Phase diagram of the alternating-spin Heisenberg chain with extra isotropic three-body exchange interactions

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• 作者：Nedko B. Ivanov ; J?rg Ummethum ; Jürgen Schnack
• 关键词：Solid State and Materials
• 刊名：The European Physical Journal B - Condensed Matter
• 出版年：2014
• 出版时间：October 2014
• 年：2014
• 卷：87
• 期：10
• 全文大小：650 KB
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• 作者单位：Nedko B. Ivanov (1) (2)
  J?rg Ummethum (1)
  Jürgen Schnack (1)
  
  1. Department of Physics, Bielefeld University, P.O. Box 100131, 33501, Bielefeld, Germany
  2. Institute of Solid State Physics, Bulgarian Academy of Sciences, Tzarigradsko chaussee 72, 1784, Sofia, Bulgaria
  
• ISSN：1434-6036

文摘

For the time being isotropic three-body exchange interactions are scarcely explored and mostly used as a tool for constructing various exactly solvable one-dimensional models, although, generally speaking, such competing terms in generic Heisenberg spin systems can be expected to support specific quantum effects and phases. The Heisenberg chain constructed from alternating S = 1 and σ = 1/2 site spins defines a realistic prototype model admitting extra three-body exchange terms. Based on numerical density-matrix renormalization group (DMRG) and exact diagonalization (ED) calculations, we demonstrate that the additional isotropic three-body terms stabilize a variety of partially-polarized states as well as two specific non-magnetic states including a critical spin-liquid phase controlled by two Gaussinal conformal theories as well as a critical nematic-like phase characterized by dominant quadrupolar S-spin fluctuations. Most of the established effects are related to some specific features of the three-body interaction such as the promotion of local collinear spin configurations and the enhanced tendency towards nearest-neighbor clustering of the spins. It may be expected that most of the predicted effects of the isotropic three-body interaction persist in higher space dimensions.