Electronic structure of underdoped cuprates

Details Electronic structure of underdoped cuprates Electronic structure of underdoped cuprates

1997-01-28

arxiv.org/abs/cond-mat/9701196v1

Physics

Condensed Matter

Strongly Correlated Electrons

19 pages, RevTeX, 15 figures embedded in the text, submitted to Phys. Rep., ps-file is also available at http://lifshitz.phy

Scientific paper

10.1016/S0370-1573(97)00033-1

We consider a two-dimensional Fermi liquid coupled to low-energy commensurate spin fluctuations. At small coupling, the hole Fermi surface is large and centered around $Q =(\pi,\pi)$. We show that as the coupling increases, the shape of the quasiparticle Fermi surface and the spin-fermion vertex undergo a substantial evolution. At strong couplings, $g \gg \omega_0$, where $\omega_0$ is the upper cutoff in the spin susceptibility, the hole Fermi surface consists of small pockets centered at $(\pm \pi/2, \pm \pi/2)$. Simultaneously, the full spin-fermion vertex is much smaller than the bare one, and scales nearly linearly with $|q-Q|$, where $q$ is the momentum of the susceptibility. At intermediate couplings, there exist both, a large hole Fermi surface centered at $(\pi,\pi)$, and four hole pockets, but the quasiparticle residue is small everywhere except for the pieces of the pockets which face the origin of the Brillouin zone. The relevance of these results for recent photoemission experiments in $YBCO$ and $Bi2212$ systems is discussed.

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