128 citations · 224 across the 4 of their papers we have counts for
6 papers
Symplectic integrators for classical spin systems
Robin Steinigeweg, Heinz-Jürgen Schmidt
We suggest a numerical integration procedure for solving the equations of motion of certain classical spin systems which preserves the underlying symplectic structure of the phase…
Metamagnetic phase transition of the antiferromagnetic Heisenberg icosahedron
Christian Schröder, Heinz-Jürgen Schmidt, Jürgen Schnack +1
The observation of hysteresis effects in single molecule magnets like Mn-acetate has initiated ideas of future applications in storage technology. The appearance of a hyster…
Exact eigenstates and macroscopic magnetization jumps in strongly frustrated spin lattices
J. Richter, J. Schulenburg, A. Honecker +2
For a class of frustrated spin lattices including e.g. the 1D sawtooth chain, the 2D kagomé and checkerboard, as well as the 3D pyrochlore lattices we construct exact product eigen…
Symmetric polynomials in physics
Heinz-Juergen Schmidt, Juergen Schnack
We give two examples where symmetric polynomials play an important role in physics: First, the partition functions of ideal quantum gases are closely related to certain symmetric p…
Classical ground states of symmetrical Heisenberg spin systems
Heinz-Juergen Schmidt, Marshall Luban
We investigate the ground states of classical Heisenberg spin systems which have point group symmetry. Examples are the regular polygons (spin rings) and the seven quasi-regular po…
On cyclically shifted strings
K. Baerwinkel, H. -J. Schmidt, J. Schnack
If a string is cyclically shifted it will re-appear after a certain number of shifts, which will be called its order. We solve the problem of how many strings exist with a given or…