2D multipartite valence bond states in quantum anti-ferromagnets

Enrique Rico; Hans-Jürgen Briegel

doi:10.1016/j.aop.2008.03.006

2D multipartite valence bond states in quantum anti-ferromagnets

Enrique Rico (Corresponding author), Hans-Jürgen Briegel

Quantum Optics, Quantum Nanophysics and Quantum Information

Publications: Contribution to journal › Article › Peer Reviewed

Abstract

A quantum anti-ferromagnetic spin-1 model is characterised on a 2D lattice with the following requirements: (i) The Hamiltonian is made out of nearest neighbour interactions. (ii) It is homogeneous, translational and rotational invariant. (iii) The ground state is a real singlet state of SU(2) (non-chiral). (iv) It has a local spin-1 representation. Along the way to characterise the system, connections with classical statistical mechanics and integrable models are explored. Finally, the relevance of the model in the physics of low dimensional anti-ferromagnetic Mott–Hubbard insulators is discussed.

Original language	English
Pages (from-to)	2115-2131
Number of pages	17
Journal	Annals of Physics
Volume	323
Issue number	9
DOIs	https://doi.org/10.1016/j.aop.2008.03.006
Publication status	Published - 2008

Austrian Fields of Science 2012

103026 Quantum optics

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10.1016/j.aop.2008.03.006

http://arxiv.org/abs/0710.2349

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title = "2D multipartite valence bond states in quantum anti-ferromagnets",

abstract = "A quantum anti-ferromagnetic spin-1 model is characterised on a 2D lattice with the following requirements: (i) The Hamiltonian is made out of nearest neighbour interactions. (ii) It is homogeneous, translational and rotational invariant. (iii) The ground state is a real singlet state of SU(2) (non-chiral). (iv) It has a local spin-1 representation. Along the way to characterise the system, connections with classical statistical mechanics and integrable models are explored. Finally, the relevance of the model in the physics of low dimensional anti-ferromagnetic Mott–Hubbard insulators is discussed.",

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N2 - A quantum anti-ferromagnetic spin-1 model is characterised on a 2D lattice with the following requirements: (i) The Hamiltonian is made out of nearest neighbour interactions. (ii) It is homogeneous, translational and rotational invariant. (iii) The ground state is a real singlet state of SU(2) (non-chiral). (iv) It has a local spin-1 representation. Along the way to characterise the system, connections with classical statistical mechanics and integrable models are explored. Finally, the relevance of the model in the physics of low dimensional anti-ferromagnetic Mott–Hubbard insulators is discussed.

AB - A quantum anti-ferromagnetic spin-1 model is characterised on a 2D lattice with the following requirements: (i) The Hamiltonian is made out of nearest neighbour interactions. (ii) It is homogeneous, translational and rotational invariant. (iii) The ground state is a real singlet state of SU(2) (non-chiral). (iv) It has a local spin-1 representation. Along the way to characterise the system, connections with classical statistical mechanics and integrable models are explored. Finally, the relevance of the model in the physics of low dimensional anti-ferromagnetic Mott–Hubbard insulators is discussed.

U2 - 10.1016/j.aop.2008.03.006

DO - 10.1016/j.aop.2008.03.006

M3 - Article

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EP - 2131

JO - Annals of Physics

JF - Annals of Physics

IS - 9

ER -

2D multipartite valence bond states in quantum anti-ferromagnets

Abstract

Austrian Fields of Science 2012

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