Abstract
In his book "Quantum Theory of Solids" (1) Peierls shows that a one-dimensional metal is inherently unstable and will undergo a phase transition into a semiconducting state. Almost simultaneously and independently the theory of this phase transition was worked out by Fröhlich (2). Fröhlich showed that the phase transition may result in a low temperature state which is not semiconducting but superconducting with transition temperatures not restricted to the cryogenic range. Recently experimental systems have been studied which undergo a Peierls transition and which are potential candidates for the Fröhlich mechanism of superconductivity. In particular the transition was shown to occur in K2 [Pt(CN)4] Br0.30·3(H20) (KCP) and related salts (3). There is evidence that a Peierls transition also takes place in TTF TCNQ (4). In the following we will restrict the discussion to the best understood system, i.e., K2 [Pt(CN)4] Br0.30·3(H20). For a general introduction the
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