Ground state of antiferromagnetic Heisenberg two-leg ladder in terms of the valence-bond solid picture

Chitoshi Yasuda; Hajime Takayama; Masaaki Nakamura; Munehisa Matsumoto; Synge Todo

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arxiv cond-mat/0206386 v3 pith:HPYANXB6 submitted 2002-06-20 cond-mat.str-el

Ground state of antiferromagnetic Heisenberg two-leg ladder in terms of the valence-bond solid picture

Munehisa Matsumoto , Synge Todo , Masaaki Nakamura , Chitoshi Yasuda , Hajime Takayama This is my paper

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keywords stategroundpicturechainladdersolidtwo-legantiferromagnetic

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We have proposed the plaquette-singlet solid (PSS) ground state for the spin-1 antiferromagnetic Heisenberg two-leg ladder. Based on the PSS picture, we discuss the correspondence of the PSS state to the valence-bond solid (VBS) state of the ground state of spin-2 chain by introducing an appropriate composite spin picture. When the bond alternation is introduced, there occur quantum phase transitions and each phase can be identified with that in the dimerized spin-2 chain. Furthermore, we argue that the VBS picture of spin-2S chain can be applied to the ground state of spin-S two-leg ladder.

Ground state of antiferromagnetic Heisenberg two-leg ladder in terms of the valence-bond solid picture

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