scholarly journals Improved upper and lower energy bounds for antiferromagnetic Heisenberg spin systems

2003 ◽  
Vol 33 (3) ◽  
pp. 285-292 ◽  
Author(s):  
K. B�rwinkel ◽  
H.-J. Schmidt ◽  
J. Schnack
Keyword(s):  
Lower Energy ◽  
Spin Systems ◽  
Heisenberg Spin ◽  
Energy Bounds

scholarly journals Linear energy bounds for Heisenberg spin systems

2002 ◽  
Vol 35 (31) ◽  
pp. 6545-6555 ◽  
Author(s):  
Heinz-J$uuml$rgen Schmidt
Keyword(s):  
Spin Systems ◽  
Heisenberg Spin ◽  
Energy Bounds

scholarly journals Optimal phase space sampling for Monte Carlo simulations of Heisenberg spin systems

2019 ◽  
Vol 31 (9) ◽  
pp. 095802 ◽  
Author(s):  
J D Alzate-Cardona ◽  
D Sabogal-Suárez ◽  
R F L Evans ◽  
E Restrepo-Parra
Keyword(s):  
Monte Carlo ◽  
Phase Space ◽  
Monte Carlo Simulations ◽  
Spin Systems ◽  
Heisenberg Spin

scholarly journals THE GENERAL SPIN TRIANGLE

2013 ◽  
Vol 27 (16) ◽  
pp. 1350064 ◽  
Author(s):  
HEINZ-JÜRGEN SCHMIDT
Keyword(s):  
Classical System ◽  
Spin Systems ◽  
Coupling Coefficients ◽  
Quantum Case ◽  
Permutational Symmetry ◽  
Heisenberg Spin ◽  
Tridiagonal Matrices ◽  
Spin Quantum ◽  
Spin Quantum Number ◽  
High Temperature Expansion

We consider the Heisenberg spin triangle with general coupling coefficients and general spin quantum number s. The corresponding classical system is completely integrable. In the quantum case the eigenvalue problem can be reduced to that of tridiagonal matrices in at most 2s+1 dimensions. The corresponding energy spectrum exhibits what we will call spectral symmetries due to the underlying permutational symmetry of the considered class of Hamiltonians. As an application we explicitly calculate six classes of universal polynomials that occur in the high temperature expansion of spin triangles and more general spin systems.

Sign in / Sign up

Export Citation Format

Share Document