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

Journal Article · Mon Feb 01 00:00:00 EST 2010 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.81.064412· OSTI ID:21366679

Dusuel, Sebastien ^[1]; Kamfor, Michael; Schmidt, Kai Phillip ^[2]; Thomale, Ronny ^[2]; Vidal, Julien ^[3]

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1. Lycee Saint-Louis, 44 Boulevard Saint-Michel, 75006 Paris (France)
2. Lehrstuhl fuer Theoretische Physik I, Otto-Hahn-Strasse 4, TU Dortmund, 44221 Dortmund (Germany)
3. Laboratoire de Physique Theorique de la Matiere Condensee, CNRS UMR 7600, Universite Pierre et Marie Curie, 4 Place Jussieu, 75252 Paris Cedex 05 (France)

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.

• OSTI ID: 21366679
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Vol. 81, Issue 6; Other Information: DOI: 10.1103/PhysRevB.81.064412; (c) 2010 The American Physical Society; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOUND STATE
EXCITATION
EXPANSION
HEISENBERG MODEL
ISING MODEL
LATTICE FIELD THEORY
MAGNETIC FIELDS
SIMULATION
SPIN
TETRAGONAL LATTICES
TWO-DIMENSIONAL CALCULATIONS
ANGULAR MOMENTUM
CONSTRUCTIVE FIELD THEORY
CRYSTAL LATTICES
CRYSTAL MODELS
CRYSTAL STRUCTURE
ENERGY-LEVEL TRANSITIONS
FIELD THEORIES
MATHEMATICAL MODELS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY