Anisotropies of the Hamiltonian and the Wave Function: Inversion Phenomena in Quantum Spin Chains | Zendy

Kiyomi Okamoto | Zendy

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Anisotropies of the Hamiltonian and the Wave Function: Inversion Phenomena in Quantum Spin Chains

Author(s) -

Kiyomi Okamoto

Publication year - 2002

Publication title -

progress of theoretical physics supplement

Language(s) - English

Resource type - Journals

ISSN - 0375-9687

DOI - 10.1143/ptps.145.208

Subject(s) - degenerate energy levels , hamiltonian (control theory) , anisotropy , physics , ising model , wave function , ground state , condensed matter physics , quantum , lanczos resampling , quantum mechanics , phase diagram , eigenvalues and eigenvectors , mathematics , phase (matter) , mathematical optimization

We investigate the inversion phenomenon between the XXZ anisotropies of theHamiltonian and the wave function in quantum spin chains, mainly focusing onthe S=1/2 trimerized XXZ model with the next-nearest-neighbor interactions. Wehave obtained the ground-state phase diagram by use of the degenerateperturbation theory and the level spectroscopy analysis of the numerical datacalculated by the Lanczos method. In some parameter regions, the spin-fluid isrealized for the Ising-like anisotropy, and the Neel state for the XY-likeanisotropy, against the ordinary situation.Comment: 4 pages, 4 figures (embedded): Conference paper: Yukawa-Institute-for-Theoretical-Physics International Workshop "Order, Disorder, and Dynamics in Quantum Spin Systems" (Nov.15-16,2001): will be published as a special issue of Supplement Prog. Theor. Phy

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