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Continuous quantum phase transition between two topologically distinct valence bond solid states associated with the same spin value

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arxiv 1002.0171 v2 pith:W3KH2BAE submitted 2010-02-01 cond-mat.str-el quant-ph

Continuous quantum phase transition between two topologically distinct valence bond solid states associated with the same spin value

classification cond-mat.str-el quant-ph
keywords phasestatesbonddistinctquantumsolidtopologicallytransition
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We propose a simple one-dimensional spin-2 Hamiltonian, which exhibits two topologically distinct valence bond solid states in different exactly solvable limits. We then construct the phase diagram and study the quantum phase transition between these states using the infinite time evolving block decimation algorithms. From the scaling relation between the entanglement entropy and correlation length, we find that the central charge for the underlying critical conformal field theory is $c=2$.

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