A complete characterization of the spectrum of the Kitaev model on spin ladders

Abstract

We study the Kitaev model on a ladder network and find the complete spectrum of the Hamiltonian in closed form. Closed and manageable forms for all eigenvalues and eigenvectors, allow us to calculate the partition function and averages of non-local operators in addition to the reduced density matrices of different subsystems at arbitrary temperatures. It is also briefly discussed how these considerations can be generalized to more general lattices, including three-leg ladders and two dimensional square lattices.

20 pages, 7 figures, more references added

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Cited by in corpus (11)

• Classical Heisenberg spins on a hexagonal lattice with Kitaev couplings
• Anyonic self-induced disorder in a stabilizer code: quasi-many body localization in a translational invariant model
• Spin-1 Kitaev model in one dimension
• Generalized Toric Codes Coupled to Thermal Baths
• On the robustness of topological quantum codes: Ising perturbation
• The Kitaev-Ising model, Transition between topological and ferromagnetic order
• Topological spin liquids in the ruby lattice with anisotropic Kitaev interactions
• Compass and Kitaev models -- Theory and Physical Motivations
• Quantum phase transition as an interplay of Kitaev and Ising interactions
• Classification of matrix product ground states corresponding to one dimensional chains of two state sites of nearest neighbor interactions
• The quantum (non-Abelian) Potts model and its exact solution