Tensor Renormalization Group and its Application
Tensor Renormalization Group and its Application
Tensor Renormalization Group and its Application
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Valence bond solid stateS=11 ⎡H = ∑ S 1 ( ) 2 2iSi+ 1Si Si+1i 2 ⎢⋅ + ⋅ +⎣ 3 3⎤⎥⎦Ψ =∑m Lm1L( )Tr Am [ ]... Am [ ] m...m1 L 1L⎛ 0 0⎞ ⎛−1 0⎞⎛0 2⎞A[ − 1] = ⎜ ⎟ A[0] = ⎜ A[1]=2 0 0 1⎟ ⎜ ⎟⎝ ⎠ ⎝ ⎠ ⎝0 0 ⎠S=1/2S=1/2Affleck, Kennedy, Lieb, Tasaki, PRL 59, 799 (1988)