# 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)

@article{Lin2021ComplexCD,
title={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)},
author={Yu-Ping Lin and Rahul M. Nandkishore},
journal={Physical Review B},
year={2021}
}
• Published 2021
• Physics
• Physical Review B
We analyze how the real and imaginary charge density waves interplay at the Van Hove singularity on the hexagonal lattices. A phenomenological Ginzburg-Landau analysis indicates the formation of complex orders at all three momenta under a total phase condition. These complex orders break the rotation symmetry universally, since different complex phases are generally carried at the three momenta. A rich Haldane-model phase diagram of 3Q complex charge density waves is mapped out, where the… Expand

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#### References

SHOWING 1-10 OF 103 REFERENCES
Higher-order topological insulators from $3Q$ charge bond orders on hexagonal lattices: A hint to kagome metals
We show that unconventional boundary phenonema appear in the 3Q charge bond orders on hexagonal lattices. At the saddle points with Van Hove singularity, the 3Q orders can develop at three nestingExpand
Observation of Unconventional Charge Density Wave without Acoustic Phonon Anomaly in Kagome Superconductors AV3Sb5 ( A=Rb , Cs)
• Haoxiang Li, +14 authors H. Miao
• Physics
• Physical Review X
• 2021
The combination of nontrivial band topology and symmetry-breaking phases gives rise to novel quantum states and phenomena such as topological superconductivity, quantum anomalous Hall effect, andExpand
Competing phases of interacting electrons on triangular lattices in moiré heterostructures
• Physics
• Physical Review B
• 2019
We study the quantum many-body instabilities of interacting electrons with SU(2)$\times$SU(2) symmetry in spin and orbital degrees of freedom on the triangular lattice near van-Hove filling. Our workExpand
Chiral spin density wave, spin-charge-Chern liquid and d+id superconductivity in 1/4-doped correlated electronic systems on the honeycomb lattice
• Physics
• 2014
nite size systems (up to 32 sites) to sharply distinguish dierent quantum phases. Our results show that for 1 . U=t < 40 in the Hubbard model and for 0:1 < J=t < 0:80(2) in the t-J model, the quantumExpand
Magic of high-order van Hove singularity
• Physics, Medicine
• Nature Communications
• 2019
Yuan et al. predict significantly enhanced electron correlation effects due to an emergent high-order van Hove singularity in a two dimensional moiré superlattice. Expand
Particle-hole condensates of higher angular momentum in hexagonal systems
• Physics
• 2013
Hexagonal lattice systems (e.g., triangular, honeycomb, kagome) possess a multidimensional irreducible representation corresponding to d(x2-y2) and d(xy) symmetry. Consequently, variousExpand
Chiral twist on the high- Tc phase diagram in moiré heterostructures
• Physics
• Physical Review B
• 2019
We show that the large orbital degeneracy inherent in Moir\'e heterostructures naturally gives rise to a `high-$T_c$' like phase diagram with a chiral twist - wherein an exotic \$\textit{quantumExpand
Spontaneous time-reversal symmetry breaking for spinless fermions on a triangular lattice.
• Physics, Medicine
• Physical review letters
• 2013
It is found that the combination of interactions and kinetic frustration leads to spontaneous symmetry breaking in various ways, and the phase diagram is mapped out as it results from leading-order Ginzburg-Landau mean-field theory. Expand
Competing electronic orders on kagome lattices at van Hove filling
• Physics
• 2013
The electronic orders in Hubbard models on a kagome lattice at van Hove filling are of intense current interest and debate. We study this issue using the singular-mode functional renormalizationExpand
Chiral superconducting phase and chiral spin-density-wave phase in a Hubbard model on the kagome lattice
• Physics
• 2012
We study the electronic instabilities of the Hubbard model in the 1/6 hole-doped Kagome lattice using the variational cluster approach. The 1/6 hole doping is unique in the sense that the Fermi levelExpand