Scaling Relation for Excitation Energy under Hyperbolic Deformation(General and Mathematical Physics)
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概要
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We introduce a one-parameter deformation for one-dimensional quantum lattice models, the hyperbolic deformation, where the scale of the local energy is proportional to cosh λj at the jth site. From the quantum-classical correspondence with a two-dimensional classical system, it is expected that the deformation does not modify the ground state conspicuously, if there is a finite excitation gap. Under this situation, the excited quasi particle is weakly confined around the center of the system. We derive scaling relations among the mean-square width <w^2> of confinement, energy correction to the excitation gap Δ, and deformation parameter λ. This scaling is useful for the extraction of the bulk excitation gap in the limit λ=0.
- 2010-09-25
著者
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UEDA Hiroshi
Department of Pathology, School of Medicine Gifu University
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NAKANO Hiroki
Graduate School of Material Science, University of Hyogo
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KUSAKABE Koichi
Department of Material Engineering Science, Graduate School of Engineering Science, Osaka University
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NISHINO Tomotoshi
Department of Physics, Graduate School of Science, Kobe University
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Nakano Hiroki
Graduate School Of Material Science University Of Hyogo
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Ueda Hiroshi
Department Of Dermatology Fujita Health University School Of Medicine
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Kusakabe Koichi
Department Of Material Engineering Science Graduate School Of Engineering Science Osaka University
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Nishino Tomotoshi
Department Of Physics Faculty Of Science Kobe University
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Nakano Hiroki
Graduate School And Faculty Of Science Himeji Institute Of Technology
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Ueda Hiroshi
Department Of Anatomy University Of Occupational And Environmental Health School Of Medicine
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Ueda Hiroshi
Department Of Anatomy School Of Medicine University Of Occupational And Environmental Health
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Kusakabe Koichi
Department of Applied Physics and Chemistry, The University of Electro-Communications
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