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

Nuclear Physics B, vol. 958, pp. 115139

Abstract

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.

Authors 3

1. Gesualdo Delfino corresponding

   Scuola Internazionale Superiore di Studi Avanzati · Istituto Nazionale di Fisica Nucleare, Sezione di Trieste

   Affiliation as printed

   INFN sezione di Trieste, 34100 Trieste, Italy

   SISSA, Via Bonomea 265, 34136 Trieste, Italy

2. Walter Selke Aachen Institute for Theoretical Physics

   RWTH Aachen University

   Affiliation as printed

   Institute for Theoretical Physics, RWTH Aachen University, 52056 Aachen, Germany

3. Alessio Squarcini

   Max Planck Institute for Intelligent Systems · University of Stuttgart

   Affiliation as printed

   IV. Institut für Theoretische Physik, Universität Stuttgart, Pfaffenwaldring 57, D-70569 Stuttgart, Germany

   Max-Planck-Institut für Intelligente Systeme, Heisenbergstr. 3, D-70569, Stuttgart, Germany