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We reinvestigate a doped antiferromagnetic Mott insulator based on theslave-fermion approach of the t-J model, where antiferromagnetic spinfluctuations and doped holes are described by bosonic spinons and fermionicholons, respectively. Earlier studies have shown that an effective field theoryfor the doped antiferromagnetic Mott insulator is given by a non-relativisticfermion (holon) U(1) gauge theory for charge dynamics and a relativistic boson(spinon) U(1) gauge theory for spin dynamics, thus allowing an anomalousmetallic phase where bosonic spinons are gapped away from an antiferromagneticstate, analogous to the U(1) spin liquid phase in the slave-boson approach ofthe t-J model. We argue that the emergent U(1) gauge structure in this approachis based on a simplified picture for antiferromagnetic correlations.Considering that dynamics of doped holes frustrates a collinearantiferromagnetic spin configuration, we show that doped holes enhanceferromagnetic spin correlations and result in a complex magnetic structure. Thepresence of such a complex spin texture reduces the U(1) gauge structure downto Z$_{2}$, thus a different effective field theory results for the spin-gappednon-Fermi liquid metal at low temperatures because there are no gapless U(1)gauge fluctuations.

A slave-fermion gauge-theory approach of the t-J model: Doping-induced  complex magnetic structure and Z$_{2}$ spin-gapped anomalous metal in an  antiferromagnetic doped Mott insulator