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arXiv · 2507.16421

Scarred ferromagnetic phase in the long-range transverse-field Ising model

Ángel L. Corps·Armando Relaño
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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 paramagnetic states. We show that simple initial conditions, consisting in a few small magnetic domains, selectively populate these scarred states. This leads to the appearance of a special dynamical phase, which we call 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.

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Ángel L. Corps, Armando Relaño. 2025-07-22. Scarred ferromagnetic phase in the long-range transverse-field Ising model. https://doi.org/10.1103/kv2w-mk4t

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