Fredholm homotopies for strongly-disordered 2D insulators

DOI10.1007/s00220-022-04511-wOpenAlexW3205747093MaRDI QIDQ2684871

Yanyan Li

Publication date: 17 February 2023

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.07068

Mathematics Subject Classification ID

Equilibrium statistical mechanics (82Bxx) Applications of statistical mechanics to specific types of physical systems (82Dxx) Applications of quantum theory to specific physical systems (81Vxx)

Related Items

Manifestation of the topological index formula in quantum waves and geophysical waves, On the Bott index of unitary matrices on a finite torus

Cites Work

• Unnamed Item
• Unnamed Item
• On the \(K\)-theoretic classification of topological phases of matter
• \(\mathbb Z_{2}\)-indices and factorization properties of odd symmetric Fredholm operators
• Index pairings in presence of symmetries with applications to topological insulators
• The \(K\)-theoretic bulk-edge correspondence for topological insulators
• Topology and analysis. The Atiyah-Singer index formula and gauge- theoretic physics. Transl. from the German by D. D. Bleecker and A. Mader
• Anyons in an exactly solved model and beyond
• Charge deficiency, charge transport and comparison of dimensions
• The index of a pair of projections
• On the extended nature of edge states of quantum Hall Hamiltonians
• The bulk-edge correspondence for disordered chiral chains
• Equality of bulk and edge Hall conductance revisited
• Two-dimensional time-reversal-invariant topological insulators via Fredholm theory
• Localisation for non-monotone Schrödinger operators
• Tight-binding reduction and topological equivalence in strong magnetic fields
• The topology of mobility-gapped insulators
• On the \(C^*\)-algebraic approach to topological phases for insulators
• Strongly disordered Floquet topological systems
• Dynamical delocalization in random Landau Hamiltonians
• Index theory for skew-adjoint Fredholm operators
• Operators with singular continuous spectrum. IV: Hausdorff dimensions, rank one perturbations, and localization
• Equality of the bulk and edge Hall conductances in a mobility gap
• A non-commutative framework for topological insulators
• Localization bounds for an electron gas
• The noncommutative geometry of the quantum Hall effect
• Simultaneous quantization of edge and bulk Hall conductivity
• The noncommutative index theorem and the periodic table for disordered topological insulators and superconductors
• On stable quantum currents
• A note on the Hilbert transform