Some ground-state expectation values for the free parafermion Z(N) spin chain

Abstract

We consider the calculation of ground-state expectation values for the non-Hermitian Z(N) spin chain described by free parafermions. For N=2 the model reduces to the quantum Ising chain in a transverse field with open boundary conditions. Use is made of the Hellmann-Feynman theorem to obtain exact results for particular single site and nearest-neighbour ground-state expectation values for general N which are valid for sites deep inside the chain. These results are tested numerically for N=3, along with how they change as a function of distance from the boundary.

arXiv comment17 pages, 4 figures; extra references

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Cited by in corpus (7)

• Free fermionic and parafermionic quantum spin chains with multispin interactions
• Integrable quantum spin chains with free fermionic and parafermionic spectrum
• Generalized Quantum Geometric Tensor in a Non-Hermitian Exciton-Polariton System
• Ising analogues of quantum spin chains with multispin interactions
• Exceptional Points in the Baxter-Fendley Free Parafermion Model
• A Brief History of Free Parafermions
• Critical behavior of dirty parafermionic chains