Microscopic characteristics and tomography scheme of the local Chern marker

Abstract

The concept of the local Chern marker has gained a lot of attention especially in the field of ultracold quantum gases in optical lattices and artificial gauge fields. We investigate in further detail the microscopic real-space characteristics of the local Chern marker for the two-band Harper- Hofstadter-Hatsugai model and propose a tomographic scheme for the experimental detection of an approximate local Chern marker neglecting higher orders.

arXiv comment6 pages, 4 figures

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Cited by in corpus (13)

• Amorphous topological matter: theory and experiment
• Local Topological Markers in Odd Spatial Dimensions and Their Application to Amorphous Topological Matter
• Disorder-induced Chern insulator in Harper--Hofstadter--Hatsugai model
• Entanglement spectrum and entropy in Floquet topological matter
• Local Chern marker of smoothly confined Hofstadter fermions
• Bulk Localised Transport States in Infinite and Finite Quasicrystals via Magnetic Aperiodicity
• Localization of generalized Wannier bases implies Chern triviality in non-periodic insulators
• Interacting Local Topological Markers: A one-particle density matrix approach for characterizing the topology of interacting and disordered states
• Flow of unitary matrices: Real-space winding numbers in one and three dimensions
• Topological phases of amorphous matter
• Topological zero-modes of the spectral localizer of trivial metals
• Non-invasive measurement of currents in analog quantum simulators
• Purely linear response of the quantum Hall current to space-adiabatic perturbations