Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-03-10
Physics
Condensed Matter
Statistical Mechanics
15 pages, 1 figure
Scientific paper
We define a new family of matrix product states which are exact ground states of spin 1/2 Hamiltonians on one dimensional lattices. This class of Hamiltonians contain both Heisenberg and Dzyaloshinskii-Moriya interactions but at specified and not arbitrary couplings. We also compute in closed forms the one and two-point functions and the explicit form of the ground state. The degeneracy structure of the ground state is also discussed.
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