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Highly Scalable Quantum Transfer Matrix Simulations of Molecule-Based Nanomagnets on a Parallel IBM BlueGene/P Architecture

Antkowiak M., Kucharski Ł., Matysiak R., Kamieniarz G.

Computational Methods in Science and Technology

2016

Vol. 22, No. 2

87--93

In this work we present a very efficient scaling of our two applications based on the quantum transfer matrix method which we exploited to simulate the thermodynamic properties of Cr9 and Mn6 molecules as examples of the uniform and non-uniform molecular nanomagnets. The test runs were conducted on the IBM BlueGene/P supercomputer JUGENE of the Tier-0 performance class installed in the Jülich Supercomputing Centre.

Spin waves in one dimensional magnetic material

Wijesinhe H. S, Wijewardena Gamalath K. A. I. L.

International Letters of Chemistry, Physics and Astronomy

2015

Vol. 47

24--39

Using Heisenberg model, the equations of motion for the dynamic properties of spin waves in three dimensions were obtained and solved analytically up to an exponential operator representation. Second order Suzuki Trotter decomposition method with evolution operator solution was applied to obtain the numerical solutions by making it closer to real spin systems. Computer based simulations on systems in micro canonical ensembles in constant-energy states were used to check the applicability of this model for one dimensional lattice by investigating the occurrence, temperature dependence and spin-spin interaction dependence of the spin waves. A visualization technique was used to show the existence of many spin wave components below the Curie temperature of the system. In the magnon dispersion curves all or most of the spin wave components could be recognized as peaks in the dynamic structure factor. Energy conservation of the algorithm is also shown.

Gauge symmetry in models of high temperature superconductors

Przeszowski J.

Journal of Technical Physics

2001

Vol. 42, no 4

389-396

Gauge symmetry which appears in the slave-mode approach to the t-J model of high temperature superconductivity is presented. The mean field analysis of these microscopic models lead to the continuum gauge field systems with infinitely strong coupling constant. The viability of the perturbative calculations (with finite coupling constant) are illustrated with a particularly simple field theory model. Exact resummation of the perturbation series is discussed for the Heisenberg model of strongly interacting spins in 1 + 1 dimensions which is approximated by the Schwinger model.