Dimerization in the Ising ladder with four-spin plaquette interaction induced by a random transverse field
Phys. Rev. B 113, 214427 – Published 10 June, 2026
DOI: https://doi.org/10.1103/bwfs-cxl9
Abstract
The current interest in dimerization spans several scientific areas. In quantum computation, chains of spin dimers contribute as a medium of coherent quantum state transfer, which is essential for the storage and processing of quantum information. In biophysics, molecular dimers are widely used to understand the dynamics of proteins and DNA. In this sense, we believe it might be of interest to examine the dynamics of spin models with multiple interactions in which a dimerization phase can be induced. In this work, we investigate the dynamics of the spin-1/2 Ising ladder with four-spin plaquette interaction subjected to a random transverse magnetic field at the infinite-temperature limit. The system dynamics is analyzed using the recurrence relations method, which enables the calculation of time-dependent spin autocorrelation functions and their associated spectral densities, considering the effects of randomness in the magnetic field and the multispin interaction strength. Our results reveal that the disorder leads to the emergence of multipeak structures in the spectral density, suggesting field-induced dimerized-spin states, and a dynamical transition occurs as the disorder increases. We highlight interesting qualitative analogies between our findings and the dimerization process in quantum computing and biophysics.
