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Inhomogeneous Broadening and the Kosterlitz-Thouless Transition

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Title: Inhomogeneous Broadening and the Kosterlitz-Thouless Transition
Author: COLLINS, M.; Agnolet, Glenn; SASLOW, WM; KROTSCHECK, E.
Abstract: Torsional-oscillator studies of very thin He-4 films have found nonuniversal behavior of the superfluid response as a function of coverage. The temperature width of the superfluid transition region is nonmonotonic in the areal density n and exhibits cusplike variations at half of the layering period. We explore the assumption that this additional broadening is caused by macroscopic inhomogeneities in the substrate potential; such a theory for inhomogeneous broadening can be constructed from the Kosterlitz-Nelson relation between the superfluid areal density n(s) and the transition temperature T(c) by determining the theoretical ''sensitivity'' S of n(s) to variations in the strength of the substrate potential. For substrate models that are atomically uniform, a simple microscopic hypernetted-chain calculation (without either ''elementary diagrams'' or three-body correlations, but with an optimized Jastrow function) finds this sensitivity always to be of the same sign, and yields reasonable order-of-magnitude agreement with experiment. However, models for which the sensitivity does not change sign appear to be incapable of yielding either the cusps or the half-periodicity of the data. We suggest that these properties may occur with a more recently developed (and more sophisticated) version of hypernetted-chain theory, wherein ''elementary diagrams'' and three-body correlations are incorporated.
Description: Journals published by the American Physical Society can be found at http://journals.aps.org/
Publisher: American Physical Society
Department: Physics and Astronomy
URI: http://dx.doi.org/10.1103/PhysRevB.47.8905
Date: 1993


M. COLLINS, Glenn Agnolet, WM SASLOW and E. KROTSCHECK. Phys.Rev.B 47 8905-8909 1993."Copyright (1993) by the American Physical Society."

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