- Letter
Scarred ferromagnetic phase in the long-range transverse-field Ising model
Phys. Rev. B 113, L100304 – Published 17 March, 2026
DOI: https://doi.org/10.1103/kv2w-mk4t
Abstract
We report the existence of a large set of ferromagnetic scarred states in the one-dimensional transverse-field Ising model with long-range interactions, in a regime with no ferromagnetic phase at finite temperature. These scarred states are distributed over different spectral regions, surrounded by a paramagnetic sea. We show that simple initial conditions, consisting of a few small magnetic domains, selectively populate these scarred states. This leads to the appearance of a special dynamical phase, which we call the scarred ferromagnetic phase. As a consequence, initial states with a small number of small magnetic domains evolve towards ferromagnetic equilibrium states, whereas initial states with larger domains or no magnetic structure relax to the expected thermal paramagnetic equilibrium state.
