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Advanced Solid State Physics, Second Edition by Philip Phillips

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2  Non-interacting electron gas

At the close of the previous chapter, we noted that one can understand the elementary properties of metals in terms of non-interacting electrons and phonons. For example, the low-temperature specific heat of a metal is the sum of a term linear in the temperature, T, from the electrons and a term proportional to T3 from the phonons. This result follows from a non-interacting particle picture. The electrical conductivity limited by non-magnetic impurity scattering is also well described by a non-interacting electron gas. In addition, from a knowledge of single-electron band theory, one can discern qualitatively the differences between metals, insulators, and semiconductors. The remarkable success of the non-interacting ...

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