Dresden 2014 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 79: Correlated Electrons - Poster Session
TT 79.38: Poster
Mittwoch, 2. April 2014, 15:00–19:00, P2
Localized states on triangular traps and low-temperature properties of the antiferromagnetic Heisenberg and repulsive Hubbard models — •Mykola Maksymenko1,3, Johannes Richter2, and Oleg Derzhko3 — 1Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38 01187 Dresden — 2Institut für theoretische Physik, Universität Magdeburg, D-39016 Magdeburg, Germany — 3Institute for Condensed Matter Physics of NAS of Ukraine
We consider the antiferromagnetic Heisenberg and the repulsive Hubbard model on two N-site one-dimensional lattices, which support dispersionless one-particle states corresponding to localized states on triangular trapping cells. We calculate the degeneracy of the ground states in the subspaces with low number of magnons or electrons as well as the contribution of these states (independent localized states) to thermodynamic quantities. Moreover, we discuss another class of low-lying eigenstates (so-called interacting localized states) and calculate their contribution to the partition function. We also discuss the effect of extra interactions, which lift the degeneracy present due to the chirality of the localized states on triangles.