Critical hysteresis in random-field XY and Heisenberg models.
نویسندگان
چکیده
We study zero-temperature hysteresis in random-field XY and Heisenberg models in the zero-frequency limit of a cyclic driving field. We consider three distributions of the random field and present exact solutions in the mean-field limit. The results show a strong effect of the form of disorder on critical hysteresis as well as the shape of hysteresis loops. A discrepancy with an earlier study based on the renormalization group is resolved.
منابع مشابه
Hysteresis in random-field XY and Heisenberg models: mean-field theory and simulations at zero temperature.
We examine zero-temperature hysteresis in random-field XY and Heisenberg models in the zero-frequency limit of a cyclic driving field. Exact expressions for hysteresis loops are obtained in the mean-field approximation. These show rather unusual features. We also perform simulations of the two models on a simple-cubic lattice and compare them with the predictions of the mean-field theory.
متن کاملبررسی خواص بحرانی مدلهای هایزنبرگ و XY کلاسیک به روش گروه بازبهنجارش میدان میانگین (MFRG)
Using both mean field renormalization group (MFRG) and Surface-Bulk MFRG (SBMFRG), we study the critical behavior of the classical Heisenberg and XY models on a simple cubic lattice. Critical temperatures as well as critical exponents, characteristic the universality classes of these two models were calculated, analytically for1, 2, 3 and 4 spin clusters. The results are in good agreement with...
متن کاملHigh-Temperature Series Analyses of the Classical Heisenberg and XY Model
Although there is now a good measure of agreement between Monte Carlo and high-temperature series expansion estimates for Ising (n = 1) models, published results for the critical temperature from series expansions up to 12th order for the three-dimensional classical Heisenberg (n = 3) and XY (n = 2) model do not agree very well with recent high-precision Monte Carlo estimates. In order to clari...
متن کاملWeak-universal critical behavior and quantum critical point of the exactly soluble spin-1/2 Ising-Heisenberg model with the pair XY Z Heisenberg and quartic Ising interactions
Spin-1/2 Ising-Heisenberg model with XY Z Heisenberg pair interaction and two different Ising quartic interactions is exactly solved with the help of the generalized star-square transformation, which establishes a precise mapping equivalence with the corresponding eight-vertex model on a square lattice generally satisfying Baxter’s zero-field (symmetric) condition. The investigated model exhibi...
متن کاملL ’ viv - 1996
The exact results for thermodynamical properties of one-dimensional spin-1 2 isotropic XY model with Dzyaloshinskii-Mo-riya interaction in random lorentzian transverse field are obtained. This permits to discuss some approximate methods of disordered spin systems theory. The approximate scheme of examining the thermodynamics of one-dimensional spin-1 2 XXZ Heisenberg model with Dzyaloshinskii-M...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 83 1 Pt 1 شماره
صفحات -
تاریخ انتشار 2011