Distribution of Eigenvalues of Non-Hermitian Random XXZ Model
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概要
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To consider interaction effects in a directed random system, we have studied a directed random XXZ model numerically. The exact diagonalizaton method is utilized to obtain distribution of complex eigenvalues. Starting from a strong non-Hermiticity limit with J_z = 0, where the system becomes a non-interacting one-way model, inclusion of antiferromagnetic J_z makes eigenvalues distributed on many concentric circles grouped by the number of neighboring anti-parallel spin configurations in an Ising limit. In this transition, an Ising gap opens as a result of continual recombination of spectral flows into smaller circles in the complex plane.
- 理論物理学刊行会の論文
- 2002-06-28
著者
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Kusakabe Koichi
Graduate School Of Engineering Science Osaka University
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Kusakabe Koichi
Graduate School Of Science And Technology Niigata University
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CHIHARA Keiko
Graduate School of Science and Technology, Niigata University
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Chihara Keiko
Graduate School Of Science And Technology Niigata University
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KUSAKABE Koichi
Graduate School of Science and Technology, Niigata University
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