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

Abstract

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.

arXiv comment11 pages, 1 figure, to appear in J Low Temp Phys (2010)

References in corpus (4)

• Beyond the Fermi Liquid Paradigm: Hidden Fermi Liquids
• Magnetization in two-dimensional electron gas in a perpendicular magnetic field: the roles of edge states and spin-orbit coupling
• The Interplay of Landau Level Broadening and Temperature on Two-Dimensional Electron Systems
• Specific Heat of a Fractional Quantum Hall System

Cited by in corpus (1)

• Persistent spin splitting of a two-dimensional electron gas in tilted magnetic fields