Magnetism in rare-earth quasicrystals: RKKY interactions and ordering

We study magnetism in simple models for rare-earth quasicrystals, by considering Ising spins on a quasiperiodic tiling, coupled via RKKY interactions. Computing these interactions from a tight-binding model on the tiling, we find that they are frustrated and strongly dependent on the local environme...

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Published in:Europhysics letters 2015-04, Vol.110 (1), p.17002-p1-17002-p6
Main Authors: Thiem, Stefanie, Chalker, J. T.
Format: Article
Language:English
Subjects:
71.15.-m
75.50.Kj
Computer simulation
Ising model
Joining
Low temperature
Magnetism
Monte Carlo methods
Monte Carlo simulation
Phase transitions
Quasicrystals
Rare earth elements
Rare earth metals
Spin glass
Spin glasses
Temperature dependence
Tiling
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description We study magnetism in simple models for rare-earth quasicrystals, by considering Ising spins on a quasiperiodic tiling, coupled via RKKY interactions. Computing these interactions from a tight-binding model on the tiling, we find that they are frustrated and strongly dependent on the local environment. Although such features are often associated with spin glass behaviour, we show using Monte Carlo simulations that the spin system has a phase transition to a low-temperature state with long-range quasiperiodic magnetic order.
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subjects 71.15.-m
75.50.Kj
Computer simulation
Ising model
Joining
Low temperature
Magnetism
Monte Carlo methods
Monte Carlo simulation
Phase transitions
Quasicrystals
Rare earth elements
Rare earth metals
Spin glass
Spin glasses
Temperature dependence
Tiling
title Magnetism in rare-earth quasicrystals: RKKY interactions and ordering
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