Dynamic magnetization process in the frustrated Shastry-Sutherland system TmB ₄

Abstract

PACS 75.10.Hk -Classical spin models PACS 07.55.Db -Generation of magnetic fields; magnets PACS 71.10.Hf -Non-Fermi-liquid ground states, electron phase diagrams and phase transitions in model systems Abstract -The dynamic magnetization behaviors of the classical Ising model on the Shastry-Sutherland lattice with additional long-range interactions are investigated by means of the Glauber dynamics, in order to understand the fascinating magnetization plateaus and the hysteresis loop observed in TmB4. With this algorithm, the experimental 1/n (n = 7, 9, 11) magnetization plateaus as well as the main 1/2 one can be reproduced at low temperatures. Furthermore, the hysteresis loop can also be well explained by the present theory. It is indicated that the formation of domain walls due to the non-equilibrium magnetization process may be responsible for the emergence of the fractional plateaus.

Ashkin-Teller criticality and weak first-order behavior of the phase transition to a fourfold degenerate state in two-dimensional frustrated Ising antiferromagnets

“…22,43 Furthermore, additional AFM J 3 is available in TmB 4 which may be with the single stripe ground-state. 20 The exchange interactions could be efficiently modulated by various experimental methods such as applying uniaxial strain and/or ion doping in these systems. Thus, the critical temperatures and the characters of the phase transitions may be altered in the strained and/or the doped systems, as predicted in our simulations.…”

“…The study of the S-S Ising model becomes very important from the following two viewpoints. On one hand, this model 19,20 can be effectively used to study the magnetic properties of the rare-earth tetraborides such as TmB 4 16 .…”

Rotating magnetocaloric effect and unusual magnetic features in metallic strongly anisotropic geometrically frustrated TmB4

“…On the other hand, for fields B ⊥ c the saturation of M is reached only at fields above 30 T. From this it follows that in magnetic fields up to about 4 T the magnetization along the c -axis is considerably higher than this in the perpendicular direction which is advantageous for the emergence of the R-MCE. Further details about the magnetic structure and other properties of TmB 4 and related magnetic tetraborides 22 – 28 , as well as about the current theoretical approaches can be found elsewhere 29 – 33 .…”

Evolution of field-induced metastable phases in the Shastry-Sutherland lattice magnet TmB4

“…1 [17]. The 1/2 plateau can be explained by calculations of the ground state of frustrated Ising models on a SSL [18][19][20][21][22][23][24][25][26][27][28] but the 1/8 plateau is more difficult to rationalize. It appears in some models, but interpretations in terms of complex structures at domain walls [17] or incommensurate modulated magnetic order [29,30] have also been proposed.…”