Low temperature resonances in the electron heat capacity and its spectral distribution in finite systems

Details Low temperature resonances in the electron heat capacity and its spectral distribution in finite systems Low temperature resonances in the electron heat capacity and its spectral distribution in finite systems

2008-11-28

arxiv.org/abs/0811.4771v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

45 pages, 18 figures

Scientific paper

Temperature variations of the heat capacity (C) are studied in a low temperature regime for 2D-, and 3D-systems with N~100-10000 treated as a canonical ensemble of N-noninteracting fermions. The analysis of C is performed by introducing function q, the spectral distribution of C, that gives the contribution of each single-particle state to C. This function has two peaks divided by the energy interval ~(2-5)T. If at some temperature Tres there takes place a resonance i.e. the positions of these peaks coincide with energies of two levels nearest to Fermi enrgy then C vs T can show a local maximum at Tres. This gives possibility to assess the single-particle level spacings near the Fermi level.

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