Chin. Phys. Lett.  2007, Vol. 24 Issue (4): 1035-1038    DOI:
Original Articles |
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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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.
Keywords: 71.30.+h      71.23.Ft      71.38.-k     
Received: 06 September 2006      Published: 26 March 2007
PACS:  71.30.+h (Metal-insulator transitions and other electronic transitions)  
  71.23.Ft (Quasicrystals)  
  71.38.-k (Polarons and electron-phonon interactions)  
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LI Peng-Fei
CHEN Yu-Guang
CHEN Hong
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