Superconductivity Versus Phase Separation, Stripes, and Checkerboard Ordering: A Two-Dimensional Monte Carlo Study

Details Superconductivity Versus Phase Separation, Stripes, and Checkerboard Ordering: A Two-Dimensional Monte Carlo Study Superconductivity Versus Phase Separation, Stripes, and Checkerboard Ordering: A Two-Dimensional Monte Carlo Study

2005-11-04

arxiv.org/abs/cond-mat/0511132v1

Physics

Condensed Matter

Superconductivity

30 pages, 10 figures. Accepted by Physical Review B, scheduled issue 01 Dec 2005

Scientific paper

10.1103/PhysRevB.72.214501

Using Monte Carlo techniques, we study a simple model which exhibits a competition between superconductivity and other types of order in two dimensions. The model is a site-diluted XY model, in which the XY spins are mobile, and also experience a repulsive interaction extending to one, two, or many shells of neighbors. Depending on the strength and range of the repulsion and spin concentration, the spins arrange themselves into a remarkable variety of patterns at low temperatures $T$, including phase separation, checkerboard order, and straight or labyrinthine patterns of stripes, which sometimes show hints of nematic or smectic order. This pattern formation profoundly affects the superfluid density, $\gamma$. Phase separation tends to enhance $\gamma$, checkerboard order suppresses it, and stripe formation increases the component of $\gamma$ parallel to the stripes and reduces the perpendicular one. We verify that $\gamma(T = 0)$ is proportional to the effective conductance of a random conductance network whose conductances equal the couplings of the XY system. Possible connections between the model and real materials, such as single high-T$_c$ cuprate layers, are briefly discussed.

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