Commensurate-to-incommensurate transition of charge-density-wave order and a possible quantum critical point in pressurized kagome metal CsV${}_3$Sb${}_5$

Abstract

Clarifying the interplay between charge density waves (CDWs) and superconductivity is important in the kagome metal CsV${}_3$Sb${}_5$, and pressure ($P$) can play a crucial role. Here, we present ${}^{121/123}$Sb nuclear quadrupole resonance (NQR) measurements under hydrostatic pressures up to 2.43 GPa in CsV${}_3$Sb${}_5$ single crystals. We demonstrate that the CDW gradually changes from a commensurate modulation with a star-of-David (SoD) pattern to an incommensurate one with a superimposed SoD and Tri-hexagonal (TrH) pattern stacking along the $c$-axis. Moreover, the linewidth $\delta \nu$ of ${}^{121/123}$Sb-NQR spectra increases with cooling down to $T_{\mathrm{CDW}}$, indicating the appearance of a short-range CDW order due to CDW fluctuations pinned by quenched disorders. The $\delta \nu$ shows a Curie-Weiss temperature dependence and tends to diverge at $P_{\mathrm{c}}\sim$ 1.9 GPa, suggesting that a CDW quantum critical point (QCP) exists at $P_{\mathrm{c}}$ where $T_{\mathrm{c}}$ shows the maximum. For $P>P_{\mathrm{c}}$, spin fluctuations are enhanced when the CDW is suppressed. Our results suggest that the maximal $T_{\mathrm{c}}$ at $P_{\mathrm{c}}\sim$ 1.9 GPa is related to the CDW QCP and the presence of spin fluctuations prevent the $T_{\mathrm{c}}$ from a rapid decrease otherwise after the CDW is completely suppressed.

17 pages, 8 figures

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• Pressure-dependent Electronic Superlattice in the Kagome-Superconductor CsV${}_3$Sb${}_5$
• Pressure evolution of electron dynamics in the superconducting kagome metal CsV${}_3$Sb${}_5$
• Microscopic evidence of charge- and spin-density waves in La${}_3$Ni${}_2$O${}_{7-\delta }$ revealed by ${}^{139}$La-NQR
• Large Fermi surface in pristine kagome metal CsV${}_3$Sb${}_5$ and enhanced quasiparticle effective masses
• $d$-wave superconductivity as a model for diborides apart MgB${}_2$
• Two-dimensional phase diagram of the charge density wave in doped CsV${}_3$Sb${}_5$
• 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${}_5$
• Robust Charge-Density Wave Correlations in Optimally-Doped YBa2Cu3Oy
• Discovery of a new phase in thin flakes of KV${}_3$Sb${}_5$ under pressure
• Quantum Phase Transition as a Promising Route to Enhance the Critical Current in Kagome Superconductor CsV${}_3$Sb${}_5$
• Charge-density wave fluctuation driven composite order in the layered Kagome Metals
• Impact of Charge Density Waves on Superconductivity and Topological Properties in AV${}_3$Sb${}_5$ Kagome Superconductors
• Cluster charge-density-wave glass in hydrogen-intercalated TiSe${}_2$
• Evolution of charge correlations in the hole-doped kagome superconductor CsV${}_{3-x}$Ti${}_x$Sb${}_5$
• Strain-Tuned Nodal Superconductivity in the Charge-Ordered Kagome Metal CsV${}_3$Sb${}_5$
• Microscopic evidence for imaginary charge density wave in a kagome metal
• Intertwined Charge and Spin Density Waves in Trilayer Nickelate La${}_4$Ni${}_3$O${}_{10}$ Revealed by ${}^{139}$La NQR
• Reaching Quantum Critical Point by Adding Non-magnetic Disorder in Single Crystals of Superconductor $({\text{Ca}}_x{\text{Sr}}_{1-x}{)}_3{\text{Rh}}_4{\text{Sn}}_{13}$
• Commensurate to Incommensurate Transition of Three Dimensional Charge Density Waves