Abstract
We investigate a string-density wave state in the underdoped region of high- T c cuprates theoretically based on the two-dimensional Hubbard model. There is a tendency towards a formation of stripes in the low-doping region due to the lattice distortion and strong Coulomb interaction. The tilt of CuO octahedra induces transfer integrals between p x, y -orbitals and Cu t 2g-orbitals, which brings about the spin-orbit interaction for the d electrons in the CuO plane. The spin-orbit interaction induces a flux state with time-reversal symmetry breaking; then the striped state with a flux, which is a generalization of d-density wave, is stabilized from the under to lightly doped region. This state shows a pseudogap behavior due to a modification of the electron dispersion relation in the presence of flux. It is shown that the spin-orbit interaction stabilizes the diagonal-striped state in the lightly doped region.
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