scholarly journals Phase transitions of geometrically frustrated mixed spin-1/2 and spin-1 Ising-Heisenberg model on diamond-like decorated planar lattices

2011 ◽  
Vol 14 (1) ◽  
pp. 13002 ◽  
Author(s):  
Gálisová ◽  
Strečka
Keyword(s):  
Phase Transitions ◽  
Heisenberg Model ◽  
Geometrically Frustrated ◽  
Mixed Spin ◽  
Planar Lattices

scholarly journals Ground State, Magnetization Process and Bipartite Quantum Entanglement of a Spin-1/2 Ising–Heisenberg Model on Planar Lattices of Interconnected Trigonal Bipyramids

Entropy ◽  
2021 ◽  
Vol 23 (12) ◽  
pp. 1671
Author(s):  
Lucia Gálisová ◽  
Michał Kaczor
Keyword(s):  
Quantum Entanglement ◽  
Ground State ◽  
Heisenberg Model ◽  
Degrees Of Freedom ◽  
Heisenberg Spin ◽  
Mixed Spin ◽  
Field Independent ◽  
Spin Arrangement ◽  
State Spin ◽  
Planar Lattices

The ground state, magnetization scenario and the local bipartite quantum entanglement of a mixed spin-1/2 Ising–Heisenberg model in a magnetic field on planar lattices formed by identical corner-sharing bipyramidal plaquettes is examined by combining the exact analytical concept of generalized decoration-iteration mapping transformations with Monte Carlo simulations utilizing the Metropolis algorithm. The ground-state phase diagram of the model involves six different phases, namely, the standard ferrimagnetic phase, fully saturated phase, two unique quantum ferrimagnetic phases, and two macroscopically degenerate quantum ferrimagnetic phases with two chiral degrees of freedom of the Heisenberg triangular clusters. The diversity of ground-state spin arrangement is manifested themselves in seven different magnetization scenarios with one, two or three fractional plateaus whose values are determined by the number of corner-sharing plaquettes. The low-temperature values of the concurrence demonstrate that the bipartite quantum entanglement of the Heisenberg spins in quantum ferrimagnetic phases is field independent, but twice as strong if the Heisenberg spin arrangement is unique as it is two-fold degenerate.

Phase transitions in the Heisenberg model on a layered triangular lattice in a magnetic field

2021 ◽  
pp. 1-10
Author(s):  
Akai Murtazaev ◽  
Magomedzagir Badiev ◽  
Magomedsheykh Ramazanov ◽  
Magomed Magomedov
Keyword(s):  
Magnetic Field ◽  
Phase Transitions ◽  
Triangular Lattice ◽  
Heisenberg Model

Triple mixed-spin Ising model

2020 ◽  
Vol 34 (13) ◽  
pp. 2050129
Author(s):  
Erhan Albayrak
Keyword(s):  
Phase Transitions ◽  
Ising Model ◽  
Magnetic Fields ◽  
Exchange Interaction ◽  
Spin System ◽  
Bethe Lattice ◽  
Nearest Neighbors ◽  
Recursion Relations ◽  
Mixed Spin ◽  
Exchange Interaction Parameter

The A, B and C atoms with spin-1/2, spin-3/2 and spin-5/2 are joined together sequentially on the Bethe lattice in the form of ABCABC[Formula: see text] to simulate a molecule as a triple mixed-spin system. The spins are assumed to be interacting with only their nearest-neighbors via bilinear exchange interaction parameter in addition to crystal and external magnetic fields. The order-parameters are obtained in terms of exact recursion relations, then from the study of their thermal variations, the phase diagrams are calculated on the possible planes of our system. It is found that the model gives only second-order phase transitions in addition to the compensation temperatures.

scholarly journals Multiple Field-Induced Phase Transitions in the Geometrically Frustrated Dipolar Magnet:Gd2Ti2O7

2002 ◽  
Vol 89 (6) ◽  
Author(s):  
A. P. Ramirez ◽  
B. S. Shastry ◽  
A. Hayashi ◽  
J. J. Krajewski ◽  
D. A. Huse ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Geometrically Frustrated ◽  
Multiple Field

Phase transitions in the classical exchange-anisotropic Kitaev-Heisenberg model

2020 ◽  
Vol 102 (4) ◽  
Author(s):  
X. M. Zhang ◽  
R. M. Liu ◽  
Z. Jin ◽  
T. T. Liu ◽  
D. Y. Chen ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Heisenberg Model

Magnetic properties of the mixed spin-5/2 and spin-3/2 Blume-Capel Ising system on the two-fold Cayley tree

Open Physics ◽  
2009 ◽  
Vol 7 (3) ◽  
Author(s):  
Rachidi Yessoufou ◽  
Saliou Amoussa ◽  
Felix Hontinfinde
Keyword(s):  
Magnetic Properties ◽  
Phase Transitions ◽  
Crystal Field ◽  
Cayley Tree ◽  
Second Order ◽  
Coordination Numbers ◽  
First Order ◽  
Mixed Spin ◽  
Second Order Transition ◽  
Zero Values

AbstractWe use exact recursion relations to study the magnetic properties of the half-integer mixed spin-5/2 and spin-3/2 Blume-Capel Ising ferromagnetic system on the two-fold Cayley tree that consists of two sublattices A and B. Two positive crystal-field interactions Δ1 and Δ2 are considered for the sublattice with spin-5/2 and spin-3/2 respectively. For different coordination numbers q of the Cayley tree sites, the phase diagrams of the model are presented with a special emphasis on the case q = 3, since other values of q reproduce similar results. First, the T = 0 phase diagram is illustrated in the (D A = Δ1/J,D B = Δ2/J) plane of reduced crystal-field interactions. This diagram shows triple points and coexistence lines between thermodynamically stable phases. Secondly, the thermal variation of the magnetization belonging to each sublattice for some coordination numbers q are investigated as well as the Helmoltz free energy of the system. First-order and second-order phase transitions are found. The second-order phase transitions become sharper and sharper when D A or D B increases. The first-order transitions only exist for some appropriate non-zero values of D A and/or D B. The corresponding transition lines never connect to the second-order transition lines. Thus, the non-existence of tricritical points remains one of the key features of the present model. The magnetic exponent β 0 of the model is estimated and found to be ¼ at small values of D A = D B = D and β 0 = ½ at large values of D. At intermediate values of D, there is a crossover region where the magnetic exponent displays interesting behaviours.

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