Complex charge density waves at Van Hove singularity on hexagonal lattices: Haldane-model phase diagram and potential realization in the kagome metals 
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=K, Rb, Cs)

Lin, Yu–Ping; Nandkishore, Rahul

doi:10.1103/physrevb.104.045122

Cited by 182 publications

(97 citation statements)

References 49 publications

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“…With extended Coulomb interactions considered, this sublattice interference mechanism will produce a chiral charge order with relative angular momentum [44]. Phenomenologically, a chiral charge order parameter has also been proposed to interact with the underlying topological band structure of this material to produce a large intrinsic anomalous Hall effect [28,[43][44][45], which is consistent with the transport data. Another anomalous feature of the chiral charge order is that it can carry orbital currents [28,43,44,46], analogous to the fundamental Haldane model [47] and Varma model [48].…”

Section: Discussionmentioning

confidence: 55%

“…The observation of electronic chiral charge order is unprecedented in the studying of quantum materials, and can be highly related to the electronic nature of kagome lattice at van Hove filling as in AV 3 Sb 5 [42][43][44][45][46]. In contrast to the honeycomb lattice, the kagome lattice has three sublattices, and the kagome lattice at van Hove filling exhibits unequal predominant sublattice occupancy [42].…”

Section: Discussionmentioning

confidence: 99%

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Electronic nature of chiral charge order in the kagome superconductor CsV3Sb5

et al. 2021

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Kagome superconductors with T C up to 7 K have been discovered for over 40 y. Recently, unconventional chiral charge order has been reported in kagome superconductor KV 3 Sb 5 , with an ordering temperature of one order of magnitude higher than the T C . However, the chirality of the charge order has not been reported in the cousin kagome superconductor CsV 3 Sb 5 , and the electronic nature of the chirality remains elusive. In this paper, we report the observation of electronic chiral charge order in CsV 3 Sb 5 via scanning tunneling microscopy (STM). We observe a 2 × 2 charge modulation and a 1 × 4 superlattice in both topographic data and tunneling spectroscopy. 2 × 2 charge modulation is highly anticipated as a charge order by fundamental kagome lattice models at van Hove filling, and is shown to exhibit intrinsic chirality. We find that the 1 × 4 superlattices form various small domain walls, and can be a surface effect as supported by our first-principles calculations. Crucially, we find that the amplitude of the energy gap opened by the charge order exhibits real-space modulations, and features 2 × 2 wave vectors with chirality, highlighting the electronic nature of the chiral charge order. STM study at 0.4 K reveals a superconducting energy gap with a gap size 2 = 0.85 meV, which estimates a moderate superconductivity coupling strength with 2 /k B T C = 3.9. When further applying a c-axis magnetic field, vortex core bound states are observed within this gap, indicative of clean-limit superconductivity.

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Section: Discussionmentioning

confidence: 55%

Section: Discussionmentioning

confidence: 99%

Electronic nature of chiral charge order in the kagome superconductor CsV3Sb5

et al. 2021

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“…On the one hand, Refs. [58][59][60] demonstrate a rich Haldane-model phase diagram of the multi-component hexagonal (3Q) charge density waves, where they find trivial and Chern insulator phases with real or imaginary orders (such as the chiral flux phase mentioned previously). In particular, the coupled mean field theory of spin and charge orders describes the topological charge density wave found with STM as being identified with the complex orders of the Chern insulator phase and the rotation symmetry breaking results from secondary orders from the complex order ground states.…”

Section: Theoretical Workmentioning

confidence: 93%

Electronic properties of correlated kagomé metals AV$_3$Sb$_5$(A = K, Rb, Cs): A perspective

Nguyen,

2021

Preprint

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Following the discovery of a new family of kagomé prototypical materials with structure AV3Sb5 (A = K, Rb, Cs), there has been heightened interest in studying correlation-driven electronic phenomena in these kagomé lattice systems. The study of these materials has gone beyond magnetotransport measurements to reveal exciting features such as Dirac bands, anomalous Hall effect, bulk superconductivity with Tc ∼ 0.9 K-2.5 K, and the observation of charge density wave instabilities which suggests an intertwining of topological physics and new quantum orders. Moreover, very recent works on numerous types of experiments have appeared further examining the unconventional superconductivity and the exotic electronic states found within these kagomé materials. Theories on the strong interactions that play a role in these systems have been proposed to shed light on the nature of these topological charge density waves. In this brief review, we summarize these recent experimental findings and theoretical proposals to connect them with the concepts of topological physics and strongly-correlated electron systems.

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“…For example, full structural relaxation results in the unit cell volume V = 237.7 Å 3 and c/a = 1.675 with the PBE functional or V = 240.8 Å 3 and c/a = 1.715 with the D3 correction [36], to be compared with the experimental structural parameters V = 243.4 Å 3 and c/a = 1.694 at ambient pressure [5]. The proximity of the saddle points to the Fermi level is deemed crucial for the electronic instability and CDW formation [19,37,38]. Using experimental structural parameters eliminates any ambiguity in the positioning of these saddle points relative to E F .…”

Section: Methodsmentioning

confidence: 99%

Role of Sb in the superconducting kagome metal CsV$_3$Sb$_5$ revealed by its anisotropic compression

Tsirlin¹,

Fertey²,

Ortiz³

et al. 2022

SciPost Phys.

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Pressure evolution of the superconducting kagome metal CsV_33Sb_55 is studied with single-crystal x-ray diffraction and density-functional band-structure calculations. A highly anisotropic compression observed up to 5 GPa is ascribed to the fast shrinkage of the Cs–Sb distances and suppression of Cs rattling motion. This prevents Sb displacements required to stabilize the three-dimensional charge-density-wave (CDW) order and elucidates the disappearance of the CDW already at 2 GPa despite only minor changes in the electronic structure of the normal state. At higher pressures, vanadium bands still change only marginally, whereas antimony bands undergo a major reconstruction caused by the gradual formation of the interlayer Sb–Sb bonds. Our results exclude pressure tuning of vanadium kagome bands as the main mechanism for the non-trivial evolution of superconductivity in real-world kagome metals. Concurrently, we establish the central role of Sb atoms in the stabilization of a three-dimensional CDW and Fermi surface reconstruction.

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Complex charge density waves at Van Hove singularity on hexagonal lattices: Haldane-model phase diagram and potential realization in the kagome metals AV3Sb5 ( A =K, Rb, Cs)

Cited by 182 publications

References 49 publications

Electronic nature of chiral charge order in the kagome superconductor CsV3Sb5

Electronic nature of chiral charge order in the kagome superconductor CsV3Sb5

Electronic properties of correlated kagomé metals AV$_3$Sb$_5$(A = K, Rb, Cs): A perspective

Role of Sb in the superconducting kagome metal CsV$_3$Sb$_5$ revealed by its anisotropic compression

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