Abstract.
The properties of self-avoiding p-atic membranes restricted to spherical topology have been studied by Monte Carlo simulations of a triangulated random surface model. Spherically shaped p-atic membranes undergo a Kosterlitz-Thouless transition as expected with topology induced mutually repelling disclinations of the p-atic ordered phase. For flexible membranes the phase behaviour bears some resemblance to the spherically shaped case with a p-atic disordered crumpled phase and p-atic ordered, conformationally ordered (crinkled) phase separated by a KT-like transition with proliferation of disclinations. We confirm the proposed buckling of disclinations in the p-atic ordered phase, while the expected associated disordering (crumpling) transition at low bending rigidities is absent in the phase diagram.
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Hansen, A.G., Ramakrishnan, N., Sunil Kumar, P.B. et al. Numerical insights into the phase diagram of p-atic membranes with spherical topology. Eur. Phys. J. E 40, 32 (2017). https://doi.org/10.1140/epje/i2017-11515-7
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DOI: https://doi.org/10.1140/epje/i2017-11515-7