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Spin Models with Long Range Competing Interactions: Striped Nature of the Ground States

Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, 2007.
Authors: A. Giuliani and J.L. Lebowitz and E.H. Lieb
Editors: Luciano Pietronero and Vittorio Loreto and Stefano Zapperi
URL: http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=176
Tags: competing dipole films formation interactions long magnetic models pattern range spin spontaneous statphys23 systems thin topic-1
Abstract: Thin magnetic films at low temperatures show a wide range of ordering effects and related pattern-formation phenomena. The origins of these phenomena can often be traced to competition between the long ranged dipole-dipole interaction and short ranged exchange interactions. In this talk I will introduce a class of 2D discrete dipole models, describing different realizations of thin magnetic films. After reviewing the behavior of these models, as expected from MonteCarlo simulations and variational computations, I will discuss some recent rigorous results on the stripe-patterned nature of the ground states.
| URL | BibTeX  
@incollection{statphys23_0176,
title = {Spin Models with Long Range Competing Interactions: Striped Nature of the Ground States},
address = {Genova, Italy},
author = {A. Giuliani and J.L. Lebowitz and E.H. Lieb},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Luciano Pietronero and Vittorio Loreto and Stefano Zapperi},
month = {9-13 July},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=176},
year = {2007},
abstract = {Thin magnetic films at low temperatures show a wide range of ordering effects and related pattern-formation phenomena. The origins of these phenomena can often be traced to competition between the long ranged dipole-dipole interaction and short ranged exchange interactions. In this talk I will introduce a class of 2D discrete dipole models, describing different realizations of thin magnetic films. After reviewing the behavior of these models, as expected from MonteCarlo simulations and variational computations, I will discuss some recent rigorous results on the stripe-patterned nature of the ground states.},
keywords = {competing dipole films formation interactions long magnetic models pattern range spin spontaneous statphys23 systems thin topic-1 }
}