DOMAIN WALL RENORMALIZATION GROUP ANALYSIS OF TWO-DIMENSIONAL ISING MODEL
2009 ◽
Vol 23
(18)
◽
pp. 3739-3751
◽
Keyword(s):
Using a recently proposed new renormalization group method (tensor renormalization group), we analyze the Ising model on the two-dimensional square lattice. For the lowest-order approximation with two-domain wall states, it realizes the idea of coarse graining of domain walls. We write down explicit analytic renormalization transformation and prove that the picture of the coarse graining of the physical domain walls does hold for all physical renormalization group flows. We solve it to get the fixed point structure and obtain the critical exponents and the critical temperature. These results are very near to the exact values. We also briefly report the improvement using four-domain wall states.
2001 ◽
Vol 16
(11)
◽
pp. 1889-1898
1988 ◽
Vol 02
(01)
◽
pp. 13-35
◽
1992 ◽
Vol 104-107
◽
pp. 251-252
Keyword(s):
2006 ◽
Vol 75
(7)
◽
pp. 074701
◽
1989 ◽
Vol 55
(1-2)
◽
pp. 29-85
◽
Keyword(s):
1983 ◽
Vol 31-34
◽
pp. 1265-1267
◽
2000 ◽
Vol 14
(12n13)
◽
pp. 1363-1398
1997 ◽
Vol 101
(3-4)
◽
pp. 249-269
◽
Keyword(s):