Robust Bulk States

Abstract

We predict topologically robust zero energy bulk states in a disordered tight binding lattice. We explore a new kind of order and discuss that zero energy states exist in a system iff its Hamiltonian is noninvertible. We show that they are robust against any kind of disorder as long as the disordered Hamiltonian is noninvertible, too.

5 pages

References in corpus (7)

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• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Edge states and topological invariants of non-Hermitian systems
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
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Cited by in corpus (5)

• Fast and robust quantum state transfer in a topological Su-Schrieffer-Heeger chain with Next-to-Nearest-Neighbour interactions
• Non-Hermitian anomalous skin effect
• Electronic states of pseudospin-1 fermions in $\alpha -{\mathcal{T}}_3$ lattice ribbons in a magnetic field
• Anomalous features of non-Hermitian topological states
• Generation of isolated flat bands with tunable numbers through Moiré engineering