A Non-Hermitian Critical Point and the Correlation Length of Strongly Correlated Quantum Systems(General)
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概要
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We study a non-Hermitian generalization of quantum systems in which an imaginary vector potential is added to the momentum operator. In the tight-binding approximation, we make the hopping energy asymmetric in the Hermitian Hamiltonian. In a previous article, we conjectured that the non-Hermitian critical point where the energy gap vanishes is equal to the inverse correlation length of the Hermitian system and we confirmed the conjecture for two exactly solvable systems. In this article, we present more evidence for the conjecture. We also argue the basis of our conjecture by noting the dispersion relation of the elementary excitation.
- 社団法人日本物理学会の論文
- 2006-10-15
著者
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Hatano Naomichi
Institute Of Industrial Science The University Of Tokyo
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Nakamura Yuichi
Department of Cardiology, Shin-Nittetsu Muroran General Hospital
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Hatano Naomichi
Institute Of Industrial Science University Of Tokyo
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Nakamura Yuichi
Department Of Cardiology Shin-nittetsu Muroran General Hospital
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Nakamura Yuichi
Department Of Physics University Of Tokyo
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