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The European Physical Journal B
ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)
Abstract Volume 1 Issue 2 (1998) pp 197-204
Boundary condition histograms for modulated phases
M. Benakli (1), M. Gabay (2) (a), W.M. Saslow (3)
(1) Department of Physics, Condensed Matter Section, ICTP, P.O. Box 586, 34014, Trieste, Italy
(2) Laboratoire de Physique des Solides Laboratoire associé au CNRS, Université de Paris-Sud, Bâtiment 510, 91405 Orsay Cedex, France
(3) Department of Physics Texas A&M University College Station, Texas 77843-4242, USA
Received: 9 September 1997 / Revised: 17 October 1997 / Accepted: 3 November 1997
Abstract: Boundary conditions strongly affect the results of numerical computations for finite size inhomogeneous or incommensurate structures. We present a method which allows to deal with this problem, both for ground state and for critical properties: it combines fluctuating boundary conditions and specific histogram techniques. Our approach concerns classical systems possessing a continuous symmetry as well as quantum systems. In particular, current-current correlation functions, which probe large scale coherence of the states, can be accurately evaluated. We illustrate our method on a frustrated two dimensional XY model.
PACS. 75.10.HkClassical spin models
(a) e-mail: marc@classic.lps.u-psud.fr
Online publication: February 17, 1998
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