Dimensional reduction of U(1)\times SU(2) Chern-Simons bosonization: application to the t-J model

Abstract

We perform a dimensional reduction of the $U(1)\times SU(2)$ Chern--Simons bosonization and apply it to the $t-J$ model, relevant for high $T_c$ superconductors. This procedure yields a decomposition of the electron field into a product of two ``semionic" fields, i.e. fields obeying abelian braid statistics with statistics parameter $\theta =\frac{1}{4}$, one carrying the charge and the other the spin degrees of freedom. A mean field theory is then shown to reproduce correctly the large distance behaviour of the correlation functions of the 1D $t-J$ model at $t>>J$. This result shows that to capture the essential physical properties of the model one needs a specific ``semionic" form of spin--charge separation.

31 pages, Plain TeX, no figures

References in corpus (4)

• Bosonization as Duality
• Bosonization of Fermi Systems in Arbitrary Dimension in Terms of Gauge Forms
• Slave Anyons in the $t$-$J$ Model at the Supersymmetric Point
• Bosonization and Duality in Condensed Matter Systems

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