The intrinsic features of the specific heat at half-filled Landau levels of two-dimensional electron systems

Details The intrinsic features of the specific heat at half-filled Landau levels of two-dimensional electron systems The intrinsic features of the specific heat at half-filled Landau levels of two-dimensional electron systems

2010-07-22

arxiv.org/abs/1007.3802v2

J Low Temp Phys 163 (2011) 43-52

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages, 1 figure, to appear in J Low Temp Phys (2010)

Scientific paper

10.1007/s10909-010-0259-3

The specific heat capacity of a two-dimensional electron gas is derived for two types of the density of states, namely, the Dirac delta function spectrum and that based on a Gaussian function. For the first time, a closed form expression of the specific heat for each case is obtained at half-filling. When the chemical potential is temperature-independent, the temperature is calculated at which the specific heat is a maximum. Here the effects of the broadening of the Landau levels are distinguished from those of the different filling factors. In general, the results derived herein hold for any thermodynamic system having similar resonant states.

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