Bounday Condition histograms for modulated phases

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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31 pages, 8 figures

Scientific paper

10.1007/s100510050171

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.

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