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Dynamics of a transverse Ising model with four-spin interactions

✍ Scribed by J. Florencio Jr.; O.F. de Alcântara Bonfim; F.C. SáBarreto

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
435 KB
Volume
235
Category
Article
ISSN
0378-4371

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✦ Synopsis

We report the first study of the dynamics of a transverse Ising model with four-spin interactions. We consider finite chains of increasing size in order to determine the time-dependent correlation function as well as the longitudinal relaxation function of the infinite chain. Up to 8 exact and 5 approximate moments of the infinite chain were also obtained. The correlation function is oscillatory for large values of the transverse field and is monotonically decreasing for small values of the transverse field. The system undergoes a crossover from a collective mode excitation regime to a central mode type of dynamics as the strength of field is lowered. The present model does not allow Gaussian decay for the correlation function.

📜 SIMILAR VOLUMES

Phase diagrams of a mixed spin transvers
Phase diagrams of a mixed spin transverse Ising model with random interactions
✍ T. Kaneyoshi 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 573 KB

The phase diagrams of a random-bond mixed spin Ising system consisting of spin-~ and spin-I wtth a transverse field are investigated within the framework of an effective-field approximation. Our phase diagram of zero transverse field is completely equivalent to that based on the finite cluster appro