Spin Chains from Super-Models.
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- Deguchi Tetsuo
- Department of Physics, Ochanomizu University, 2-1-1 Ohtsuka, Bunkyo-ku, Tokyo 112-8610
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- Ghosh Pijush K.
- Department of Physics, Ochanomizu University, 2-1-1 Ohtsuka, Bunkyo-ku, Tokyo 112-8610
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Abstract
We construct and study a class of N particle supersymmetric Hamiltonians with nearest and next-nearest neighbor inverse-square interaction in one dimension. We show that inhomogeneous XY models in an external non-uniform magnetic field can be obtained from these super-Hamiltonians in a particular limit decoupling the fermionic degrees of freedom from the kinematic ones. We further consider a suitable deformation of these super-models such that inhomogeneous XXZ Hamiltonians in an external non-uniform magnetic field are obtained in the same limit. We show that this deformed Hamiltonian with rational potential is, (i) mapped to a set of free super-oscillators through a similarity transformation and (ii) supersymmetric in terms of a new, non-standard realization of the supercharge. We construct many exact eigenstates of this Hamiltonian and discuss about the applicability of this technique to other models.
Journal
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- Journal of the Physical Society of Japan
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Journal of the Physical Society of Japan 70 (11), 3225-3237, 2001
THE PHYSICAL SOCIETY OF JAPAN
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Details 詳細情報について
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- CRID
- 1390001204184918784
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- NII Article ID
- 210000103402
- 10009123066
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- NII Book ID
- AA00704814
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- BIBCODE
- 2001JPSJ...70.3225D
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- ISSN
- 13474073
- 00319015
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- MRID
- 1873255
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- NDL BIB ID
- 5979720
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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