Bound states in two-dimensional spin systems near the Ising limit: A quantum finite-lattice study

Details Bound states in two-dimensional spin systems near the Ising limit: A quantum finite-lattice study Bound states in two-dimensional spin systems near the Ising limit: A quantum finite-lattice study

2009-12-08

arxiv.org/abs/0912.1463v2

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.

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