Dresden 2014 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 4: Low-Dimensional Systems: 1D - Theory
TT 4.5: Talk
Monday, March 31, 2014, 10:30–10:45, HSZ 201
Effective gauge field description for the bilinear-biquadratic spin-one chain — •Shijie Hu1, Ari M. Turner2, Karlo Penc3,4, and Frank Pollmann1 — 1Max-Planck-Institut fuer Physik komplexer Systeme, 01187 Dresden, Germany — 2University of Amsterdam, 1090 GL Amsterdam, The Netherlands — 3Institute for Solid State Physics and Optics, Wigner Research Centre for Physics, Hungarian Academy of Sciences, H-1525 Budapest, P.O.B. 49, Hungary — 4Department of Physics, Budapest University of Technology and Economics, 1111 Budapest, Hungary
We study the one-dimensional bilinear-biquadratic spin-one model. For this model, the possible existence of a nematic phase between a dimerized and a ferromagnetic phase has been debated. We present strong evidence for the absence of such an intermediate phase by comparing prediction of an effective gauge theory with the results of large scale density-matrix renormalization group (DMRG) simulations. In particular we compare the scaling of the correlations length and the dimerization strength obtained from the gauge theory with the DMRG results. It is found that quantum fluctuations melt the nematic order and stabilize a gapped, dimerized phase which persists all the way to the edge of the ferromagnetic phase. We furthermore discuss the multiplet structure found in the entanglement spectrum of the ground state wave functions.