Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2010-05-13
Phys. Rev. B 82, 104404 (2010)
Physics
Condensed Matter
Strongly Correlated Electrons
8 pages, 5 figures, references added, published version
Scientific paper
10.1103/PhysRevB.82.104404
We introduce a real-space exact renormalization group method to find exactly solvable quantum spin chains and their ground states. This method allows us to provide a complete list for exact solutions within SU(2) symmetric quantum spin chains with $S\leq 4$ and nearest-neighbor interactions, as well as examples with S=5. We obtain two classes of solutions: One of them converges to the fixed points of renormalization group and the ground states are matrix product states. Another one does not have renormalization fixed points and the ground states are partially ferromagnetic states.
Sanz Mikel
Tu Hong-Hao
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