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Scaling Properties of Energy Gap in Dimerized Spinless Fermion Chains with Quasiperiodic Modulation |
LI Peng-Fei;CHEN Yu-Guang;CHEN Hong |
Pohl Institute of Solid State Physics, Tongji University, Shanghai 200092 |
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Cite this article: |
LI Peng-Fei, CHEN Yu-Guang, CHEN Hong 2007 Chin. Phys. Lett. 24 1035-1038 |
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Abstract By employing the exact diagonalization method, we investigate the low-energy behaviour of the dimerized spinless fermion chains with quasiperiodic modulation. It is found that for off-diagonal modulation, the energy gap with length N scales as exp(-cNω) with nonuniversal exponent ω if the dimerization is nonzero. However, for diagonal modulation, there may exist a critical dimerization δc beyond which the system exhibits a metal--insulator transition.
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Keywords:
71.30.+h
71.23.Ft
71.38.-k
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Received: 06 September 2006
Published: 26 March 2007
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PACS: |
71.30.+h
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(Metal-insulator transitions and other electronic transitions)
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71.23.Ft
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(Quasicrystals)
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71.38.-k
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(Polarons and electron-phonon interactions)
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