Edge states reconstruction from strong correlations in quantum spin Hall insulators

Abstract

We study quantum spin Hall insulators with local Coulomb interactions in the presence of boundaries using dynamical mean field theory. We investigate the different influence of the Coulomb interaction on the bulk and the edge states. Interestingly, we discover an edge reconstruction driven by electronic correlations. The reason is that the helical edge states experience Mott localization for an interaction strength smaller than the bulk one. We argue that the significance of this edge reconstruction can be understood by topological properties of the system characterized by a local Chern marker.

5 pages, 4 figures

References in corpus (16)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Nonlocal edge state transport in the quantum spin Hall state
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Quantum spin Hall effect in a transition metal oxide Na2IrO3
• Correlated Topological Insulators with Mixed Valence
• Simplified topological invariants for interacting insulators
• Correlation effects in two-dimensional topological insulators
• Edge Dynamics in a Quantum Spin Hall State: Effects from Rashba Spin-Orbit Interaction
• Topological Hofstadter Insulators in a Two-Dimensional Quasicrystal
• First order character and observable signatures of topological quantum phase transitions
• Renormalization group approach for the scattering off a single Rashba impurity in a helical liquid
• Spontaneous breakdown of topological protection in two dimensions
• Surface dead layer for quasiparticles near a Mott transition
• Electronic transport and dynamics in correlated heterostructures
• Buried topological edge state associated with interface between topological band insulator and Mott insulator

Cited by in corpus (34)

• Topological Marker Currents in Chern Insulators
• Flavour-selective localization in interacting lattice fermions via SU(N) symmetry breaking
• Realistic picture of helical edge states in HgTe quantum wells
• Interacting Hofstadter Interface
• Selective insulators and anomalous responses in correlated fermions with synthetic extra dimensions
• Unifying topological phase transitions in noninteracting, interacting, and periodically driven systems
• Coexistence of metallic edge states and anti-ferromagnetic ordering in correlated topological insulators
• Edge insulating topological phases in a two-dimensional long-range superconductor
• Exciton topology and condensation in a model quantum spin Hall insulator
• Microscopic characteristics and tomography scheme of the local Chern marker
• The Mott transition as a topological phase transition
• Non-Local Annihilation of Weyl Fermions in Correlated Systems
• Local marker for interacting topological insulators
• Edge stability and edge quantum criticality in 2D interacting topological insulators
• Manipulating topological-insulator properties using quantum confinement
• Magnetic field dependent equilibration of fractional quantum Hall edge modes
• A real-space many-body marker for correlated ${\mathbb{Z}}_2$ topological insulators
• Local Chern marker of smoothly confined Hofstadter fermions
• Spin, orbital and topological order in models of strongly correlated electrons
• Topological Mott transition in a Weyl-Hubbard model with dynamical mean-field theory
• Local vs non-local correlation effects in interacting quantum spin Hall insulators
• Stability of destructive interference antiresonances in electron transport through graphene nanostructures
• Robustness of Helical Edge States Under Edge Reconstruction
• Local spin Hall conductivity
• Topological Gap Opening without Symmetry Breaking from Dynamical Quantum Correlations
• 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
• Topological phases of amorphous matter
• Probing Green's Function Zeros by Co-tunneling through Mott Insulators
• Edge reconstruction of compressible Quantum Hall fluid in the filling fraction range 1/3 to 2/3
• Nonlinearity-driven Topology via Spontaneous Symmetry Breaking
• Strengthened correlations near [110] edges of $d$-wave superconductors in the t-J model with the Gutzwiller approximation
• Edge Reconstruction in a Quantum Spin Hall Insulator
• Spin-imbalance induced buried topological edge currents in Mott \& topological insulator heterostructures