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Specific heat anomalies of non-interacting fermions with multifractal energy spectra

Author

Listed:
  • de Oliveira, I.N.
  • Lyra, M.L.
  • Albuquerque, E.L.

Abstract

In this work, we compute the specific heat of a system of non-interacting fermions whose energy spectrum presents a self-similar character. The critical attractor of the logistic map is used to generate a multifractal energy spectrum. We study the temperature dependence of the specific heat for distinct band fillings. At low temperatures the specific heat presents anomalies which evolve from log-periodic oscillations at low band fillings to more complex patterns which strongly depends on the actual position of the Fermi energy. We relate the character of these anomalies with some scaling exponents which characterize the discrete scale invariance of the energy spectrum.

Suggested Citation

  • de Oliveira, I.N. & Lyra, M.L. & Albuquerque, E.L., 2004. "Specific heat anomalies of non-interacting fermions with multifractal energy spectra," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 424-432.
    • Handle: RePEc:eee:phsmap:v:343:y:2004:i:c:p:424-432
    DOI: 10.1016/j.physa.2004.05.059
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    Cited by:

    1. Silva, L.B.M. & Vermelho, M.V.D. & Lyra, M.L. & Viswanathan, G.M., 2009. "Multifractal detrended fluctuation analysis of analog random multiplicative processes," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2806-2811.
    2. Xie, Pinchen & Yang, Bingjia & Zhang, Zhongzhi & Andrade, Roberto F.S., 2018. "Exact evaluation of the causal spectrum and localization properties of electronic states on a scale-free network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 40-48.

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