Quantum correlations in the 1D spin-1/2 Ising model with added Dzyaloshinskii–Moriya interaction

We have considered the 1D spin-1/2 Ising model with added Dzyaloshinskii–Moriya (DM) interaction and presence of a uniform magnetic field. Using the mean-field fermionization approach the energy spectrum in an infinite chain is obtained. The quantum discord (QD) and concurrence between nearest neigh...

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Bibliographic Details
Published in:Physica A 2014-12, Vol.416, p.321-330
Main Authors: Soltani, M.R., Vahedi, J., Mahdavifar, S.
Format: Article
Language:English
Subjects:
Data processing
Dzyaloshinskii–Moriya interaction
Energy use
Ising chain
Ising model
Magnetic fields
Mathematical analysis
Neural networks
Order parameters
Quantum discord
Quantum mechanics
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Summary:We have considered the 1D spin-1/2 Ising model with added Dzyaloshinskii–Moriya (DM) interaction and presence of a uniform magnetic field. Using the mean-field fermionization approach the energy spectrum in an infinite chain is obtained. The quantum discord (QD) and concurrence between nearest neighbor (NN) spins at finite temperature are specified as a function of mean-field order parameters. A comparison between concurrence and QD is done and differences are obtained. The macroscopic thermodynamical witness is also used to detect quantum entanglement region in solids within our model. We believe our results are useful in the field of the quantum information processing. •We model spin-1/2 Ising chain with added Dzyaloshinskii–Moriya interaction.•Using the mean-field approach the energy spectrum in an infinite chain is obtained.•We have shown at T=0, ground state exists in the ferromagnetic disentangled state.•By increasing temperature quantum correlations regain and take a maximum value.•Applying longitudinal magnetic field increases the critical temperature linearly.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2014.08.017