352 citations · 781 across the 16 of their papers we have counts for
5 papers · 1 filter
Independent magnon states on magnetic polytopes
J. Schnack, H. -J. Schmidt, J. Richter +1
For many spin systems with constant isotropic antiferromagnetic next-neighbour Heisenberg coupling the minimal energies E_{min}(S) form a rotational band, i.e. depend approximately…
Macroscopic magnetization jumps due to independent magnons in frustrated quantum spin lattices
J. Schulenburg, A. Honecker, J. Schnack +2
For a class of frustrated spin lattices including the kagome lattice we construct exact eigenstates consisting of several independent, localized one-magnon states and argue that th…
Heisenberg exchange parameters of molecular magnets from the high-temperature susceptibility expansion
H. -J. Schmidt, J. Schnack, Marshall Luban
We provide exact analytical expressions for the magnetic susceptibility function in the high temperature expansion for finite Heisenberg spin systems with an arbitrary coupling mat…
Partition functions and symmetric polynomials
H. -J. Schmidt, J. Schnack
We find a close correspondence between certain partition functions of ideal quantum gases and certain symmetric polynomials. Due to this correspondence it can be shown that a numbe…
Bounding and approximating parabolas for the spectrum of Heisenberg spin systems
H. -J. Schmidt, J. Schnack, Marshall Luban
We prove that for a wide class of quantum spin systems with isotropic Heisenberg coupling the energy eigenvalues which belong to a total spin quantum number S have upper and lower…