Role of Repulsive Interactions for the Spin-Peierls Transition Temperature in One-Dimensional Half-Filled Electron Systems

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The transition temperature, Tc, of the spin–Peierls state has been examined for one-dimensional half-filled electron systems with the repulsive interactions of the on site (U) and nearest-neighbor site (V). We calculate Tc on the plane of U and V by considering two kinds of states, namely, bond alternation and site alternation, of the charge density wave. Based on the bosonization and the renormalization group method, it is found that Tc of the bond alternation is dominant for U\\gtrsim2V and takes a maximum for V\\simeqU⁄2 while Tc of the site alternation is dominant for U\\lesssim2V and increases monotonically with increasing V. The ratio of the charge gap to Tc is large for the former state while it is of the order of unity for the latter state. Based on the results, spin–Peierls states in organic conductors are discussed.

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