Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-10-19
Physics
Condensed Matter
Strongly Correlated Electrons
5 pages, 1 figure; v2: Text improved. The final third of the preprint has been thoroughly revised
Scientific paper
We demonstrate that the low-energy effective theory for a deconfined quantum critical point in $d=2+1$ dimensions contains a leading order contribution given by the Faddeev-Skyrme model. The Faddeev-Skyrme term is shown to give rise to the crucial Maxwell term in the CP$^1$ field theory governing the deconfined quantum critical point. We derive the leading contribution to the spin stiffness near the quantum critical point and show that it exhibits a logarithmic correction to scaling of the same type as recently observed numerically in low dimensional models of quantum spin systems featuring a quantum critical point separating an antiferromagnetically ordered state from a valence bond solid state. These corrections, appearing away from upper or lower critical dimensions, reflect an emergent gauge symmetry of low-dimensional antiferromagnetic quantum spin systems.
Nogueira Flavio S.
Sudbo Asle
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