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

Ivanov N, Ummethum J, Schnack J (2014)
The European Physical Journal B 87(10).

Journal Article | Published | English

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Abstract
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 sigma = 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.
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Ivanov N, Ummethum J, Schnack J. Phase diagram of the alternating-spin Heisenberg chain with extra isotropic three-body exchange interactions. The European Physical Journal B. 2014;87(10).
Ivanov, N., Ummethum, J., & Schnack, J. (2014). Phase diagram of the alternating-spin Heisenberg chain with extra isotropic three-body exchange interactions. The European Physical Journal B, 87(10).
Ivanov, N., Ummethum, J., and Schnack, J. (2014). Phase diagram of the alternating-spin Heisenberg chain with extra isotropic three-body exchange interactions. The European Physical Journal B 87.
Ivanov, N., Ummethum, J., & Schnack, J., 2014. Phase diagram of the alternating-spin Heisenberg chain with extra isotropic three-body exchange interactions. The European Physical Journal B, 87(10).
N. Ivanov, J. Ummethum, and J. Schnack, “Phase diagram of the alternating-spin Heisenberg chain with extra isotropic three-body exchange interactions”, The European Physical Journal B, vol. 87, 2014.
Ivanov, N., Ummethum, J., Schnack, J.: Phase diagram of the alternating-spin Heisenberg chain with extra isotropic three-body exchange interactions. The European Physical Journal B. 87, (2014).
Ivanov, Nedko, Ummethum, Jörg, and Schnack, Jürgen. “Phase diagram of the alternating-spin Heisenberg chain with extra isotropic three-body exchange interactions”. The European Physical Journal B 87.10 (2014).
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