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Spin-Charge Separated Luttinger Liquid in Arbitrary Spatial Dimensions

Krzysztof Byczuk·Jozef Spalek
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Abstract

A model with a singular forward scattering amplitude for particles with opposite spins in d spatial dimensions is proposed and solved by using the bosonization transformation. This interacting potential leads to the spin-charge separation. Thermal properties at low temperature for this Luttinger liquid are discussed. Also, the explicit form of the single-electron Green function is found; it has square-root branch cut. New fermion field operators are defined; they describe holons and spinons as the elementary excitations. Their single particle Green functions possess pseudoparticle properties. Using these operators the spin-charge separated Hamiltonian for an ideal gases of holons and spinons is derived and reflects an inverse (fermionization) transformation.

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Krzysztof Byczuk, Jozef Spalek. 1995-06-21. Spin-Charge Separated Luttinger Liquid in Arbitrary Spatial Dimensions. https://doi.org/10.1016/s0038-1098(96)80057-3

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