Elastic properties of hidden order in URu${}_{\text{2}}$Si${}_{\text{2}}$ are reproduced by a staggered nematic

Abstract

We develop a phenomenological mean field theory describing the hidden order phase in URu${}_{\text{2}}$Si${}_{\text{2}}$ as a nematic of the ${\text{B}}_{\text{1g}}$ representation staggered along the $c$-axis. Several experimental features are reproduced by this theory: the topology of the temperature--pressure phase diagram, the response of the elastic modulus $(C_{11}-C_{12})/2$ above the transition at ambient pressure, and orthorhombic symmetry breaking in the high-pressure antiferromagnetic phase. In this scenario, hidden order is characterized by broken rotational symmetry that is modulated along the $c$-axis, the primary order of the high-pressure phase is an unmodulated nematic, and the triple point joining those two phases with the high-temperature paramagnetic phase is a Lifshitz point.

References in corpus (28)

• Long-range incommensurate charge fluctuations in (Y,Nd)Ba2Cu3O(6+x)
• Critical Exponents of the N-vector model
• Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders
• Arrested Kondo effect and hidden order in URu_2Si_2
• Gapped itinerant spin excitations account for missing entropy in the hidden order state of URu${}_2$Si${}_2$
• Bounding the pseudogap with a line of phase transitions in YBCO cuprate superconductors
• Emergent Rank-5 'Nematic' Order in URu2Si2
• Theory of Unconventional Spin Density Wave: A Possible Mechanism of the Micromagnetism in U-based Heavy Fermion Compounds
• Hastatic Order in URu2Si2
• Similarity of Fermi Surface in the Hidden Order State and in the Antiferromagnetic State of URu2Si2
• Chirality density wave of the 'hidden order' phase in URu${}_2$Si${}_2$
• Group theory and octupolar order in URu2Si2
• Why the hidden order in URu2Si2 is still hidden - one simple answer
• Itinerant magnetic multipole moments of rank five, triakontadipoles, as the hidden order in URu${}_2$Si${}_2$
• On the Hidden Order in URu${}_2$Si${}_2$ --- Antiferro Hexadecapole Order and its Consequences
• Photoemission Imaging of 3D Fermi Surface Pairing at the Hidden Order Transition in URu2Si2
• Evidence for a nematic component to the Hidden Order parameter in URu2Si2 from differential elastoresistance measurements
• Precise study of the resonance at Q0=(1,0,0) in URu2Si2
• Hidden and antiferromagnetic order as a rank-5 superspin in URu2Si2
• Cyclotron Resonance in the Hidden-Order Phase of URu2Si2
• Avoided Valence Transition in a Plutonium Superconductor
• One-Component Order Parameter in URu${}_2$Si${}_2$ Uncovered by Resonant Ultrasound Spectroscopy and Machine Learning
• Signatures of hidden order symmetry in torque oscillations, elastic constant anomalies and field induced moments in URu2Si2
• Resolution of Entropy $\ln \sqrt{2}$ by Ordering in Two-Channel Kondo Lattice
• Γ3-type Lattice Instability and the Hidden Order of URu2Si2
• Pressure-Induced Rotational Symmetry Breaking in URu${}_2$Si${}_2$
• Ultrasonic Study of the Hidden Order and Heavy-Fermion State in URu${}_2$Si${}_2$ with Hydrostatic Pressure, Rh-doping, and High-Magnetic Fields
• Origin of the Large Anisotropy in the χ_3 Anomaly in URu_2Si_2