arXiv subjects

Zi-Zhong Liu

Publications and source records attributed to Zi-Zhong Liu.

2 recordsLinked to original sources

arXiv2019

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

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.

cond-mat.stat-mech↗

arXiv2017

Energy spectrum and critical exponents of the free parafermion $Z_N$ spin chain

Results are given for the ground state energy and excitation spectrum of a simple $N$-state $Z_N$ spin chain described by free parafermions. The model is non-Hermitian for $N \ge 3$ with a real ground state energy and a complex excitation spectrum. Although having a simpler Hamiltonian than the superintegrable chiral Potts model, the model is seen to share some properties with it, e.g., the specific heat exponent $α=1-2/N$ and the anisotropic correlation length exponents $ν_\parallel =1$ and $ν_\perp=2/N$.

cond-mat.stat-mech↗