Quantum Criticality in Quasi-Two Dimensional Itinerant Antiferromagnets

Abstract

Quasi-two dimensional itinerant fermions in the Anti-Ferro-Magnetic (AFM) quantum-critical region of their phase diagram, such as in the Fe-based superconductors or in some of the heavy-fermion compounds, exhibit a resistivity varying linearly with temperature and a contribution to specific heat or thermopower proportional to $T\ln T$. It is shown here that a generic model of itinerant AFM can be canonically transformed such that its critical fluctuations around the AFM-vector $Q$ can be obtained from the fluctuations in the long wave-length limit of a dissipative quantum XY model. The fluctuations of the dissipative quantum XY model in 2D have been evaluated recently and in a large regime of parameters, they are determined, not by renormalized spin-fluctuations but by topological excitations. In this regime, the fluctuations are separable in their spatial and temporal dependence and have a dynamical critical exponent $z=\infty .$ The time dependence gives $\omega /T$-scaling at criticality. The observed resistivity and entropy then follow directly. Several predictions to test the theory are also given.

arXiv commentA supplementary section providing the derivation of the marginal fermi liquid single particle self energy is given and some other improvements made

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