Berry-phase-induced dimerization in one-dimensional quadrupolar systems

Shijie Hu, Ari M. Turner, Karlo Penc, Frank Pollmann

Research output: Contribution to journalArticle

15 Citations (Scopus)


We investigate the effect of the Berry phase on quadrupoles that occur, for example, in the low-energy description of spin models. Specifically, we study here the one-dimensional bilinear-biquadratic spin-one model. An open question for many years about this model is whether it has a nondimerized fluctuating nematic phase. The dimerization has recently been proposed to be related to Berry phases of the quantum fluctuations. We use an effective low-energy description to calculate the scaling of the dimerization according to this theory and then verify the predictions using large scale density-matrix renormalization group simulations, giving good evidence that the state is dimerized all the way up to its transition into the ferromagnetic phase. We furthermore discuss the multiplet structure found in the entanglement spectrum of the ground state wave functions.

Original languageEnglish
Article number027202
JournalPhysical review letters
Issue number2
Publication statusPublished - Jul 9 2014

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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