scholarly journals Phase transitions in a frustrated Ising antiferromagnet on a square lattice

2015 ◽  
Vol 91 (3) ◽  
Author(s):  
A. Bobák ◽  
T. Lučivjanský ◽  
M. Borovský ◽  
M. Žukovič
Keyword(s):  
Phase Transitions ◽  
Square Lattice ◽  
Ising Antiferromagnet

scholarly journals Quantum phase transitions of a square-lattice Heisenberg antiferromagnet with two kinds of nearest-neighbor bonds: A high-order coupled-cluster treatment

2000 ◽  
Vol 61 (21) ◽  
pp. 14607-14615 ◽  
Author(s):  
Sven E. Krüger ◽  
Johannes Richter ◽  
Jörg Schulenburg ◽  
Damian J. J. Farnell ◽  
Raymond F. Bishop
Keyword(s):  
Phase Transitions ◽  
Nearest Neighbor ◽  
Quantum Phase Transitions ◽  
High Order ◽  
Quantum Phase ◽  
Square Lattice ◽  
Coupled Cluster ◽  
Heisenberg Antiferromagnet

scholarly journals Weak Singularities of the Isothermal Entropy Change as the Smoking Gun Evidence of Phase Transitions of Mixed-Spin Ising Model on a Decorated Square Lattice in Transverse Field

Entropy ◽  
2021 ◽  
Vol 23 (11) ◽  
pp. 1533
Author(s):  
Jozef Strečka ◽  
Katarína Karl’ová
Keyword(s):  
Magnetic Field ◽  
Phase Transitions ◽  
Ising Model ◽  
Magnetocaloric Effect ◽  
Entropy Change ◽  
Transverse Magnetic ◽  
Continuous Phase ◽  
Square Lattice ◽  
Mixed Spin ◽  
Weak Singularities

The magnetocaloric response of the mixed spin-1/2 and spin-S (S>1/2) Ising model on a decorated square lattice is thoroughly examined in presence of the transverse magnetic field within the generalized decoration-iteration transformation, which provides an exact mapping relation with an effective spin-1/2 Ising model on a square lattice in a zero magnetic field. Temperature dependencies of the entropy and isothermal entropy change exhibit an outstanding singular behavior in a close neighborhood of temperature-driven continuous phase transitions, which can be additionally tuned by the applied transverse magnetic field. While temperature variations of the entropy display in proximity of the critical temperature Tc a striking energy-type singularity (T−Tc)log|T−Tc|, two analogous weak singularities can be encountered in the temperature dependence of the isothermal entropy change. The basic magnetocaloric measurement of the isothermal entropy change may accordingly afford the smoking gun evidence of continuous phase transitions. It is shown that the investigated model predominantly displays the conventional magnetocaloric effect with exception of a small range of moderate temperatures, which contrarily promotes the inverse magnetocaloric effect. It turns out that the temperature range inherent to the inverse magnetocaloric effect is gradually suppressed upon increasing of the spin magnitude S.

scholarly journals Phase transitions of the five-state clock model on the square lattice

2018 ◽  
Vol 27 (8) ◽  
pp. 080503 ◽  
Author(s):  
Yong Chen ◽  
Zhi-Yuan Xie ◽  
Ji-Feng Yu
Keyword(s):  
Phase Transitions ◽  
Square Lattice ◽  
Clock Model
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