Coexistence of metallic edge states and anti-ferromagnetic ordering in correlated topological insulators

Abstract

We investigate the emergence of anti-ferromagnetic ordering and its effect on the helical edge states in a quantum spin Hall insulator, in the presence of strong Coulomb interaction. Using dynamical mean-field theory, we show that the breakdown of lattice translational symmetry favours the formation of magnetic ordering with non-trivial spatial modulation. The onset of a non-uniform magnetization enables the coexistence of spin-ordered and topologically non-trivial states. An unambiguous signature of the persistence of the topological bulk property is the survival of bona fide edge states. We show that the penetration of the magnetic order is accompanied by the progressive reconstruction of gapless states in sub-peripherals layers, redefining the actual topological boundary within the system.

7 pages, 4 figures

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• Real-space analysis of Hatsugai-Kohmoto interaction
• Stability of destructive interference antiresonances in electron transport through graphene nanostructures
• Corroborating the bulk-edge correspondence in weakly interacting 1D topological insulators
• Robustness of Helical Edge States Under Edge Reconstruction
• Topological and magnetic properties of the interacting Bernevig-Hughes-Zhang model
• Random spin-orbit gates in the system of a Topological insulator and a Quantum dot
• Fate of gapless edge states in two-dimensional topological insulators with Hatsugai-Kohmoto interaction
• From explicit to spontaneous charge order and the fate of antiferromagnetic quantum Hall state
• Impact of correlations on topology in Kane-Mele model decorated with impurities
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• Interplay between edge states and charge density wave order in the Falicov-Kimball model on a Haldane ribbon
• Interfacial Line Energy of a Topological Phase
• Spin-imbalance induced buried topological edge currents in Mott \& topological insulator heterostructures