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

Abstract

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.

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

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Cited by in corpus (10)

• Structural Transitions, Melting, and Intermediate Phases for Stripe and Clump Forming Systems
• Anisotropic Sliding Dynamics, Peak Effect, and Metastability in Stripe Systems
• Single-Particle Density of States of a Superconductor with a Spatially Varying Gap and Phase Fluctuations
• Frustration induced highly anisotropic magnetic patterns in classical $XY$ model on kagome lattice
• Effects of inhomogeneities and thermal fluctuations on the spectral function of a model d-wave superconductor
• On the nature of striped phases: Striped phases as a stage of "melting" of 2D crystals
• Long-range Ising spins models emerging from frustrated Josephson junctions arrays with topological constraints
• Non-equilibrium vortex annealing of structural disorder in Berezinskii-Kosterlitz-Thouless dynamics of two-dimensional XY-model
• Quantum dynamics of frustrated Josephson junction arrays embedded in a transmission line: an effective XX spin chain with long-range interaction
• Stability and properties of striped phases in systems of interacting fermions or hard-core bosons