Topological insulator on the kagome lattice

By Huaiming Guo, M. Franz. 2009

345 citations recorded by the source corpus.

Itinerant electrons in a two-dimensional kagome lattice form a Dirac semimetal, similar to graphene. When lattice and spin symmetries are broken by various periodic perturbations this semimetal is shown to spawn interesting nonmagnetic insulating phases. These include a two-dimensional topological insulator with a nontrivial ${\text{Z}}_{2}$ invariant and robust gapless edge states, as well as dimerized and trimerized ``Kekul\'e'' insulators. The latter two are topologically trivial but the Kekul\'e phase possesses a complex order parameter with fractionally charged vortex excitations. A charge-density wave is shown to couple to the Dirac fermions as an effective axial gauge field.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/f0bda8b1a1aad9a4268fa38e5424925d49ed550f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

In Condensed Matter Physics

Citations in the corpus

Theory of the charge density wave in AV3Sb5 kagome metals (2021, background): “The kagome lattice offers a powerful framework to investigate several intriguing physical phenomena, such as frustrated magnetism and spin liquids [1], flat bands [2– 4], and Dirac points [5, 6].”
Twofold van Hove singularity and origin of charge order in topological kagome superconductor CsV3Sb5 (2021, background): “CsV3Sb5 addressing following central questions in this field: (1) whether the singularity of the kagome band structure is truly responsible for the observed electronic symmetry breaking in AV3Sb5; and (2) what vHs flavor (p or m) has a prominent role in driving the Fermi surface instability.”
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].”
Massive Dirac fermions in a ferromagnetic kagome metal (2017, background): “Theoretical work has predicted that the kagome lattice may also host Dirac electronic states [8] that could lead to topological [9] and Chern [10] insulating phases, but these have evaded experimental detection to date.”
Quantum states and intertwining phases in kagome materials (2023, background): “On including SOC, electronic interaction or orbital degrees of freedom into the breathing kagome lattice or dimerized lattice, various topological states can be induced, including a 2 Z topological insulator and non-trivial Chern phase near the Dirac band and flat band 46,47,60 .”