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Condensed Matter and Complex Systems

EPJ B - Tiling pattern governs quasicrystals’ magnetism

Review sheds light on the underlying magnetic qualities stemming from quasicrystals’ complex structure.

Few material classes have generated as much interest as quasicrystals. In a review published in EPJB quasicrystal expert Anuradha Jagannathan, from Paris-Sud University in Orsay, France, outlines the progress to date in the theory explaining the magnetic properties of these quasicrystals.

In 2011, the fascination with quasicrystals was rekindled by the awarding of the Chemistry Nobel Prize to Daniel Schechtman for their discovery in 1984. Their structure differs from standard crystals in that they are packed in patterns that repeat in space, in an aperiodic fashion. The resulting structures exhibit a highly complex ordering with 5, 8, 10 or 12-fold symmetries, which are not manifested in periodic, classic crystals.

This review shows that by focusing on two-dimensional tiling, it is possible to study the magnetic properties of these quasi-periodic materials at the atomic scale. This article provides an overview of the specificities of 2D quasicrystal structures, including those known as Penrose (see illustration) and Ammann tilings. The author considers a model called the Heisenberg model to explain their magnetic properties compared with other types of perfectly ordered as well as disordered crystals and quasicrystals.

The author discusses the use of several simulation methods, both quantitative and numerical, to show that the magnetic state in quasicrystals is characterised by a relatively high degree of magnetic order, in which an internal characteristic of electrons, called spin, alternates between the up and down direction, described as the antiferromagnetic or Néel state. In addition, highly complex spatial distribution of local staggered magnetisation also occurs within such materials.

These theoretical predictions could be verified experimentally in the laboratory using thin films grown by deposition on a quasicrystal surface or by creating controlled artificial crystalline structures at near-zero temperature using cold atoms technology.

E. Hernandez and H. Rieger
I am naturally indebted to you and the referees who contributed to this success with your time and constructive advice.

Hamid Assadi

ISSN (Print Edition): 1434-6028
ISSN (Electronic Edition): 1434-6036

© EDP Sciences, Società Italiana di Fisica and Springer-Verlag

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