Abstract
The spin transport in the neighborhood of a quantum phase transition in the two-dimensional compass model is studied. The model presents Heisenberg compass interactions of amplitudes Jx and Jz and next and next-nearest neighbor Heisenberg interactions J1 and J2. Where the Heisenberg interactions are isotropic in spin space, but the compass interactions depending on the bond direction. Our results show a conductivity varying a little with the behavior of critical parameters η = J2∕J1, Jz and Jx. Hence, we obtain a little variation of the phase transition to magnetically ordered phase on conductivity. Besides, we obtain a conventional conductor behavior for the AC spin transport in the limit ω → 0 or DC limit.
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