Spinons in more than one dimension: Resonance Valence Bond state stabilized by frustration

Details Spinons in more than one dimension: Resonance Valence Bond state stabilized by frustration Spinons in more than one dimension: Resonance Valence Bond state stabilized by frustration

2002-06-25

arxiv.org/abs/cond-mat/0206483v3

Physics

Condensed Matter

Strongly Correlated Electrons

42 pages, 7 figures, replaced with revised version

Scientific paper

10.1103/PhysRevB.67.024422

For two spatially anisotropic, SU(2)-invariant models of frustrated magnets in arbitrary space dimension we present a non-perturbative proof of the existence of neutral spin-1/2 excitations (spinons). In one model the frustration is static and based on fine tuning of the coupling constants, whereas in the other it is dynamic and does not require adjusting of the model parameters. For both models we derive a low-energy effective action which does not contain any constraints. Though our models admit the standard gauge theory treatment, we follow an alternative approach based on Abelian and non-Abelian bosonization. We prove the existence of propagating spin-1/2 excitations (spinons) and consider in detail certain exactly solvable limits. A qualitative discussion of the most general case is also presented.

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