Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2009-12-08
Phys. Rev. B 81, 064412 (2010)
Physics
Condensed Matter
Strongly Correlated Electrons
21 pages, 18 figures, published version
Scientific paper
10.1103/PhysRevB.81.064412
We analyze the properties of low-energy bound states in the transverse-field Ising model and in the XXZ model on the square lattice. To this end, we develop an optimized implementation of perturbative continuous unitary transformations. The Ising model is studied in the small-field limit which is found to be a special case of the toric code model in a magnetic field. To analyze the XXZ model, we perform a perturbative expansion about the Ising limit in order to discuss the fate of the elementary magnon excitations when approaching the Heisenberg point.
Dusuel S.
Kamfor M.
Schmidt Kai P.
Thomale Ronny
Vidal Jordi
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