arXiv subjects

M. A. Przedborski

Publications and source records attributed to M. A. Przedborski.

3 recordsLinked to original sources

arXiv2013

Absence of phase transition in the XY-model on Menger sponge

We have performed a Monte Carlo study of the classical XY-model on a Menger sponge with the Wolff cluster algorithm (U. Wolff, 1989). The Menger sponge is a fractal object with infinite order of ramification and fractal dimension D = log(20)/log(3) = 2.7268. From the dependence of the helicity modulus on system size and on boundary conditions, we conclude that there is no phase transition in the system at any finite temperature.

cond-mat.stat-mech↗

arXiv2013

Monte Carlo study of the XY-model on Sierpnski carpet

We have performed a Monte Carlo study of the classical XY-model on a Sierpi\' nski carpet, which is a planar fractal structure with infinite order of ramification and fractal dimension 1.8928. We employed the Wolff cluster algorithm in our simulations and our results, in particular those for the susceptibility and the helicity modulus, indicate the absence of finite-temperature Berezinskii-Kosterlitz-Thouless (BKT) transition in this system.

cond-mat.stat-mech↗

arXiv2013

Interaction between domain walls in chiral p-wave superconductors

We calculate microscopically the interaction energy of domain walls separating degenerate ground states in a chiral p-wave superconductor. The interaction is mediated by the quasiparticles experiencing Andreev scattering at the domain walls. As a by-product, we derive a useful general expression for the free energy of an arbitrary nonuniform texture of the order parameter in terms of the quasiparticle scattering matrix.

cond-mat.supr-con↗