Finite-size scaling of the helicity modulus of the two-dimensional O(3) model

Journal Article · Wed Jan 01 04:00:00 EST 1997 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.55.41· OSTI ID:435221

Schultka, N ^[1]

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1. Institut fuer Theoretische Physik, Technische Hochschule Aachen, D-52056 Aachen (Germany)

Using Monte Carlo methods, we compute the finite-size scaling function of the helicity modulus {Upsilon} of the two-dimensional O(3) model and compare it to the low-temperature expansion prediction. From this, we estimate the range of validity for the leading terms of the low-temperature expansion of the finite-size scaling function and for the low-temperature expansion of the correlation length. Our results strongly suggest that a Kosterlitz-Thouless transition at a temperature T{gt}0 is extremely unlikely in this model. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 435221
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 1 Vol. 55; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CRYSTAL MODELS
HELICITY
KOSTERLITZ-THOULESS THEORY
MONTE CARLO METHOD
O GROUPS
PHASE TRANSFORMATIONS
SCALING LAWS
SERIES EXPANSION
TEMPERATURE DEPENDENCE
TWO-DIMENSIONAL CALCULATIONS