Interplay between incommensurate phases in the cuprates

M. Raczkowski; R. Frésard; A. M. Oleś

doi:doi:10.1209/epl/i2006-10227-1

Europhys. Lett., 76 (1), pp. 128-134 (2006)
DOI: 10.1209/epl/i2006-10227-1

Interplay between incommensurate phases in the cuprates

M. Raczkowski¹, R. Frésard² and A. M. Oles^{1, 3}

¹ Marian Smoluchowski Institute of Physics, Jagellonian University ul. Reymonta 4, PL-30059 Kraków, Poland
² Laboratoire CRISMAT, UMR CNRS-ENSICAEN(ISMRA) 6508 6 Bld. du Maréchal Juin, F-14050 Caen, France
³ Max-Planck-Institut für Festkörperforschung Heisenbergstrasse 1, D-70569 Stuttgart, Germany

received 25 May 2006; accepted in final form 4 August 2006
published online 30 August 2006

Abstract
We establish the qualitative behavior of the incommensurability $\epsilon$ , optimal domain wall filling $\nu$ and chemical potential $\mu$ for increasing doping by a systematic slave-boson study of an array of vertical stripes separated by up to d=11 lattice constants. Our findings obtained in the Hubbard model with the next-nearest neighbor hopping t'=-0.15t agree qualitatively with the experimental data for the cuprates in the doping regime $x\lesssim 1/8$ . It is found that t' modifies the optimal filling $\nu$ and thus triggers the crossover to the diagonal (1,1) spiral phase at increasing doping, stabilized already at $x\simeq 0.09$ for t'=-0.3t.

PACS
74.72.-h - Cuprate superconductors (high-T_c and insulating parent compounds).
71.45.Lr - Charge-density-wave systems.
71.10.Fd - Lattice fermion models (Hubbard model, etc.).

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