Entanglement and quantum phase transition in a mixed-spin Heisenberg chain with single-ion anisotropy

E. Solano-Carrillo, R. Franco and J. Silva-Valencia

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 11, 2208-2214

Abstract: We study the ground-state and thermal entanglement in the mixed-spin (S,s)=(1,1/2) Heisenberg chain with single-ion anisotropy D using exact diagonalization of small clusters. In this system, a quantum phase transition is revealed to occur at the value D=0, which is the bifurcation point for the global ground state; that is, when the single-ion anisotropy energy is positive, the ground state is unique, whereas when it is negative, the ground state becomes doubly degenerate and the system has the ferrimagnetic long-range order. Using the negativity as a measure of entanglement, we find that a pronounced dip in this quantity, taking place just at the bifurcation point, serves to signal the quantum phase transition. Moreover, we show that the single-ion anisotropy helps to improve the characteristic temperatures above which the quantum behavior disappears.

Keywords: Quantum phase transitions; Single-ion anisotropy; Entanglement; Thermal entanglement (search for similar items in EconPapers)
Date: 2011
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:11:p:2208-2214

DOI: 10.1016/j.physa.2011.01.013

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