We rigorously establish some exact properties of reflection symmetric spin systems with antiferromagnetic crossing bonds: At least one ground state has total spin zero and a positive semidefinite coefficient matrix. The crossing bonds obey an ice rule. This augments some previous results which were limited to bipartite spin systems and is of particular interest for frustrated spin systems.
|Original language||English (US)|
|Number of pages||8|
|Journal||Physica A: Statistical Mechanics and its Applications|
|State||Published - May 1 2000|
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Condensed Matter Physics