Abstract
The effect of low temperature on the many-body properties of an n-type GaAs-based quasi one-dimensional electron gas (quantum wire) has been investigated in the RPA, Hubbard and STLS approximations. Numerical results for the finite-temperature static structure factors, local field corrections, pair correlation functions, plasmon dispersion relations and inverse static dielectric functions of the system have been obtained and compared with the zero-temperature values. As a general result, the behavior of the system at finite-temperature does not change significantly at small values of wave vectors. Also, it has been found out that while applying the temperature dependent Hubbard and STLS to the quantum wire yields different results for local field corrections and pair correlation functions, the increase in temperature within all approximations causes the plasmon modes to shift upward in energy and the sharp peaks in the inverse static dielectric curve to become less pronounced.
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