We analyze the t-J model using the CP1 representation for the slave operators (holons and spinons) which is particularly suited to study the phenomenon of the spin-charge separation in strongly correlated electron systems. In particular, we show that for the one-dimensional t-J model below half-filling the low energy effective dynamics of the spin and charge degrees of freedom is represented in the continuum limit by a CP1 model with a topological term, minimally coupled to a massless Dirac field with a four-fermion interaction. The bosonic term of this action describes the spin waves produced by the spinons, while the fermionic term represents the low energy charge excitations. This theory exhibits explicitly a local abelian gauge invariance.
A Field theory approach to the t-J model and the spin charge separation
LERDA, Alberto
1994-01-01
Abstract
We analyze the t-J model using the CP1 representation for the slave operators (holons and spinons) which is particularly suited to study the phenomenon of the spin-charge separation in strongly correlated electron systems. In particular, we show that for the one-dimensional t-J model below half-filling the low energy effective dynamics of the spin and charge degrees of freedom is represented in the continuum limit by a CP1 model with a topological term, minimally coupled to a massless Dirac field with a four-fermion interaction. The bosonic term of this action describes the spin waves produced by the spinons, while the fermionic term represents the low energy charge excitations. This theory exhibits explicitly a local abelian gauge invariance.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
