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Glassy and Crystalline States in a Model without Disorder: Spin Analog of a Structural Glass

Published online by Cambridge University Press:  10 February 2011

Lei Gu
Affiliation:
Department of Physics, Brandeis University, Waltham, MA 02254, USA, bulbul@snow.cc.brandeis.edu
Bulbul Chakraborty
Affiliation:
Department of Physics, Brandeis University, Waltham, MA 02254, USA, bulbul@snow.cc.brandeis.edu
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Abstract

We have analyzed a non-randomly frustrated spin model which exhibits behavior remarkably similar to the phenomenology of structural glasses. The high-temperature disordered phase undergoes a strong first-order transition to a long-range ordered structure. Using Monte Carlo simulations, we have studied the behavior of the supercooled state by quenching to temperatures below this transition temperature. For a range of supercooling, the system remains ergodic and exhibits dynamics characteristic of supercooled liquids. Below a certain characteristic temperature, however, the system freezes into a “glassy” phase. In this phase, the system is non-ergodic and evolves through a distribution of traps characterized by a power-law distribution of trapping times. This change in the dynamic behavior is concurrent with the appearance of a shear instability.

Type
Research Article
Copyright
Copyright © Materials Research Society 1997

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References

REFERENCES

1. Angell, C.A., Proc. Nat. Acad. Sci. 92, 6675 (1995).Google Scholar
2. Menon, Narayanan and Nagel, Sidney R., Phys. Rev. Lett. 74, 1230 (1995) ;Google Scholar
Bitko, D. et al, Europhys. Lett 33, 489 (1996).Google Scholar
3. Bouchaud, J. P. and Mezard, M., J. Phys. I 4, 1109 (1994).Google Scholar
4. For a recent review and simulation studies, see Tomida, T. and Egami, T., Phy. Rev. B 52, 3290 (1995).Google Scholar
5. Kivelson, S. A. et al, J. Chem. Phys 101, 2391 (1994).Google Scholar
6. Chen, Z. Y. and Kardar, M., J. Phys. C 19, 6825 (1986).Google Scholar
7. Gu, Lei, Chakraborty, Bulbul, Garrido, P. L., Phani, Mohan and Lebowitz, J. L., Phys. Rev. B 53, 11985 (1996).Google Scholar
8. Bouchaud, J. P., J. Phys. I 2, 1705 (1992).Google Scholar
9. Thirumalai, D. and Mountain, Raymond D., Phys. Rev. B47, 479 (1993).Google Scholar
10. Krauth, W. and Mezard, M., Z. Phys. B 97, 127 (1995).Google Scholar