Yangian symmetry in molecule {V6} and four-spin Heisenberg model

Xu Biao Peng; Cheng Ming Bai; Mo Lin Ge

doi:10.1016/j.aop.2010.10.005

Yangian symmetry in molecule {V6} and four-spin Heisenberg model

Xu Biao Peng^*, Cheng Ming Bai, Mo Lin Ge

^*Corresponding author for this work

Nankai University

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

The symmetry operator Q=Y² is introduced to re-describe the Heisenberg spin triangles in the {V6} molecule, where Y stands for the Yangian operator which can be viewed as special form of Dzyaloshinsky-Moriya (DM) interaction for spin 1/2 systems. Suppose a parallelogram Heisenberg model that is comprised of four 12-spins commutes with Q, which mean that it possesses Yangian symmetry, we show that the ground state of the Hamiltonian H₄ for the model allows to take the total spin S=1 by choosing some suitable exchange constants in H₄. In analogy to the molecule {V6} where the two triangles interact through Yangian operator we then give the magnetization for the theoretical molecule "{V8}" model which is comprised of two parallelograms. Following the example of molecule {V15}, we give another theoretical molecule model regarding the four 12-spins system with total spin S=1 and predict the local moments to be 910μB,110μB,110μB,910μB, respectively.

Original language	English
Pages (from-to)	216-231
Number of pages	16
Journal	Annals of Physics
Volume	326
Issue number	2
DOIs	https://doi.org/10.1016/j.aop.2010.10.005
Publication status	Published - Feb 2011
Externally published	Yes

Keywords

Hysteresis
Local spin moment
Yangian
{V6} molecule

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Peng, X. B., Bai, C. M., & Ge, M. L. (2011). Yangian symmetry in molecule {V6} and four-spin Heisenberg model. Annals of Physics, 326(2), 216-231. https://doi.org/10.1016/j.aop.2010.10.005

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title = "Yangian symmetry in molecule {V6} and four-spin Heisenberg model",

abstract = "The symmetry operator Q=Y2 is introduced to re-describe the Heisenberg spin triangles in the {V6} molecule, where Y stands for the Yangian operator which can be viewed as special form of Dzyaloshinsky-Moriya (DM) interaction for spin 1/2 systems. Suppose a parallelogram Heisenberg model that is comprised of four 12-spins commutes with Q, which mean that it possesses Yangian symmetry, we show that the ground state of the Hamiltonian H4 for the model allows to take the total spin S=1 by choosing some suitable exchange constants in H4. In analogy to the molecule {V6} where the two triangles interact through Yangian operator we then give the magnetization for the theoretical molecule {"}{V8}{"} model which is comprised of two parallelograms. Following the example of molecule {V15}, we give another theoretical molecule model regarding the four 12-spins system with total spin S=1 and predict the local moments to be 910μB,110μB,110μB,910μB, respectively.",

keywords = "Hysteresis, Local spin moment, Yangian, {V6} molecule",

author = "Peng, {Xu Biao} and Bai, {Cheng Ming} and Ge, {Mo Lin}",

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doi = "10.1016/j.aop.2010.10.005",

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T1 - Yangian symmetry in molecule {V6} and four-spin Heisenberg model

AU - Peng, Xu Biao

AU - Bai, Cheng Ming

AU - Ge, Mo Lin

PY - 2011/2

Y1 - 2011/2

N2 - The symmetry operator Q=Y2 is introduced to re-describe the Heisenberg spin triangles in the {V6} molecule, where Y stands for the Yangian operator which can be viewed as special form of Dzyaloshinsky-Moriya (DM) interaction for spin 1/2 systems. Suppose a parallelogram Heisenberg model that is comprised of four 12-spins commutes with Q, which mean that it possesses Yangian symmetry, we show that the ground state of the Hamiltonian H4 for the model allows to take the total spin S=1 by choosing some suitable exchange constants in H4. In analogy to the molecule {V6} where the two triangles interact through Yangian operator we then give the magnetization for the theoretical molecule "{V8}" model which is comprised of two parallelograms. Following the example of molecule {V15}, we give another theoretical molecule model regarding the four 12-spins system with total spin S=1 and predict the local moments to be 910μB,110μB,110μB,910μB, respectively.

AB - The symmetry operator Q=Y2 is introduced to re-describe the Heisenberg spin triangles in the {V6} molecule, where Y stands for the Yangian operator which can be viewed as special form of Dzyaloshinsky-Moriya (DM) interaction for spin 1/2 systems. Suppose a parallelogram Heisenberg model that is comprised of four 12-spins commutes with Q, which mean that it possesses Yangian symmetry, we show that the ground state of the Hamiltonian H4 for the model allows to take the total spin S=1 by choosing some suitable exchange constants in H4. In analogy to the molecule {V6} where the two triangles interact through Yangian operator we then give the magnetization for the theoretical molecule "{V8}" model which is comprised of two parallelograms. Following the example of molecule {V15}, we give another theoretical molecule model regarding the four 12-spins system with total spin S=1 and predict the local moments to be 910μB,110μB,110μB,910μB, respectively.

KW - Hysteresis

KW - Local spin moment

KW - Yangian

KW - {V6} molecule

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DO - 10.1016/j.aop.2010.10.005

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SN - 0003-4916

VL - 326

SP - 216

EP - 231

JO - Annals of Physics

JF - Annals of Physics

IS - 2

ER -

Yangian symmetry in molecule {V6} and four-spin Heisenberg model

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Keywords

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