Particles, string and interface in the three-dimensional Ising model

We consider the three-dimensional Ising model slightly below its critical temperature, with boundary conditions leading to the presence of an interface. We show how the interfacial properties can be deduced starting from the particle modes of the underlying field theory. The product of the surface t...

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Main Authors: Gesualdo Delfino, Walter Selke, Alessio Squarcini
Format: Article
Language:English
Published: Elsevier 2020-09-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S055032132030225X
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author Gesualdo Delfino
Walter Selke
Alessio Squarcini
author_facet Gesualdo Delfino
Walter Selke
Alessio Squarcini
author_sort Gesualdo Delfino
collection DOAJ
description We consider the three-dimensional Ising model slightly below its critical temperature, with boundary conditions leading to the presence of an interface. We show how the interfacial properties can be deduced starting from the particle modes of the underlying field theory. The product of the surface tension and the correlation length yields the particle density along the string whose propagation spans the interface. We also determine the order parameter and energy density profiles across the interface, and show that they are in complete agreement with Monte Carlo simulations that we perform.
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spelling doaj.art-0c7bd13d4cb54b018e868d7ef1a359762022-12-21T17:50:15ZengElsevierNuclear Physics B0550-32132020-09-01958115139Particles, string and interface in the three-dimensional Ising modelGesualdo Delfino0Walter Selke1Alessio Squarcini2SISSA, Via Bonomea 265, 34136 Trieste, Italy; INFN sezione di Trieste, 34100 Trieste, Italy; Corresponding author.Institute for Theoretical Physics, RWTH Aachen University, 52056 Aachen, GermanyMax-Planck-Institut für Intelligente Systeme, Heisenbergstr. 3, D-70569, Stuttgart, Germany; IV. Institut für Theoretische Physik, Universität Stuttgart, Pfaffenwaldring 57, D-70569 Stuttgart, GermanyWe consider the three-dimensional Ising model slightly below its critical temperature, with boundary conditions leading to the presence of an interface. We show how the interfacial properties can be deduced starting from the particle modes of the underlying field theory. The product of the surface tension and the correlation length yields the particle density along the string whose propagation spans the interface. We also determine the order parameter and energy density profiles across the interface, and show that they are in complete agreement with Monte Carlo simulations that we perform.http://www.sciencedirect.com/science/article/pii/S055032132030225X
spellingShingle Gesualdo Delfino
Walter Selke
Alessio Squarcini
Particles, string and interface in the three-dimensional Ising model
Nuclear Physics B
title Particles, string and interface in the three-dimensional Ising model
title_full Particles, string and interface in the three-dimensional Ising model
title_fullStr Particles, string and interface in the three-dimensional Ising model
title_full_unstemmed Particles, string and interface in the three-dimensional Ising model
title_short Particles, string and interface in the three-dimensional Ising model
title_sort particles string and interface in the three dimensional ising model
url http://www.sciencedirect.com/science/article/pii/S055032132030225X
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