Thongjaomayum Diana, Shukla Prabodh
Center for Theoretical Physics of Complex Systems, Institute for Basic Science (IBS), Daejeon 34051, Republic of Korea.
Department of Physics, North-Eastern Hill University, Shillong-793022, India.
Phys Rev E. 2019 Jun;99(6-1):062136. doi: 10.1103/PhysRevE.99.062136.
Critical hysteresis in the zero-temperature random-field Ising model on a two-dimensional triangular lattice was studied earlier with site dilution on one sublattice. It was reported that criticality vanishes if less than one-third of the sublattice is occupied. This appears at variance with recently obtained exact solutions of the model on dilute Bethe lattices and prompts us to revisit the problem using an alternate numerical method. Contrary to our speculation that criticality may not be exactly zero below one-third dilution, the present study indicates it is nearly zero if approximately less than two-thirds of the sublattice is occupied. This suggests that hysteresis on dilute periodic lattices is qualitatively different from that on dilute Bethe lattices. Possible reasons are discussed briefly.
二维三角晶格上零温随机场伊辛模型中的临界滞后现象，早期曾在一个子晶格上进行位点稀释的情况下进行过研究。据报道，如果子晶格被占据的比例小于三分之一，临界性就会消失。这似乎与最近在稀释贝塞耳晶格上获得的该模型的精确解不一致，并促使我们使用另一种数值方法重新审视这个问题。与我们关于在稀释比例低于三分之一时临界性可能不完全为零的推测相反，本研究表明，如果子晶格被占据的比例大约小于三分之二，临界性几乎为零。这表明稀释周期晶格上的滞后现象与稀释贝塞耳晶格上的滞后现象在性质上有所不同。简要讨论了可能的原因。
