Spatial symmetry constraint of charge-ordered kagome superconductor CsV${}_3$Sb${}_5$

Abstract

Elucidating the symmetry of intertwined orders in exotic superconductors is at the quantum frontier. Recent surface sensitive studies of the topological kagome superconductor CsV${}_3$Sb${}_5$ discovered a cascade 4a${}_0$ superlattice below the charge density wave (CDW) ordering temperature, which can be related to the pair density modulations in the superconducting state. If the 4a${}_0$ phase is a bulk and intrinsic property of the kagome lattice, this would form a striking analogy to the stripe order and pair density wave discovered in the cuprate high-temperature superconductors, and the cascade ordering found in twisted bilayer graphene. High-resolution X-ray diffraction has recently been established as an ultra-sensitive probe for bulk translational symmetry-breaking orders, even for short-range orders at the diffusive limit. Here, combining high-resolution X-ray diffraction, scanning tunneling microscopy and scanning transmission electron microscopy, we demonstrate that the 4a${}_0$ superstructure emerges uniquely on the surface and hence exclude the 4a${}_0$ phase as the origin of any bulk transport or spectroscopic anomaly. Crucially, we show that our detected 2$\times$2$\times$2 CDW order breaks the bulk rotational symmetry to C2, which can be the driver for the bulk nematic orders and nematic surface superlattices including the 4a${}_0$ phase. Our high-resolution data impose decisive spatial symmetry constraints on emergent electronic orders in the kagome superconductor CsV${}_3$Sb${}_5$.

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• Quantum states and intertwining phases in kagome materials
• Intertwined magnetism and charge density wave order in kagome FeGe
• AV${}_3$Sb${}_5$ Kagome Superconductors: Progress and Future Directions
• Chiral kagome superconductivity modulations with residual Fermi arcs in KV3Sb5 and CsV3Sb5
• Coexistence of Multiple Stacking Charge Density Waves in Kagome Superconductor ${\mathrm{CsV}}_3{\mathrm{Sb}}_5$
• Spin-phonon coupling driven Charge density wave in a Kagome Magnet
• Competing superconductivity and charge-density wave in Kagome metal CsV3Sb5: evidence from their evolutions with sample thickness
• Theory of nematic charge orders in kagome metals
• Commensurate-to-incommensurate transition of charge-density-wave order and a possible quantum critical point in pressurized kagome metal CsV${}_3$Sb${}_5$
• Intertwined van-Hove Singularities as a Mechanism for Loop Current Order in Kagome Metals
• Evidence chain for time-reversal symmetry-breaking kagome superconductivity
• Small Fermi pockets intertwined with charge stripes and pair density wave order in a kagome superconductor
• Impact of Sb degrees of freedom on the charge density wave phase diagram of the kagome metal CsV${}_3$Sb${}_5$
• Surface-termination-dependent electronic states in kagome superconductors AV3Sb5 (A = K, Rb, Cs) studied by micro-ARPES
• The kagome Hubbard model from a functional renormalization group perspective
• Higher-order Oscillatory Planar Hall Effect in Topological Kagome Metal
• Absence of $E_{2g}$ nematic instability and dominant $A_{1g}$ response in the kagome metal CsV${}_3$Sb${}_5$
• Effect of nonhydrostatic pressure on the superconducting kagome metal CsV${}_3$Sb${}_5$
• Pressure evolution of electron dynamics in the superconducting kagome metal CsV${}_3$Sb${}_5$
• Phenomenology of bond and flux orders in kagome metals
• Kagome metals
• Evolution of charge density waves from three-dimensional to quasi-two-dimensional in Kagome superconductors Cs(V${}_{1-x}{M}_x$)${}_3$Sb${}_5$ ($M$ = Nb, Ta)
• Uniaxial strain tuning of charge modulation and singularity in a kagome superconductor
• Search for orbital magnetism in the kagome superconductor $\mathrm{Cs}{\mathrm{V}}_3\mathrm{S}{\mathrm{b}}_5$ using neutron diffraction
• Orbital-selective effect of spin reorientation on the Dirac fermions in a non-charge-ordered kagome ferromagnet Fe${}_3$Ge
• Dynamical decoding of the competition between charge density waves in a kagome superconductor
• Kagome materials $A$V${}_3$Sb${}_5$ ($A$=K,Rb,Cs): pairing symmetry and pressure-tuning studies
• Fully-gapped superconductivity with rotational symmetry breaking in pressurized kagome metal CsV${}_3$Sb${}_5$
• Quantifying magnetic field driven lattice distortions in kagome metals at the femto-scale using scanning tunneling microscopy
• Evidence for reduced periodic lattice distortion within the Sb-terminated surface layer of the kagome metal CsV${}_3$Sb${}_5$
• Theories for charge-driven nematicity in kagome metals
• Topological Superconducting States and Quasiparticle Transport on Kagome Lattice
• Interplay of superconductivity and charge-density-wave order in kagome materials
• Photoemission Insights to Electronic Orders in Kagome Superconductor AV3Sb5
• Local pairing versus bulk superconductivity intertwined by the charge density wave order in Cs(V${}_{1-x}$Ta${}_x$)${}_3$Sb${}_5$
• Charge-density wave fluctuation driven composite order in the layered Kagome Metals
• Metastability in Coexisting Competing Orders
• Charge Density Waves in the 2.5-Dimensional Quantum Heterostructure
• Frustrated phonon with charge density wave in vanadium Kagome metal
• Evolution of charge correlations in the hole-doped kagome superconductor CsV${}_{3-x}$Ti${}_x$Sb${}_5$
• Nanoscale strain manipulation of smectic susceptibility in kagome superconductors
• Nonequilibrium control of kagome metals
• Kohn-Luttinger-like mechanism for unconventional charge density waves
• Beyond kagome: $p$-bands in kagome metals
• Emblems of pair density waves: dual identity of topological defects and their transport signatures