1. Entanglement and quantum phase transition in alternating XY spin chain with next-nearest neighbouring interactions.
- Author
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Shan Chuan, Cheng Wei, Liu Tang, Huang Yan, Xia and, and Li Hong
- Subjects
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PHASE transitions , *STATISTICAL correlation , *NEAREST neighbor analysis (Statistics) , *RENORMALIZATION (Physics) , *QUANTUM theory , *MAGNETIC fields , *FERROMAGNETISM - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2008
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