Entanglement and quantum phase transition in alternating XY spin chain with next-nearest neighbouring interactions |
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Authors: | Shan Chuan-Ji Cheng Wei-Wen Liu Tang-Kun Huang Yan-Xia and Li Hong |
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Institution: | College of Physics and Electronic Science, Hubei Normal
University,
Huangshi 435002, China |
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Abstract: | By using the method of density-matrix renormalization-group to solve
the different spin--spin correlation functions, the
nearest-neighbouring entanglement (NNE) and the
next-nearest-neighbouring entanglement (NNNE) of one-dimensional
alternating Heisenberg XY spin chain are investigated in the
presence of alternating the-nearest-neighbouring interaction of
exchange couplings, external magnetic fields and the next-nearest
neighbouring interaction. For a dimerised ferromagnetic spin chain,
the NNNE appears only above a critical dimerized interaction,
meanwhile, the dimerized interaction a effects a quantum phase
transition point and improves the NNNE to a large extent. We also
study the effect of ferromagnetic or antiferromagnetic next-nearest
neighbouring (NNN) interaction on the dynamics of NNE and NNNE. The
ferromagnetic NNN interaction increases and shrinks the NNE below
and above a critical frustrated interaction respectively, while the
antiferromagnetic NNN interaction always reduces the NNE. The
antiferromagnetic NNN interaction results in a large value of NNNE
compared with the case where the NNN interaction is ferromagnetic. |
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Keywords: | the entanglement alternating XY
spin chain the next-nearest neighbouring interactions |
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