Dimerized phase and entanglement in the one-dimensional spin-1 bilinear biquadratic model

Ai Chen (), Yao Su and Honglei Wang

The European Physical Journal B: Condensed Matter and Complex Systems, 2015, vol. 88, issue 10, 1-5

Abstract: Dimerized phase and quantum entanglement are investigated in the one-dimensional spin-1 bilinear biquadratic model. Employing the infinite matrix product state representation, groundstate wavefunctions are numerically obtained by using the infinite time evolving block decimation method in the infinite lattice system. From a bipartite entanglement measure of the groundstates, i.e., von Neumann entropy, the phase transition points can be clearly extracted. Moreover, the even-bond and odd-bond von Neumann entropies show two different values in the spontaneous dimerized phase. It implies that the quantum entanglement can distinguish the two degenerate groundstates. Then, we define a dimer entropy in the spontaneous dimerized phase. Comparing to the dimer order parameter, the dimer entropy can play a role of a local order parameter to characterize the spontaneous dimerized phase. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2015

Keywords: Solid State and Materials (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1140/epjb/e2015-60391-y

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