Entanglement and quantum phase transition in alternating XY spin chain with next-nearest neighbour interactions

Details Entanglement and quantum phase transition in alternating XY spin chain with next-nearest neighbour interactions Entanglement and quantum phase transition in alternating XY spin chain with next-nearest neighbour interactions

2008-08-27

arxiv.org/abs/0808.3686v1

Physics

Quantum Physics

13 pages, 4 figures,. accepted by Chinese Physics B 2008 11 (in press)

Scientific paper

10.1088/1674-1056/17/11/011

By using the method of density-matrix renormalization-group to solve the different spin-spin correlation functions, the nearest-neighbouring entanglement(NNE) and next-nearest-neighbouring entanglement(NNNE) of one-dimensional alternating Heisenberg XY spin chain is investigated in the presence of alternating nearest neighbour interactions of exchange couplings, external magnetic fields and next-nearest neighbouring interactions. For dimerized ferromagnetic spin chain, NNNE appears only above the critical dimerized interaction, meanwhile, the dimerized interaction effects quantum phase transition point and improves NNNE to a large value. We also study the effect of ferromagnetic or antiferromagnetic next-nearest neighboring (NNN) interactions on the dynamics of NNE and NNNE. The ferromagnetic NNN interaction increases and shrinks NNE below and above critical frustrated interaction respectively, while the antiferromagnetic NNN interaction always decreases NNE. The antiferromagnetic NNN interaction results to a larger value of NNNE in comparison to the case when the NNN interaction is ferromagnetic.

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