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Triangular Ising antiferromagnets with quenched nonmagnetic impurities
Huai-Lei Tang1, Yi Zhu, Guo-Hong Yang
1Department of Physics, Shanghai University, Shanghai 200444, People's Republic of China.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 28, 2010
Summary
Quenched nonmagnetic impurities in frustrated spin systems disrupt spin-glass formation. Instead, these impurities lead to vortex glass properties, altering standard spin-glass correlations in triangular Ising antiferromagnets.
Area of Science:
- Condensed matter physics
- Statistical mechanics
Background:
- Random spin systems with frustration typically exhibit spin-glass phases.
- Geometrically frustrated spin systems with nonmagnetic impurities experience local frustration reduction, altering the interplay between randomness and frustration.
Purpose of the Study:
- To investigate the ground state properties of dilute triangular Ising antiferromagnetic systems with quenched nonmagnetic impurities.
- To determine if these systems exhibit spin-glass behavior or alternative emergent phases.
Main Methods:
- Mapping the spin system to an elastic array of noncrossing strings.
- Analyzing the role of nonmagnetic impurities as pinning centers within the string model.
- Calculating spin-glass correlations in the ground state.
Main Results:
- Nonmagnetic impurities act as pinning centers, analogous to those in string systems.
- Spin-glass correlations decay as a power law, deviating from the finite value expected at infinite distance in standard spin glasses.
- The system does not exhibit typical spin-glass behavior.
Conclusions:
- Triangular Ising antiferromagnets with quenched nonmagnetic impurities do not form a spin-glass phase.
- These systems display vortex glass properties in their ground states.
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