Quasiparticle spectrum in a nearly antiferromagnetic Fermi liquid: shadow and flat bands

Abstract

We consider a two-dimensional Fermi liquid in the vicinity of a spin-density-wave transition to a phase with commensurate antiferromagnetic long-range order. We assume that near the transition, the Fermi surface is large and crosses the magnetic Brillouin zone boundary. We show that under these conditions, the self-energy corrections to the dynamical spin susceptibility, $\chi (q,\omega )$, and to the quasiparticle spectral function function, $A(k,\omega )$, are divergent near the transition. We identify and sum the series of most singular diagrams, and obtain a solution for $\chi (q,\omega )$ and an approximate solution for $A(k,\omega )$. We show that (i) $A(k)$ at a given, small $\omega$ has an extra peak at $k=k_F+\pi$ (`shadow band'), and (ii) the dispersion near the crossing points is much flatter than for free electrons. The relevance of these results to recent photoemission experiments in $YBCO$ and $Bi2212$ systems is discussed.

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References in corpus (4)

• Antiferromagnetic and van Hove Scenarios for the Cuprates: Taking the Best of Both Worlds
• Photoemission spectra of $\mathrm{S}{\mathrm{r}}_2\mathrm{Cu}{\mathrm{O}}_2\mathrm{C}{\mathrm{l}}_2$: a theoretical analysis
• Observation of a van Hove Singularity in $B{i}_{2}S{r}_{2}C{a}_{1}C{u}_2{O}_{8+x}$ with Angle Resolved Photoemission
• Quantum Disordered Regime and Spin Gap in the Cuprate Superconductors

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