Truly local topological dynamics of driven defects in Chern insulator

Abstract

Robust zero modes supported by defects is one of the key features of topological matter. Its presence renders a system topologically inhomegeneuous, thus having no well-defined global topological invariant. The quantities labeling different areas of the sample according to their topological state were dubbed local topological markers. Here we study their dynamics and the possibility to control their distribution over the sample. We suggest a new perspective on the evolution of local markers. It gives a clear physical description of the markers evolution in terms of response functions and the ease of measurement. Furthermore, new markers' equations of motion are truly local, being ensured that the current of the marker exists and obeys the lattice continuity equation. The formalism presented does not rely on the single-particle quantities therefore might be extended to interacting systems.

References in corpus (33)

• CsV${}_3$Sb${}_5$: a ${\mathbb{Z}}_2$ topological kagome metal with a superconducting ground state
• Magnetic Weyl Semimetal Phase in a Kagome Crystal
• Discovery of unconventional chiral charge order in kagome superconductor KV3Sb5
• Roton pair density wave and unconventional strong-coupling superconductivity in a topological kagome metal
• Cascade of correlated electron states in a kagome superconductor CsV3Sb5
• Time-reversal symmetry-breaking charge order in a kagome superconductor
• Charge density waves and electronic properties of superconducting kagome metals
• Superconductivity in the ${\mathbb{Z}}_2$ kagome metal KV${}_3$Sb${}_5$
• Concurrence of anomalous Hall effect and charge density wave in a superconducting topological kagome metal
• Superconductivity and normal-state properties of kagome metal RbV3Sb5 single crystals
• Topological Weyl semimetals in the chiral antiferromagnetic materials Mn3Ge and Mn3Sn
• Chiral flux phase in the Kagome superconductor AV${}_3$Sb${}_5$
• Nature of unconventional pairing in the kagome superconductors AV${}_3$Sb${}_5$
• Electronic Nature of Charge Density Wave and Electron-Phonon Coupling in Kagome Superconductor KV${}_3$Sb${}_5$
• Rotation symmetry breaking in the normal state of a kagome superconductor KV3Sb5
• Fermi surface mapping and the nature of charge density wave order in the kagome superconductor CsV${}_3$Sb${}_5$
• Kagome superconductors AV${}_3$Sb${}_5$ (A=K, Rb, Cs)
• Three-state nematicity and magneto-optical Kerr effect in the charge density waves in kagome superconductors
• Charge density wave in kagome lattice intermetallic ScV6Sn6
• Doped Kagome System as Exotic Superconductor
• Emergence of new van Hove singularities in the charge density wave state of a topological kagome metal RbV3Sb5
• Absence of local moments in the kagome metal KV3Sb5 as determined by muon spin spectroscopy
• Quantum transport evidence of topological band structures of kagome superconductor CsV3Sb5
• Charge-density-wave-induced bands renormalization and energy gaps in a kagome superconductor RbV3Sb5
• Abundant lattice instability in kagome metal ScV${}_6$Sn${}_6$
• No observation of chiral flux current in the topological kagome metal CsV${}_3$Sb${}_5$
• Observation of electronic nematicity driven by three-dimensional charge density wave in kagome lattice KV${}_3$Sb${}_5$
• Electronic nematicity without charge density waves in titanium-based kagome metal
• The effect of the interlayer ordering on the Fermi surface of Kagome superconductor CsV${}_3$Sb${}_5$ revealed by quantum oscillations
• Origin of Charge Density Wave in Layered Kagome Metal CsV${}_3$Sb${}_5$
• Topological superconductivity and large spin Hall effect in the kagome family Ti6X4 (X = Bi, Sb, Pb, Tl, In)
• Emergent topological quantum orbits in the charge density wave phase of kagome metal CsV${}_3$Sb${}_5$
• Tunable spin Hall and spin Nernst effects in Dirac line-node semimetals XCuYAs (X=Zr, Hf; Y=Si, Ge)

Cited by in corpus (2)

• Tuning electronic pairing by uniaxial strain in kagome lattices
• MPd5 kagome superconductors studied by density functional calculations