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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Elsevier
2020-09-01
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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. |
first_indexed | 2024-12-23T10:37:25Z |
format | Article |
id | doaj.art-0c7bd13d4cb54b018e868d7ef1a35976 |
institution | Directory Open Access Journal |
issn | 0550-3213 |
language | English |
last_indexed | 2024-12-23T10:37:25Z |
publishDate | 2020-09-01 |
publisher | Elsevier |
record_format | Article |
series | Nuclear Physics B |
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 |
work_keys_str_mv | AT gesualdodelfino particlesstringandinterfaceinthethreedimensionalisingmodel AT walterselke particlesstringandinterfaceinthethreedimensionalisingmodel AT alessiosquarcini particlesstringandinterfaceinthethreedimensionalisingmodel |