Branches in the Spectral Flow of the Inhomogeneous Transfer Matrix for the XXZ Spin Chain
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- Kudo Kazue
- Graduate School of Humanities and Sciences, Ochanomizu University
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- Deguchi Tetsuo
- Department of Physics, Ochanomizu University
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Abstract
Branches such as bifurcations or multiple branches are observed in the flow of eigenvalues for the inhomogeneous transfer matrix of the XXZ spin chain. The spectral flow for the XXZ anisotropic parameter Δ is obtained by directly diagonalizing the transfer matrix in the regime: −1≤Δ≤1, where the inhomogeneous transfer matrix is real and symmetric. The branches are considered as novel spectral behaviors, which are not decomposed into simple superpositions of level crossings. We may call them level bifurcations. We also observe that no branches appear in the homogeneous case. The appearance of some of the branches are confirmed through the Bethe ansatz method.
Journal
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- Journal of the Physical Society of Japan
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Journal of the Physical Society of Japan 72 (7), 1599-1602, 2003
THE PHYSICAL SOCIETY OF JAPAN
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Details 詳細情報について
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- CRID
- 1390001204187829376
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- NII Article ID
- 210000104290
- 110001954582
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- NII Book ID
- AA00704814
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- BIBCODE
- 2003JPSJ...72.1599K
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- ISSN
- 13474073
- 00319015
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- MRID
- 1999823
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- NDL BIB ID
- 6606668
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed