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Universality of striped morphologies.

E Edlund¹, M Nilsson Jacobi

¹Complex Systems Group, Department of Energy and Environment, Chalmers University of Technology, SE-41296 Göteborg, Sweden. erik.edlund@chalmers.se

Physical Review Letters

|January 15, 2011

Summary

This summary is machine-generated.

We developed a method to predict low-temperature spin model behavior. For Ising models, striped patterns universally emerge as favored ground states due to discretization effects.

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Area of Science:

Statistical Mechanics
Condensed Matter Physics
Computational Physics

Background:

Understanding the low-temperature behavior of spin models is crucial for materials science.
Spherical and Ising spin models are fundamental frameworks for studying magnetism and phase transitions.
Isotropic potentials in these models can lead to complex ground state structures.

Purpose of the Study:

To present a novel method for predicting the low-temperature behavior of spherical and Ising spin models.
To analyze the ground state morphologies of these models under isotropic potentials.
To investigate the impact of discretization on the energy landscape and resulting structures.

Main Methods:

Development of a predictive method for low-temperature spin model analysis.
Exact determination of characteristic length scales for spherical models.
Analysis of ground state degeneracy and energy landscapes for both spherical and Ising models.
Investigation of the role of discretization in Ising model ground state formation.

Main Results:

For spherical models, characteristic length scales were determined, but morphologies (checkerboards, stripes) were found to be degenerate.
Discretization in Ising models was shown to break this degeneracy.
Striped morphologies were identified as energetically favored ground states in Ising models.
Universal emergence of striped ground states for potentials with nontrivial Hankel transform minima.

Conclusions:

The proposed method accurately predicts low-temperature spin model behavior.
Discretization is a key factor driving the universal formation of striped ground states in Ising models.
This work provides insights into the fundamental principles governing magnetic ordering and pattern formation in condensed matter systems.