For weak long-range spin systems the anomalous dimension is η=2−σ up to the Sak threshold σ*=2−η_SR, and functional RG yields new quantum critical exponents for O(N) rotor chains.
Dutta, in Phys
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Criticality of Spin Systems with Weak Long-Range Interactions
For weak long-range spin systems the anomalous dimension is η=2−σ up to the Sak threshold σ*=2−η_SR, and functional RG yields new quantum critical exponents for O(N) rotor chains.