Regensburg 2013 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 40: Poster Session Correlated Electrons
TT 40.34: Poster
Wednesday, March 13, 2013, 15:00–19:00, Poster D
Effective gauge field description for the bilinear-biquadratic spin-one chain — •Shijie Hu1, Ari M. Turner2, and Frank Pollmann1 — 1Max-Planck-Institut für Physik komplexer Systeme, 01187 Dresden, Germany — 2University of Amsterdam, 1090 GL Amsterdam, The Netherlands
We study the one-dimensional bilinear-biquadratic spin-one model. For this model, the possible existence of a nematic phase between the dimerized and the ferromagnetic phase has been debated. An alternative prediction is derived by modeling the nematic as a quantum rotor model with a Berry's phase. This theory predicts that the long-range nematic phase does not strictly exist, but that the dimerized phase is a version of it that has been disordered by quantum fluctuations. We present evidence for the latter theory by using it to predict the scaling of the correlation length and the dimerization strength, and then testing these scaling laws with large scale infinite system density-matrix renormalization group calculations, suggesting that the dimerization persists (albeit very weakly) all the way to the edge of the ferromagnetic state.