# Dynamic phase transition features of the cylindrical nanowire driven by a propagating magnetic field

## TL;DR

This study uses Monte Carlo simulations to explore how a propagating magnetic field influences the dynamic phases of a cylindrical nanowire, revealing phase transitions and the effects of field parameters on these transitions.

## Contribution

It introduces a detailed Monte Carlo analysis of the dynamic phase transitions in cylindrical nanowires under propagating magnetic fields, highlighting new phase boundary behaviors.

## Key findings

- Identification of two dynamical phases: coherent spin propagation and spin-frozen states.
- Phase transition points shift to lower temperatures with increasing field amplitude.
- The phase boundary shrinks inward as the wavelength of the external field decreases.

## Abstract

Magnetic response of the spin-$1/2$ cylindrical nanowire to the propagating magnetic field wave has been investigated by means of Monte Carlo simulation method based on Metropolis algorithm. The obtained microscopic spin configurations suggest that the studied system exhibits two types of dynamical phases depending on the considered values of system parameters: Coherent propagation of spin bands and spin-frozen or pinned phases, as in the case of the conventional bulk systems under the influence of a propagating magnetic field. By benefiting from the temperature dependencies of variances of dynamic order parameter, internal energy and the derivative of dynamic order parameter of the system, dynamic phase diagrams are also obtained in related planes for varying values of the wavelength of the propagating magnetic field. Our simulation results demonstrate that as the strength of the field amplitude is increased, the phase transition points tend to shift to the relatively lower temperature regions. Moreover, it has been observed that dynamic phase boundary line shrinks inward when the value of wavelength of the external field decreases.