Influence of a further-neighbour interaction on a rotating magnetoelectric effect in a coupled spin-electron model on a doubly decorated square lattice

2021 ◽  
pp. 168691
Author(s):  
Hana Vargová ◽  
Jozef Strečka
Keyword(s):  
Magnetoelectric Effect ◽  
Square Lattice ◽  
Electron Model ◽  
Neighbour Interaction

scholarly journals The zeros distribution of Z_5-symmetric model on a triangular lattice

2020 ◽  
Vol 16 (3) ◽  
pp. 307-313
Author(s):  
Siti Fatimah Zakaria ◽  
Nor Sakinah Mohd Manshur
Keyword(s):  
Partition Function ◽  
Complex Plane ◽  
Triangular Lattice ◽  
Square Lattice ◽  
Symmetric Model ◽  
Nearest Neighbour ◽  
Multiple Line ◽  
Lattice Graph ◽  
Zeros Of Partition Function ◽  
Neighbour Interaction

We study the -symmetric model with the nearest neighbour interaction between molecular dipole of five spin directions i.e. Q=5 which called as the -symmetric model on a triangular lattice. We investigate the zeros of partition function and the relationship to the phase transition. Initially, the model is defined on a triangular lattice graph with the nearest neighbour interaction. The partition function is then computed using a transfer matrix approach. We analyse the system by computing the zeros of the polynomial partition function using the Newton-Raphson method and then plot the zeros in a complex plane. For this lattice, the result shows that for specific type of energy level there are multiple line curves approaching real axis in the complex plane. The equation of the specific heat is produced and then plotted for comparison. Motivated from the work by Martin (1991) on models on square lattice, we extend the previous study to different lattice type that is triangular lattice.

scholarly journals The Z_6-symmetric model partition function on triangular lattice

2020 ◽  
Vol 16 (3) ◽  
pp. 264-270
Author(s):  
Nor Sakinah Mohd Manshur ◽  
Siti Fatimah Zakaria ◽  
Nasir Ganikhodjaev
Keyword(s):  
Phase Transitions ◽  
Partition Function ◽  
Triangular Lattice ◽  
Square Lattice ◽  
Partition Functions ◽  
Symmetric Model ◽  
Nearest Neighbour ◽  
Multiple Line ◽  
Multiple Phase ◽  
Neighbour Interaction

There is a study on a square lattice that can predict the existence of multiple phase transitions on a complex plane. We extend the study on the different types of ZQ-symmetric model and different lattices in order to provide more evidence to the existence of multiple phase transitions. We focus on the ZQ-symmetric model with the nearest neighbour interaction on the six spin directions between molecular dipole, i.e. Q = 6 on a triangular lattice. Mainly, the model is defined on the triangular lattice graph with the nearest neighbour interaction. By using the transfer matrix approach, the partition functions are computed for increasing lattice sizes. The roots of polynomial partition function are also computed and plotted in the complex Argand plane. The specific heat equation is used for further comparison. The result supports the existence of the multiple phase transitions by the emergence of the multiple line curves in the locus of zeros distribution for specific type of energy level.

LOW-TEMPERATURE SERIES EXPANSIONS FOR SQUARE-LATTICE ISING MODEL WITH FIRST AND SECOND NEIGHBOUR INTERACTIONS

2002 ◽  
Vol 16 (32) ◽  
pp. 4911-4917
Author(s):  
YEE MOU KAO ◽  
MALL CHEN ◽  
KEH YING LIN
Keyword(s):  
Critical Temperature ◽  
Ising Model ◽  
Low Temperature ◽  
Spontaneous Magnetization ◽  
Temperature Series ◽  
Square Lattice ◽  
Series Expansions ◽  
Zero Field ◽  
Ferromagnetic Ising Model ◽  
Neighbour Interaction

We have calculated the low-temperature series expansions of the spontaneous magnetization and the zero-field susceptibility of the square-lattice ferromagnetic Ising model with first-neighbour interaction J1 and second-neighbour interaction J2 to the 30th and 26th order respectively by computer. Our results extend the previous calculations by Lee and Lin to six more orders. We use the Padé approximants to estimate the critical exponents and the critical temperature for different ratios of R = J2/J1. The estimated critical temperature as a function of R agrees with the estimation by Oitmaa from high-temperature series expansions.

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