Local and nonlocal order parameters in the Kitaev chain

We have calculated order parameters for the phases of the Kitaev chain with interaction and dimerization at a special symmetric point applying the Jordan-Wigner and other duality transformations. We use string order parameters (SOPs) defined via the correlation functions of the Majorana string opera...

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Bibliographic Details
Published in:Physical review. B 2018-02, Vol.97 (8), Article 085131
Main Author: Chitov, Gennady Y.
Format: Article
Language:English
Subjects:
Chains
Dimerization
Hamiltonian functions
Ising model
Order parameters
Phase diagrams
Phase transitions
Phases
Symmetry
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Summary:We have calculated order parameters for the phases of the Kitaev chain with interaction and dimerization at a special symmetric point applying the Jordan-Wigner and other duality transformations. We use string order parameters (SOPs) defined via the correlation functions of the Majorana string operators. The SOPs are mapped onto the local order parameters of some dual Hamiltonians and easily calculated. We have shown that the phase diagram of the interacting dimerized chain comprises the phases with the conventional local order as well as the phases with nonlocal SOPs. From the results for the critical indices, we infer the two-dimensional Ising universality class of criticality at the particular symmetry point where the model is exactly solvable.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.97.085131