Neumann boundary conditions with null external quasi-momenta in finite systems
Laboratório de Física Teórica e Computacional, Departamento de Física, Universidade Federal de Pernambuco, 50670-901, Recife, PE, Brazil
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Accepted: 14 May 2019
Published online: 31 July 2019
The order parameter of a critical system defined in a layered parallel plate geometry subject to Neumann boundary conditions at the limiting surfaces is studied. We utilize a one-particle irreducible vertex parts framework in order to study the critical behavior of such a system. The renormalized vertex parts are defined at zero external quasi-momenta, which makes the analysis particularly simple. The distance between the boundary plates L characterizing the finite-size system direction perpendicular to the hyperplanes plays a similar role, here, in comparison with our recent unified treatment for Neumann and Dirichlet boundary conditions. Critical exponents are computed using diagrammatic expansion at least up to two-loop order and are shown to be identical to those from the bulk theory (limit .
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019