Non-Fermi liquid regime of a doped Mott insulator

Olivier Parcollet; Antoine Georges

doi:10.1103/PhysRevB.59.5341

paper

Non-Fermi liquid regime of a doped Mott insulator

arXiv:cond-mat/9806119 · doi:10.1103/PhysRevB.59.5341

Abstract

We study the doping of a Mott insulator in the presence of quenched frustrating disorder in the magnetic exchange. A low doping regime $δ < J / t$ is found, in which the quasiparticle coherent scale is low : $ε_{F}^{*} = J (δ / δ^{*})^{2}$ with $δ^{*} = J / t$ (the ratio of typical exchange to hopping). In the ``quantum critical regime'' $ε_{F}^{*} < T < J$ , several physical quantities display Marginal Fermi Liquid behaviour : NMR relaxation time $1/ T_{1} \sim co n s t .$ , resistivity $ρ_{d c} (T) \propto T$ , optical lifetime $τ_{opt}^{-1}\propto ω/\ln(ω/\epstar)$ and response functions obey $ω / T$ scaling, e.g. $J \sum_{q} χ^{''} (q, ω) \propto tanh (ω /2 T)$ . In contrast, single-electron properties display stronger deviations from Fermi liquid theory in this regime with a $ω$ dependence of the inverse single-particle lifetime and a $1/ ω$ decay of the photoemission intensity. On the basis of this model and of various experimental evidence, it is argued that the proximity of a quantum critical point separating a glassy Mott-Anderson insulator from a metallic ground-state is an important ingredient in the physics of the normal state of cuprate superconductors (particularly the Zn-doped materials). In this picture the corresponding quantum critical regime is a ``slushy'' state of spins and holes with slow spin and charge dynamics responsible for the anomalous properties of the normal state.

40 pages, RevTeX, including 13 figures in EPS. v2 : minor changes, some references added

Non-Fermi liquid regime of a doped Mott insulator

Abstract

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