Influence of quenched dilution on the quasi-long-range ordered phase of the 2d XY model

Details Influence of quenched dilution on the quasi-long-range ordered phase of the 2d XY model Influence of quenched dilution on the quasi-long-range ordered phase of the 2d XY model

2003-09-22

arxiv.org/abs/cond-mat/0309501v1

Eur. Phys. J. B 36, 91-98 (2003)

Physics

Condensed Matter

Disordered Systems and Neural Networks

8 pages, 7 eps figures

Scientific paper

10.1140/epjb/e2003-00310-5

The influence of non magnetic impurities in the 2d XY model is investigated through Monte Carlo (MC) simulations. The general picture of the transition is fully understood from the Harris criterion which predicts that the universality class is unchanged, and the Berezinskii-Kosterlitz-Thouless description of the topological transition remains valid. We nevertheless address here the question about the influence of dilution on the quasi-long-range order at low temperatures. In particular, we study the asymptotic of the pair correlation function and report the MC estimates for the critical exponent $\eta$ at different dilutions. In the weak dilution region, our MC calculations are further supported by simple spin-wave-like calculations.

Affiliated with

Also associated with

No associations

Rating

Influence of quenched dilution on the quasi-long-range ordered phase of the 2d XY model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Influence of quenched dilution on the quasi-long-range ordered phase of the 2d XY model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Influence of quenched dilution on the quasi-long-range ordered phase of the 2d XY model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-160977