Berlin 2005 – wissenschaftliches Programm

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TT: Tiefe Temperaturen

TT 16: Posters Correlated Electrons, Measuring Devices, Cryotechnique

TT 16.66: Poster

Samstag, 5. März 2005, 11:00–16:30, Poster TU C

Parent Hamiltonian for the SU(3) trimer chain — •Stephan Rachel, Dirk Schuricht, and Martin Greiter — Institut für Theorie der Kondensierten Materie, Universität Karlsruhe (TH), Postfach 6980, D-76128 Karlsruhe

In analogy to the Majumdar–Gosh model, which describes a dimerized chain of SU(2) spins, we present a Hamiltonian for an SU(3) spin chain, the ground state of which consists of SU(3) singlets of triples of neighboring spins. This Hamiltonian is local, translationally invariant, and consists only of two-spin interactions. We use the model to show that the fractionally quantized elementary excitations of the SU(3) trimer chain, the colorons, transform under representation 3 under SU(3) transformations if the spins of the original model transform under representation 3. In other words, if a basis for the spins on the chain is spanned by the colors blue, red, and green, a basis for the coloron excitations is given by the complementary colors yellow, cyan, or magenta.