Spin-orbit density wave induced hidden topological order in URu2Si2

Abstract

The conventional order parameters in quantum matters are often characterized by 'spontaneous' broken symmetries. However, sometimes the broken symmetries may blend with the invariant symmetries to lead to mysterious emergent phases. The heavy fermion metal URu2Si2 is one such example, where the order parameter responsible for a second-order phase transition at Th = 17.5 K has remained a long-standing mystery. Here we propose via ab-initio calculation and effective model that a novel spin-orbit density wave in the f-states is responsible for the hidden-order phase in URu2Si2. The staggered spin-orbit order 'spontaneous' breaks rotational, and translational symmetries while time-reversal symmetry remains intact. Thus it is immune to pressure, but can be destroyed by magnetic field even at T = 0 K, that means at a quantum critical point. We compute topological index of the order parameter to show that the hidden order is topologically invariant. Finally, some verifiable predictions are presented.

(v2) Substantially modified from v1, more calculation and comparison with experiments are included

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Cited by in corpus (27)

• Colloquium: Topological Band Theory
• 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
• Photoemission Imaging of 3D Fermi Surface Pairing at the Hidden Order Transition in URu2Si2
• Intermediate Coupling Model of the Cuprates
• Weyl semimetals and superconductors designed in an orbital selective superlattice
• Formation of the coherent heavy fermion liquid at the 'hidden order' transition in URu2Si2
• Classification of engineered topological superconductors
• Spectroscopic determination of the atomic f-electron symmetry underlying hidden order in URu${}_2$Si${}_2$
• Observation of correlated spin-orbit order in a strongly anisotropic quantum wire system
• Symmetry and correlations underlying Hidden Order in URu2Si2
• Two distinct topological phases in the mixed valence compound YbB6 and its differences from SmB6
• Adiabatic transformation as a search tool for new topological insulators: distorted ternary Li${}_2$AgSb-class semiconductors and related compounds
• Absence of a static in-plane magnetic moment in the "hidden-order" phase of URu${}_2$Si${}_2$
• Chiral charge as hidden order parameter in URu${}_2$Si${}_2$
• Nuclear magnetic resonance studies of pseudospin fluctuations 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
• Interaction induced staggered spin-orbit order in two-dimensional electron gas
• Superconducting phase within the hidden-order state of the heavy-fermion material $\mathrm{UR}{\mathrm{u}}_2\mathrm{S}{\mathrm{i}}_2$
• Distinct itinerant spin-density waves and local-moment antiferromagnetism in an intermetallic ErPd${}_2$Si${}_2$ single crystal
• Exceptional Ising Magnetic Behavior of Itinerant Spin-polarized Carriers in URu2Si2
• Imaging the formation of high-energy dispersion anomalies in the actinide UCoGa${}_5$
• Self-consistent spin-fluctuation spectrum and correlated electronic structure of actinides
• Orbital order and Hund's rule frustration in Kondo lattices
• Spin-orbit density wave: A new phase of matter applicable to the hidden order state of URu2Si2