Charge order breaks time-reversal symmetry in CsV${}_3$Sb${}_5$

Abstract

The recently discovered vanadium-based kagome metals $A$V${}_3$Sb${}_5$ ($A$~=~K,~Rb,~Cs) exhibit superconductivity at low-temperatures and charge density wave (CDW) order at high-temperatures. A prominent feature of the charge ordered state in this family is that it breaks time-reversal symmetry (TRSB), which is connected to the underlying topological nature of the band structure. In this work, a powerful combination of zero-field and high-field muon-spin rotation/relaxation is used to study the signatures of TRSB of the charge order in CsV${}_3$Sb${}_5$, as well as its anisotropic character. By tracking the temperature evolution of the in-plane and out-of-plane components of the muon-spin polarization, an enhancement of the internal field width sensed by the muon-spin ensemble was observed below $T_{\mathrm{TRSB}}=T_{\mathrm{CDW}}\simeq 95$~K. Additional increase of the internal field width, accompanied by a change of the local field direction at the muon site from the $ab$-plane to the $c$-axis, was detected below $T^{\ast }\simeq 30$~K. Remarkably, this two-step feature becomes well pronounced when a magnetic field of 8~T is applied along the crystallographic $c-$axis, thus indicating a field-induced enhancement of the electronic response at the CDW transition. These results point to a TRSB in CsV${}_3$Sb${}_5$ by charge order with an onset of $\simeq 95$~K, followed by an enhanced electronic response below $\simeq 30$~K. The observed two-step transition is discussed within the framework of different charge-order instabilities, which, in accordance with density functional theory calculations, are nearly degenerate in energy.

10 pages, 4 figures

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• Chiral Broken Symmetry Descendants of the Kagomé Lattice Chiral Spin Liquid
• Origin of anomalous magnetotransport in kagome superconductors AV${}_3$Sb${}_5$ (A=K,Rb,Cs)
• Condensation of preformed charge density waves in kagome metals
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• Kagome materials $A$V${}_3$Sb${}_5$ ($A$=K,Rb,Cs): pairing symmetry and pressure-tuning studies
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• Real-space Loop Current Pattern in Time-reversal-symmetry Breaking Phase in Kagome Metals
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• Flat bands and distinct density wave orders in correlated Kagome superconductor CsCr${}_3$Sb${}_5$
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• Quantifying magnetic field driven lattice distortions in kagome metals at the femto-scale using scanning tunneling microscopy
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• Origin of switchable quasiparticle-interference chirality in loop-current phase of kagome metals measured by scanning-tunneling-microscopy
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• Cu2OSeO3 Turns Trigonal with Structural Transformation and Implications for Skyrmions
• A two-state generalisation of the strong collision model
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• Giant Impurity Effects on Charge Loop Current Order States in Kagome Metals
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