Maximal distant entanglement in Kitaev tube

Abstract

We study the Kitaev model on a finite-size square lattice with periodic boundary conditions in one direction and open boundary conditions in the other. Based on the fact that the Majorana representation of Kitaev model is equivalent to a brick wall model under the condition $t=\Delta =\mu$, this system is shown to support perfect Majorana bound states which is in strong localization limit. By introducing edge-mode fermionic operator and pseudo-spin representation, we find that such edge modes are always associated with maximal entanglement between two edges of the tube, which is independent of the size of the system.

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Cited by in corpus (4)

• Majorana flat band edge modes of topological gapless phase in 2D Kitaev square lattice
• Dynamical Transition for a class of integrable models coupled to a bath
• $\eta$-pairing states in the Hubbard model with non-uniform Hubbard interaction
• Polarity of the fermionic condensation in the $p$-wave Kitaev model on a square lattice