A Mechanism for Ferrimagnetism and Incommensurability in One-Dimensional Systems

Abstract

A mechanism for ferrimagnetism in (1+1)-dimensions is discussed. The ferrimagnetism is cased by interactions described by operators with non-zero conformal spin. Such interactions appear in such problems as the problem of tunneling between Luttinger liquids and the problem of frustrated spin ladder. I present exact solutions for a representative class of models containing such interactions together with a simple mean field analysis. It is shown that the interactions (i) dynamically generate static oscillations with a wave vector dependent on the coupling constant, (ii) give rise to a finite magnetic moment at $T=0$ accompanied by the soft mode with a non-relativistic ({\it ferromagnetic}) dispersion $E\sim k^2$, (iii) generate massive (roton) modes.

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References in corpus (1)

• Commensurate-Incommensurate Phase Transitions for Multichain Quantum Spin Models: Exact Results

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• Multipoint Green's functions in 1+1 dimensional integrable quantum field theories