The critical behavior of two-dimensional O(N) σ models with N ≤ 2 on the square, triangular, and honeycomb lattices is investigated by an analysis of the strong-coupling expansion of the two-point fundamental Green’s function G(x), calculated up to 21st order on the square lattice, 15th order on the triangular lattice, and 30th order on the honeycomb lattice. For N < 2 the critical behavior is ...

Submitted for the MAR12 Meeting of The American Physical Society Majority-vote model on a dynamic small-world square lattice THOMAS E. STONE, Husson University, SUSAN R. MCKAY, University of Maine — Majority-vote models are often used to study consensus building, coarsening dynamics, and phase transitions, among other phenomena. In addition to the microscope rules governing a particular model, ...

We study possible quantum phases of the Heisenberg antiferromagnet on the planar pyrochlore lattice, also known as the checkerboard lattice or the square lattice with crossings. It is assumed that the exchange coupling on the square-lattice-links is not necessarily the same as those along the crossing links. When all the couplings are the same, this model may be regarded as a two dimensional an...

Abstract Three new iridium aluminum intermetallics CaAl 4 Ir 2 , SrAl and EuAl were synthesized from the elements using silica or tantalum ampoules. They crystallize in tetragonal crystal system with space group P 4/ ncc lattice parameters of a = 782.20(1) c 779.14(2) pm for 797.62(1) 772.75(2) finally 791.78(5) 773.31(5) . All compounds isostructurally adopt structure type that can be derived ...

The perturbation approach is used to derive the exact correlation length ξ of the dilute AL lattice models in regimes 1 and 2 for L odd. In regime 2 the A3 model is the E8 lattice realisation of the two-dimensional Ising model in a magnetic field h at T = Tc. When combined with the singular part fs of the free energy the result for the A3 model gives the universal amplitude fs ξ 2 = 0.061 728 ....

The square root of the positive definite hermitian operator D† wDw in Neuberger’s proposal of exactly massless quarks on the lattice is implemented by the recursion formula Yk+1 = 1 2(Yk +D † wDwY −1 k ) with Y0 = 1I, where Y 2 k converges to D † wDw quadratically. The spectrum of the lattice Dirac operator for single massless fermion in two dimensional background U(1) gauge fields is investiga...

The square root of the positive definite hermitian operator D† wDw in Neuberger’s proposal of exactly massless quarks on the lattice is implemented by the recursion formula Yk+1 = 1 2 (Yk +D † wDwY −1 k ) with Y0 = 1I, where Y 2 k converges to D † wDw quadratically. The spectrum of the lattice Dirac operator for single massless fermion in two dimensional background U(1) gauge fields is investig...

We describe an algorithm for the Rosenbluth Monte Carlo enumeration of clusters and lattice animals. The method may also be used to calculate associated properties such as moments or perimeter multiplicities of the clusters. The scheme is an extension of the Rosenbluth method for growing polymer chains and is a simplification of a scheme reported earlier by one of the authors. The algorithm may...

  Nonlinear Dust lattice modes are studied in a hexagonal two-dimensional dusty plasma lattice, in presence of charge gradient of dust particles. In this lattice, such gradients affect nonlinear behavior of dust lattice waves. The amplitude modulation of off-plane transverse dust lattice wave packets is investigated considering the anisotropy of interactions, caused by the height-dependent char...

The phase diagram for a two-dimensional self-avoiding walk model on the square lattice incorporating attractive short-ranged interactions between parallel sections of walk is derived using numerical transfer matrix techniques. The model displays a collapse transition. In contrast to the standard θ-point model, the transition is first order. The phase diagram in the full fugacity-temperature pla...