Spin supercurrent and effect of quantum phase transition in the two-dimensional XY model

•The quantum phase diagram (QTP) of the model has been described.•The spin current operator and the spin conductivity have been gotten.•The influence of the QTP on spin conductivity has been analyzed. We have verified the influence of quantum phase transition on spin transport in the spin-1 two-dime...

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Bibliographic Details
Published in:Physica. C, Superconductivity Superconductivity, 2018-04, Vol.547, p.22-26
Main Author: Lima, L.S.
Format: Article
Language:English
Subjects:
Anisotropy
Conductivity
Excitons
Fluids
Heat conductivity
Phase transitions
Quantum dots
Scattering
Superfluidity
Transport
Two dimensional models
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Summary:•The quantum phase diagram (QTP) of the model has been described.•The spin current operator and the spin conductivity have been gotten.•The influence of the QTP on spin conductivity has been analyzed. We have verified the influence of quantum phase transition on spin transport in the spin-1 two-dimensional XY model on the square lattice, with easy plane, single ion and exchange anisotropy. We analyze the effect of the phase transition from the Néel phase to the paramagnetic phase on the AC spin conductivity. Our results show a bit influence of the quantum phase transition on the conductivity. We also obtain a conventional spin transport for ω > 0 and an ideal spin transport in the limit of DC conductivity and therefore, a superfluid spin transport for the DC current in this limit. We have made the diagrammatic expansion for the Green-function with objective to include the effect exciton–exciton scattering on the results.
ISSN:0921-4534
1873-2143
DOI:10.1016/j.physc.2018.01.010