Abstract
Based on an unrestricted Gutzwiller approximation (GA) we investigate static stripe configurations with regard to the orientation and periodicity in an extended one-band Hubbard model. A negative ratio between next-nearest-neighbor and nearest-neighbor hoppings, ${t}^{\ensuremath{'}}/t,$ as appropriate for cuprates, favors partially filled (metallic) stripes for both vertical and diagonal configurations. At around optimal doping diagonal stripes and site centered (SC) and bond centered (BC) vertical stripes become degenerate suggesting strong lateral and orientational fluctuations. We find that within the GA the resulting phase diagram is in agreement with experiment whereas it is not in the Hartree-Fock approximation due to a strong overestimation of the stripe filling. Results are in agreement with previous calculations within the three-band Hubbard model but with the role of SC and BC stripes interchanged.
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