The tensor renormalization group study of the general spin-S Blume-Capel model

Details The tensor renormalization group study of the general spin-S Blume-Capel model The tensor renormalization group study of the general spin-S Blume-Capel model

2012-04-23

arxiv.org/abs/1204.5027v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 7 figures

Scientific paper

We focus on the special parameter point $D=2J$ of the general spin-S Blume-Capel model on the square lattice. The phase transition behaviors with the temperature variation are discussed by the newly developed tensor renormalization group method. For the case of the integer spin-S, the system will undergo $S$ first-order phase transitions with the successive spontaneous breaking of the magnetization $M=S,S-1,...0$. For the half-integer spin-S, there are similar $S-1/2$ first order phase transition with $M=S,S-1,...1/2$ stepwise structure, in addition, there is a continuous phase transition due to the spin-flip $Z_2$ symmetry breaking. For the first order phase transitions, the location of the critical temperature is the same, independent of the value of the spin-S. It is a different picture compared to the previous results $T_c=0$.

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