Criticality in one dimension with inverse square-law potentials

Preprint

10 April 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0104175

Abstract

It is demonstrated that the scaled order parameter for ferromagnetic Ising and three-state Potts chains with inverse-square interactions exhibits a universal critical jump, in analogy with the superfluid density in helium films. Renormalization-group arguments are combined with numerical simulations of systems containing up to one million lattice sites to accurately determine the critical properties of these models. In strong contrast with earlier work, compelling quantitative evidence for the Kosterlitz--Thouless-like character of the phase transition is provided.

Keywords

FERROMAGNETIC
HELIUM
INVERSE SQUARE
LAW POTENTIALS
NUMERICAL SIMULATIONS
PHASE TRANSITION
SCALED ORDER
SIMULATIONS OF SYSTEMS
SQUARE LAW
SUPERFLUID DENSITY

All Related Versions

Version 1, 2001-04-10, ArXiv
Published version: Physical Review Letters, 86 (23), 5305.

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