Ordered Structures on the BCC Lattice with First, Second, Third and Fifth Neighbour Interactions

1982 ◽  
Vol 21 ◽  
Author(s):  
A. Finel ◽  
F. Ducastelle
Keyword(s):  
Phase Diagram ◽  
Ising Model ◽  
Ground State ◽  
Linear Inequalities ◽  
Ordered Structures ◽  
Bcc Lattice

ABSTRACTUsing a method of linear inequalities similar to that introduced previously by Kanamori and others, we determine the ground state of the Ising model on the BCC lattice in the presence of first, second, thirdand fifth neighbour interactions. Thirteen new structures are found ; the C 11b (MoSi2)and B 11 (γ - TiCu) in particular are found to be stabilized by third and /for fifth neighbour interactions. Some regions of the phase diagram however are still not completely known.

scholarly journals Ground-State Phase Diagram of the Extended Ising Model on the Shastry-Sutherland Lattice

2014 ◽  
Vol 126 (1) ◽  
pp. 46-47 ◽  
Author(s):  
H. Čenčariková ◽  
P. Farkašovský ◽  
P. Puchala
Keyword(s):  
Phase Diagram ◽  
Ising Model ◽  
Ground State ◽  
Ground State Phase Diagram

scholarly journals Phase diagram and ground state structure of the Ising model on the Kagome lattice

2018 ◽  
Vol 33 (1) ◽  
pp. 57-66
Author(s):  
M.A. Magomedov ◽  
◽  
A.K. Murtazaev ◽  
L.K. Magomedova ◽  
L.K. Magomedova ◽  
...  
Keyword(s):  
Phase Diagram ◽  
Ising Model ◽  
Ground State ◽  
Ground State Structure ◽  
State Structure ◽  
Kagome Lattice ◽  
Kagomé Lattice

scholarly journals Ground state and stability of the fractional plateau phase in metallic Shastry–Sutherland system TmB4

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Matúš Orendáč ◽  
Slavomír Gabáni ◽  
Pavol Farkašovský ◽  
Emil Gažo ◽  
Jozef Kačmarčík ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Phase Diagram ◽  
Ground State ◽  
Constant Magnetic Field ◽  
Paramagnetic Phase ◽  
The Other ◽  
Zero Field ◽  
Plateau Phase ◽  
Low Field ◽  
Zero Field Cooling

AbstractWe present a study of the ground state and stability of the fractional plateau phase (FPP) with M/Msat = 1/8 in the metallic Shastry–Sutherland system TmB4. Magnetization (M) measurements show that the FPP states are thermodynamically stable when the sample is cooled in constant magnetic field from the paramagnetic phase to the ordered one at 2 K. On the other hand, after zero-field cooling and subsequent magnetization these states appear to be of dynamic origin. In this case the FPP states are closely associated with the half plateau phase (HPP, M/Msat = ½), mediate the HPP to the low-field antiferromagnetic (AF) phase and depend on the thermodynamic history. Thus, in the same place of the phase diagram both, the stable and the metastable (dynamic) fractional plateau (FP) states, can be observed, depending on the way they are reached. In case of metastable FP states thermodynamic paths are identified that lead to very flat fractional plateaus in the FPP. Moreover, with a further decrease of magnetic field also the low-field AF phase becomes influenced and exhibits a plateau of the order of 1/1000 Msat.

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