Flat bands and entanglement in the Kitaev ladder
Ritu Nehra, Devendra Singh Bhakuni, Ajith Ramachandran, Auditya Sharma
Abstract
This paper uncovers the possibility of flat bands even in a very simple ladder system provided a superconducting term is present in the Hamiltonian. A Bogoliubov transformation enables the identification of the underlying compact localized eigenstates of the topological flat bands in the Kitaev ladder. The topological-to-trivial phase transition of the Kitaev ladder is characterised by means of entanglement entropy, featuring special properties at flat band conditions
Topics & Concepts
PhysicsQuantum entanglementSuperconductivityPhase (matter)Simple (philosophy)Quantum mechanicsEigenvalues and eigenvectorsTransformation (genetics)Term (time)Spectrum (functional analysis)Condensed matter physicsTopology (electrical circuits)Phase transitionTheoretical physicsPhase diagramAdvanced Condensed Matter PhysicsOrganic and Molecular Conductors ResearchTopological Materials and Phenomena