Abstract

The effect of nonmagnetic disorder on Berezinskii-Kosterlitz-Thouless (BKT) transition in the two-dimensional ferromagnetic XY model on a square lattice, diluted by randomly placed vacancies can be an important source of information on the role played by vortexes in this transition. The transition temperature TBKT is determined as a function of vacancy density ρv by stiffness ρ and for different size of the lattice. The anomalous behavior for TBKT when ρv is close to the square lattice percolation limit is a consequence of the effect of finite size of lattice and not due the quantum fluctuations as concluded in literature. We obtain that TBKT falls to zero at ρv ≈ 0.40 close to the value 0.41 obtained for the classic model.

Details

Title
Kosterlitz-Thouless Transition: The Diluted XY model
Author
Costa, B V 1 ; Lima, L S 1 ; Coura, P Z 2 ; Leonel, S A 2 ; Lima, A B 3 

 Department of Physics, Universidade Federal de Minas Gerais, Brazil 
 Department of Physics, Universidade Federal de Juiz de Fora, Brazil 
 Department of Physics, Universidade Federal do Triangulo Mineiro, Brazil 
Publication year
2014
Publication date
Mar 2014
Publisher
IOP Publishing
ISSN
17426588
e-ISSN
17426596
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2576597597
Copyright
© 2014. This work is published under http://creativecommons.org/licenses/by/3.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.