Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2005-11-22
J. Phys. A: Math. Gen. 39, 11145 - 11153 (2006)
Physics
Condensed Matter
Strongly Correlated Electrons
9 pages, 3 figures, 1 table
Scientific paper
10.1088/0305-4470/39/36/002
We consider the model of strongly-correlated system of electrons described by an extended Falicov-Kimball Hamiltonian where the stability of some axial and diagonal striped phases was proved. Introducing a next-nearest-neighbor hopping, small enough not to destroy the striped structure, we examine rigorously how the presence of the next-nearest-neighbor hopping anisotropy reduces the $\pi/2$-rotation degeneracy of the diagonal-striped phase. The effect appears to be similar to that in the case of anisotropy of the nearest-neighbor hopping: the stripes are oriented in the direction of the weaker next-nearest-neighbor hopping.
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