# Kosterlitz-Thouless transition in planar spin models with bond dilution
> Surungan T.

URL kanonis: https://discover.unhas.ac.id/publications/kosterlitz-thouless-transition-in-planar-spin-models-with-bond-dilution
Jurnal / Konferensi: Physical Review B Condensed Matter and Materials Physics
Tahun terbit: 2005
DOI: https://doi.org/10.1103/PhysRevB.71.184438
ISSN: 10980121
Citations: 28

## Authors
- Surungan T.

## Abstract
We study the two-dimensional bond-diluted $XY$ and six-state clock models by Monte Carlo simulation with cluster spin updates. Various concentrations of depleted bonds were simulated, in which we found a systematic decrease of the Kosterlitz-Thouless (KT) transition temperatures of both $XY$ and six-state clock models as the concentration of dilution decreases. For the six-state clock model, a second KT transition at lower temperature was observed. The KT transition temperatures as well as the decay exponent $\ensuremath{\eta}$ for each concentration of dilution are estimated. It is observed that the quasi-long-range order disappears at the concentration of dilution very close to the percolation threshold. The decay exponent $\ensuremath{\eta}$ of the KT transitions calculated at each concentration indicates that the universality class belongs to the pure $XY$ and clock models, analogous to the expectation of the Harris criterion for the irrelevance of randomness in the continuous phase transition of systems with nondiverging specific heat.

## Keywords
- Dilution
- Classical XY model
- Monte Carlo method
- Exponent
- Phase transition
- Randomness
- Renormalization group
- Physics
- Kosterlitz–Thouless transition
- Percolation threshold
- Percolation (cognitive psychology)
- Condensed matter physics
- Thermodynamics
- Intermolecular force
- Statistical physics
- Chemistry
- Quantum mechanics
- Mathematics
- Molecule
- Statistics
- Electrical resistivity and conductivity
- Linguistics
- Biology
- Neuroscience
- Philosophy

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