| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 974820 | Physica A: Statistical Mechanics and its Applications | 2015 | 7 Pages |
•The influence of the dilution x→TBKTx→TBKT using the Self-Consistent Harmonic Approach (SCHA).•The influence of the dilution →TBKT→TBKT using Quantum Monte Carlo (QMC).•The limier of percolation is compared using the two methods. TBKT→0TBKT→0, when x→x→xcxc.
In this work we use the Self Consistent Harmonic Approximation and Quantum Monte Carlo technique to study the Quantum XYXY on a two dimensional square lattice in the presence of nonmagnetic impurities. In particular we discuss how site disorder changes the Berezinskii–Kosterlitz–Thouless transition temperature, TBKTTBKT. This temperature is determined as a function of the nonmagnetic density. Our results are consistent with an anomalous behavior of TBKTTBKT at a concentration close to the site percolation threshold. We interpret the results as due to a competition between the confining of vortices and quantum fluctuations, or due to finite size effects.
