Universality of Striped Morphologies
Journal article, 2010

We present a method for predicting the low-temperature behavior of spherical and Ising spin models with isotropic potentials. For the spherical model the characteristic length scales of the ground states are exactly determined but the morphology is shown to be degenerate with checkerboard patterns, stripes and more complex morphologies having identical energy. For the Ising models we show that the discretization breaks the degeneracy causing striped morphologies to be energetically favored and therefore they arise universally as ground states to potentials whose Hankel transforms have nontrivial minima.

phases

long-range

ising-model

patterns

superconductors

Author

Erik Edlund

SuMo Biomaterials

Chalmers, Energy and Environment, Physical Resource Theory

Martin Nilsson Jacobi

Chalmers, Energy and Environment, Physical Resource Theory

Physical Review Letters

0031-9007 (ISSN) 1079-7114 (eISSN)

Vol. 105 13 137203-

Subject Categories

Physical Sciences

DOI

10.1103/PhysRevLett.105.137203

More information

Created

10/7/2017