Condensation of magnons and spinons in a frustrated ladder

Details Condensation of magnons and spinons in a frustrated ladder Condensation of magnons and spinons in a frustrated ladder

2006-03-23

arxiv.org/abs/cond-mat/0603609v2

Phys. Rev. B 73, 214405 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

15 pages, 15 figures. minor changes in text

Scientific paper

10.1103/PhysRevB.73.214405

Motivated by the ever-increasing experimental effort devoted to the properties of frustrated quantum magnets in a magnetic field, we present a careful and detailed theoretical analysis of a one-dimensional version of this problem, a frustrated ladder with a magnetization plateau at m=1/2. We show that even for purely isotropic Heisenberg interactions, the magnetization curve exhibits a rather complex behavior that can be fully accounted for in terms of simple elementary excitations. The introduction of anisotropic interactions (e.g., Dzyaloshinskii-Moriya interactions) modifies significantly the picture and reveals an essential difference between integer and fractional plateaux. In particular, anisotropic interactions generically open a gap in the region between the plateaux, but we show that this gap closes upon entering fractional plateaux. All of these conclusions, based on analytical arguments, are supported by extensive Density Matrix Renormalization Group calculations.

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