Abstract
An effective field-theory for holes moving in a slowly varying antiferromagnetic spin-background is constructed, where the spin degrees of freedom are integrated out within an expansion in generalized Berry-phases. By choosing a spin-quantization axis for the fermions that rotates with the antiferromagnetic order-parameter, a gauge-theory is obtained where the fermions are coupled to a vector gauge-field, whose fluctuations are controlled by the CP 1 model and fermionic contributions. As a consequence of the confining potential produced by the U(1) gauge-fields in (2+1) dimensions, bound states result corresponding to charge-spin separation and pairing. An alternative representation in the laboratory reference frame gives a coupling of spin- and fermionic currents that was first obtained by Shraiman and Siggia for the t-J model. It is also seen in this reference frame that the gauge-fields correspond to chiral fluctuations of the staggered magnetic order-parameter.
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Kübert, C., Muramatsu, A. (1994). Charge-Spin Separation and Pairing by Chiral Spin Fluctuations. In: Okiji, A., Kawakami, N. (eds) Correlation Effects in Low-Dimensional Electron Systems. Springer Series in Solid-State Sciences, vol 118. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85129-2_21
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DOI: https://doi.org/10.1007/978-3-642-85129-2_21
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