Symmetry Studies of Antiferromagnetic Heisenberg Model

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概要

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• A general treatment of the symmetry for quantum spin systems is presented withthe use of permutational operators. Symmetry operations which are commutable witha Hamiltonian form the symmetry group. Complete sets of spin functions which arespecified by the total spin (S...) are projected onto the irreducible representations ofthe symmetry group, using the character table. We show from symmetry consideration that a minimum dimension exists for the ground state of the Heisenberg Hamilto-nian with finite N spins. The diagonalization of the Hamiltonian with the use of symmetry consideration can be effectively performed for the complete sets of 'tot=' bythe method proposed in this paper. Numerical results of the ground state and all theexcited states of .5...=0 are presented for spin systems up to N=20.[group theory, symmetric group, Heisenberg model, antiferromagnetism, two- ll dimensional, square lattice, irreducible representationl

• 社団法人日本物理学会の論文
• 1990-11-15

著者

• Saito Riichiro

  Department Of Electronic Engineering University Of Electro-communications

• Kamimura Hiroshi

  Department Of Electronic Engineering Gunma University

• Ishino Takashi

  Advanced Research Laboratory Toshiba Research And Development Center

• Ishino Takashi

  Department Of Otolaryngology Head And Neck Surgery Division Of Clinical Medical Science Programs For

• Saito Riichiro

  Department Of Physics University Of Tokyo

• Kamimura Hiroshi

  Department Of Applied Physics . Faculty Of Science Tokyo University Of Science

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