Competing electronic orders on kagome lattices at van Hove filling
By Wan-Sheng Wang, Zhenglu Li, Y. Xiang, Qiang-Hua Wang. 2012
329 citations recorded by the source corpus.
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 renormalization group theory. We discover a rich variety of electronic instabilities under short-range interactions. With increasing on-site repulsion $U$, the system develops successively ferromagnetism, intra-unit-cell antiferromagnetism, and charge bond order. With nearest-neighbor Coulomb interaction $V$ alone ($U=0$), the system develops intra-unit-cell charge density wave order for small $V$, $s$-wave superconductivity for moderate $V$, and the charge density wave order appears again for even larger $V$. With both $U$ and $V$, we also find spin bond order and chiral ${d}_{{x}^{2}\ensuremath{-}{y}^{2}}+i{d}_{xy}$ superconductivity in some particular regimes of the phase diagram. We find that the $s$-wave superconductivity is a result of charge density wave fluctuations and the squared logarithmic divergence in the pairing susceptibility. On the other hand, the $d$-wave superconductivity follows from bond order fluctuations that avoid the matrix element effect. The phase diagram is vastly different from that in honeycomb lattices because of the geometrical frustration in the kagome lattice.
Subfields: Condensed Matter Physics, Electronic, Optical and Magnetic Materials
View Paper: https://www.semanticscholar.org/paper/d6f2f2f467594fa1288df0eff7387b8fc76f1f1e
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In Electronic, Optical and Magnetic Materials
Citations in the corpus
- Observation of Unconventional Charge Density Wave without Acoustic Phonon Anomaly in Kagome Superconductors AV3Sb5 ( A=Rb , Cs) (2021, background): “1(b)] and (ii) the saddle points at the M point [4, 5, 9, 10].”
- Superconductivity in the Z2 kagome metal KV3Sb5 (2020, background): “Between these two extremes, kagome metals are predicted to support a wide array of instabilities, ranging from bond density wave order [6, 7], charge fractionalization [8, 9], spin liquid states [10], charge density waves [11] and superconductivity [6, 12].”
- Quantum states and intertwining phases in kagome materials (2023, background): “…= 0 1 or very small) tend to favour magnetism (such as ferromagnetic or antiferromagnetic order) with strong spin fluctuations and chiral spin order 43,103 , whereas CDWs, nematic orders and s -wave superconductivity are favoured by long-range correlations from a large U 1 (where U 0 is zero or…”