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We investigate filling dependence of the zigzag Hubbard ladder, using densitymatrix renormalization group method. We illustrate the chemical-potential vs.electron-density and spin gap vs. electron density curves, which reflectcharacteristic properties of the electron state.On the basis of the obtainedphase diagram, we discuss the connection to a novel quasi-one-dimensionalsuperconductor Pr$_2$Ba$_4$Cu$_7$O$_{15-\delta}$.Comment: 5 pages, 6 figures, fig.4 is adde

physical review. b, condensed matter and materials physics

Filling dependence of the zigzag Hubbard ladder for the quasi-one-dimensional superconductor<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Pr</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Ba</mml:mi><mml:mn>4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Cu</mml:mi><mml:mn>7</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mn>15</mml:mn><mml:mo…

Filling dependence of the zigzag Hubbard ladder for the quasi-one-dimensional superconductorPr2Ba4Cu7O15