Direct bulk sensitive probe of 5f symmetry in URu2Si2
- Selection rules for Cooper pairing in two-dimensional interfaces and sheets
- The Superfluid Glass Phase of 3He-A
- Chemical pressure tuning of URuSi via isoelectronic substitution of Ru with Fe
- Synchrotron Radiation Techniques and their Application to Actinide Materials
- Probing 5f-state configurations in URu2Si2 with U L3-edge resonant x-ray emission spectroscopy
- Direct experimental observation of the molecular Jeff=3/2 ground state in the lacunar spinel GaTa4Se8
- Resolution of Entropy by Ordering in Two-Channel Kondo Lattice
- Interplay of magnetism, Fermi surface reconstructions, and hidden-order in the heavy-fermion material URuSi
- Symmetry of the Excitations in the Hidden Order State of URu2Si2
- Sequential localization of a complex electron fluid
- Analogy between the "Hidden Order" and the Orbital Antiferromagnetism in URuFeSi
- Simulating the Haldane Phase in Trapped Ion Spins Using Optical Fields
- Two-site fluctuations and multipolar superexchange interactions in strongly correlated systems
- Order Fractionalization in a Kitaev-Kondo model
- Lifshitz transition from valence fluctuations in YbAl3
- Heat capacity double transitions in time-reversal symmetry broken superconductors
- Neutron scattering studies on URu2Si2
- Phase diagram and thermal expansion measurements on the system of URu_{2-x}Fe_xSi_2
- Unfolding the physics of URu2Si2 through Si -> P substitution
- The Tricritical Point of the f-electron Antiferromagnet USb2 Driven by High Magnetic Fields
- Hastatic Order in URu2Si2 : Hybridization with a Twist
- Universal Knight shift anomaly in the Periodic Anderson model
- Spontaneous Spatial Inversion Symmetry Breaking and Spin Hall Effect in a Spin-ice Double-exchange Model on a Pyrochlore Lattice
- Hidden order pseudogap in URuSi
- Revealing the nature of antiferro-quadrupolar ordering in Cerium Hexaboride: CeB
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- Understanding Magnetic Properties of Actinide-Based Compounds from Machine Learning
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- Hidden order and multipolar exchange striction in a correlated f-electron system
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- Antiferromagnetism and Hidden Order in Isoelectronic Doping of URuSi
- Charge density wave with anomalous temperature dependence in UPt2Si2
- Fermi Surface Nesting with Heavy Quasiparticles in the Locally Noncentrosymmetric Superconductor CeRhAs
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- Modelling Magnetic Multipolar Phases in Density Functional Theory
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- Anomalous Hall effect in heavy electron materials
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- Magnetic Exciton Mediated Superconductivity in the Hidden-Order Phase of URu2Si2
- Incommensurate short-range multipolar order parameter of phase II in Ce3Pd20Si6
- Exactly Solvable Kondo Lattice Model in Anisotropic Limit
- Distinct magnetic spectra in the hidden order and antiferromagnetic phases in URu2-xFexSi2
- Nuclear magnetic resonance studies of pseudospin fluctuations in URuSi
- Local observation of linear- superfluid density and anomalous vortex dynamics in URuSi
- Electronic nematicity in URu2Si2 revisited
- Emergent non-Fermi-liquid phenomena in multipolar quantum impurity systems
- Charge- Skyrmion condensate in a hidden order state
- Search for Multipolar Instability in URuSi Studied by Ultrasonic Measurements under Pulsed Magnetic Field
- Cyclotron resonance study of quasiparticle mass and scattering rate in the hidden-order and superconducting phases of URu2Si2
- ARPES/STM study of the surface terminations and 5-electron character in URuSi
- Field induced Lifshitz transition in UPtSi: Fermi surface under extreme conditions
- Structure of the normal state and origin of Schottky anomaly in the correlated heavy fermion superconductor UTe2
- Imprints of spin-orbit density wave in the hidden order state of URu2Si2
- Optical conductivity of URuSi in the Kondo Liquid and Hidden-Order Phases
- Signatures of hidden octupolar order from nonlinear Hall effects
- Detailed optical spectroscopy of the hybridization gap and the hidden order transition in high quality URuSi single crystals
- On the possibility to detect multipolar order in URuSi by the electric quadrupolar transition of resonant elastic X-ray scattering
- Structure of vortex-bound states in spin-singlet chiral superconductors
- Nature of the unconventional heavy fermion Kondo state in monolayer CeSiI
- Relation between - hybridization and magnetic ordering in CeRuAl: An optical conductivity study of Ce(RuRh)Al ()
- Weak-coupling superconductivity in an anisotropic three-dimensional repulsive Hubbard model
- Superconducting phase within the hidden-order state of the heavy-fermion material
- 3D Modulated Spin Liquid model applied to URuSi
- Hidden Charge Order in an Iron Oxide Square-Lattice Compound
- Magnetic field-Temperature Phase Diagram of CeCoSi Constructed by Specific Heat, Magnetoresistivity, and Magnetization Measurements for a Single Crystal
- Fermi surface in the hidden-order state of URuSi under intense pulsed magnetic fields up to 81~T
- Interplay of superexchange and vibronic effects in the hidden order of BaMgReO from first principles
- From local moment to mixed-valence regime in Ce(1-x)Yb(x)CoIn5 alloys
- Electronic structure of ThRu2Si2 studied by angle-resolved photoelectron spectroscopy: Elucidating the contribution of U 5f states in URu2Si2
- Hidden Order Signatures in the Antiferromagnetic Phase of U(RuFe)Si
- Thermodynamic Measurement of Angular Anisotropy at the Hidden Order Transition of URuSi
- Strong Correlation between Anomalous Quasiparticle Scattering and Unconventional Superconductivity in Hidden Order Phase of URuSi
- Unconventional Superconductivity arising from Multipolar Kondo Interactions
- Fermi-Surface Selective Determination of the -Factor Anisotropy in URuSi
- Electronic properties of a heavy-fermion U(Ru0.92Rh0.08)2Si2 single crystal
- Role of commensurate and incommensurate low-energy excitations in the paramagnetic to hidden-order transition of URuSi
- Exceptional Ising Magnetic Behavior of Itinerant Spin-polarized Carriers in URu2Si2
- Novel critical behavior of magnetization in URhSi:Similarities to uranium ferromagnetic superconductors UGe and URhGe
- A microscopic Kondo lattice model for the heavy fermion antiferromagnet CeIn
- Hybridization gap in the heavy-fermion compound UPdAl via quasiparticle scattering spectroscopy
- Thermodynamic evidence for broken fourfold rotational symmetry in the hidden-order phase of URu2Si2
- Observation of Electronic Structure Modification in the Hidden Order Phase of CeCoSi
- Inelastic x-ray scattering measurements on URu2Si2
- Hidden and Hastatic Orders in URu2Si2
- Basal-Plane Nonlinear Susceptibility: A Direct Probe of the Single-Ion Physics in URu2Si2
- Composite Orders and Lifshitz Transition of Heavy Electrons
- A "hidden" transition in heavy fermion compound CeB at 20 K?
- Modulated Spin Liquid and Magnetic Order from a Kondo-Heisenberg model applied to
- Magnetoelastic phenomena in antiferromagnetic uranium intermetallics: the case
- Simulating heavy fermion physics in optical lattice: Periodic Anderson model with harmonic trapping potential
- Magnetic structure in U(Ru0.92Rh0.08)2Si2 single crystal studied by neutron diffraction in static magnetic fields up to 24 T
- Magnetic-field-induced chiral hidden order in URu2Si2
- Angular Dependence of the High-Magnetic-Field Phase Diagram of URu2Si2
- Quantum Phase Transition in a Clean Two-Dimensional Electron System
- From hidden-order to antiferromagnetism: electronic structure changes in Fe-doped URuSi
- Electronic correlations of element cerium under high pressure
- Theory Perspective: SCES 2016
- Evolution of the propagation vector of antiferroquadrupolar phases in Ce3Pd20Si6 with magnetic field
- Tunneling spectroscopy of the superconducting state of URu2Si2
- Global perspectives of the bulk electronic structure of URuSi from angle-resolved photoemission
- Cascade of magnetic-field-driven quantum phase transitions in Ce3Pd20Si6
- Origin of gap-like behaviors in URuSi: Combined study via quasiparticle scattering spectroscopy and resistivity measurements
- An emerging global picture of heavy fermion physics
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- Efficient Method for Prediction of Meta-stable/Ground Multipolar Ordered States and its Application in Monolayer -\ce{RuX3} (X=Cl,I)
- Skyrmions in a density wave state: a mechanism for chiral superconductivity
- Spin liquid versus long range magnetic order in the frustrated body-centered tetragonal lattice
- Hidden order symmetry and superconductivity in URu2Si2 investigated by quasiparticle interference
- Spin liquid versus long range magnetic order in the frustrated body-centered tetragonal lattice
- In-plane anisotropic response to the uniaxial pressure in the hidden order state of URuSi
- Collective spin resonance excitation in the gapped itinerant multipole hidden order phase of URu2Si2
- Anisotropic Kondo pseudo-gap in URu2Si2
- Fe substitution in URuSi: singlet magnetism in an extended Doniach phase diagram
- Non-collinear magnetism engendered by a hidden another order
- Unfolding of antiferromagnetic phases and multicritical points in a two-orbital model for Uranium compounds under pressure and magnetic field
- Hidden spin-orbital hexagonal ordering induced by strong correlations in LiVS
- The role of band filling in tuning the high field phases of URu2Si2
- URuSi under intense magnetic fields: from hidden order to spin-density wave
- 29Si nuclear magnetic resonance study of URu2Si2 under pressure
- Recent Progress of Point Contact Spectroscopy as a Probe of Correlated Electron States
- Molecular orbital polarization in Na2Ti2Sb2O: microscopic route to metal-metal transition without spontaneous symmetry breaking
- Spins, electrons and broken symmetries: realizations of two channel Kondo physics
- Perfectly hidden order and Z2 confinement transition in a fully packed monopole liquid
- Nonlinear Transport Signatures of Hidden Symmetry Breaking in a Weyl Altermagnet
- The Fermi volume as a probe of hidden order
- Analysis of Magnetoacoustic Quadrupole Resonance and Application to Probe Quadrupole Degrees of Freedom in Quantum Magnets
- Textured Superconductivity in the Presence of a Coexisting Order: Ce115s and Other Heavy-Fermion Compounds
- Quasiparticle Relaxation Dynamics in URuFeSi Single Crystals
- Raman Active High Energy Excitations in URuSi
- Correlation and disorder-enhanced nematic spin response in superconductors with weakly broken rotational symmetry
- The hidden order in URu2Si2: Symmetry-induced anti-toroidal vortices
- Universal behavior in the Nernst effect of heavy fermion materials
- Novel universality class for the ferromagnetic transition in the low carrier concentration systems UTeS and USeS exhibiting large negative magnetoresistance
- Implications of the Measured Angular Anisotropy at the Hidden Order Transition of URu2Si2
- A Model for Metastable Magnetism in the Hidden-Order Phase of URu2Si2
- Chiral superconductivity in nematic states
- Study of the hidden-order of URu2Si2 by point contact tunnel junctions
- Hidden Anderson Localization in Disorder-Free Ising-Kondo Lattice
- One-dimensional moire charge density wave in the hidden order state of URu2Si2 induced by fracture
- Origin of the Large Anisotropy in the χ_3 Anomaly in URu_2Si_2
- Emergence of quadrupolar order under magnetic field in double perovskites
- Ungapped magnetic excitations beyond Hidden Order in URuReSi
- Nematic correlations and nematic Berezinskii-Kosterlitz-Thouless transition in spin-1 kagome lattice antiferromagnets
- f-electron charge densities probed using core level non-resonant inelastic x-ray scattering
- Collinear antiferromagnetic order in URuSiP revealed by neutron diffraction
- Field-induced phases in a heavy-fermion U(RuRh)Si single crystal
- Detecting the Largest Correlations using the Correlation Density Matrix: a Quantum Monte Carlo Approach
- Magnetic transitions induced by pressure and magnetic field in a two-orbital -electron model in cubic and tetragonal lattices
- Unified Theory of Hastatic order and Antiferromagnetism in URuSi
- Pseudo-chiral phonon splitting from octupolar magnetic order
- Evolution of magnetic bubble domains in the uniaxial ferromagnet CeRuGaB inferred from the Hall effect and ac magnetic susceptibility
- Large Kohn anomaly and phonon collapse induced by charge density wave in UPtSi
- Spin-orbit coupled periodic Anderson model: Kondo-Dirac semimetal and orbital-selective antiferromagnetic semimetal
- Multiple localized-itinerant dualities in magnetism of 5f electron systems. The case of UPtSi
- Two-orbital model for CeB