Dynamical spin-nematic correlation in a transverse field Ising chain with non-Hermitian Gamma interaction
Phys. Rev. B 114, 214304 – Published 14 October, 2026
DOI: https://doi.org/10.1103/tshd-jsf4
Abstract
We investigate the effect of the non-Hermitian Gamma interaction on the phase transitions and magnetic correlations in the transverse field Ising chain. We demonstrate that apart from the gapped antiferromagnetic and paramagnetic phases, there is a gapless phase induced by parity-time symmetry breaking, where the system exhibits long-range and short-range spin-nematic correlations in different regions, divided by the quantum critical line determined from the correlation function and the subsystem entanglement entropy. Furthermore, we reveal that the parity-time symmetry breaking leads to the emergence of dynamical spin-nematic correlation, which also provides a way of characterizing the spin-nematic map through nonequilibrium dynamics. Our findings show that rich quantum phases stem from the competition among the Ising interaction, transverse field, and non-Hermitian Gamma interaction, and provide a scheme for generating spin-nematic correlation in the spin chain.
