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We analyze and compare the effect of spatial and spin anisotropy on spinconductivity in a two dimensional S=1/2 Heisenberg quantum magnet on a squarelattice. We explore the model in both the Neel antiferromagnetic (AF) phase andthe collinear antiferromagnetic (CAF) phase. We find that in contrast to theeffects of spin anisotropy in the Heisenberg model, spatial anisotropy in theAF phase does not suppress the zero temperature regular part of the spinconductivity in the zero frequency limit - rather it enhances it. We alsoexplore the finite temperature effects on the Drude weight in the AF phase forvarious spatial and spin anisotropy parameters. We find that the Drude weightgoes to zero as the temperature approaches zero. At finite temperatures (withinthe collision less approximation) enhancing spatial anisotropy increases theDrude weight value and increasing spin anisotropy decreases the Drude weightvalue. In the CAF phase (within the non-interacting approximation) the zerofrequency spin conductivity has a finite value for non-zero values of thespatial anisotropy parameter. In the CAF phase increasing the spatialanisotropy parameter suppresses the regular part of the spin conductivityresponse at zero frequency. Furthermore, we find that the CAF phase displays aspike in the spin conductivity not seen in the AF phase. Inclusion of thesmallest amount of spin anisotropy causes a gap to develop in the spinconductivity response of both the AF and CAF phase. Based on these studies weconclude that materials with spatial anisotropy are better spin conductors thanthose with spin anisotropy both at zero and finite temperatures. We utilizeexchange parameter ratios for real material systems as inputs to thecomputation of spin conductivity.

the european physical journal. b, condensed matter physics/european physical journal. b, condensed matter and complex systems

Spin transport in the Neel and collinear antiferromagnetic phase of the  two dimensional spatial and spin anisotropic Heisenberg model on a square  lattice