The Luther-Emery liquid: Spin gap and anomalous flux period

Abstract

We study the dependence of the ground state energy on an applied Aharonov-Bohm flux $\Phi$ for the Luttinger model with large momentum scattering. Employing the method of finite size bosonization, we show that for systems with a spin gap but with gapless charge degrees of freedom, the ground state energy has an exact period of $hc/2e$, i. e. {\em half} a flux quantum, in the limit of large system size $L$. Finite size corrections are found to vanish exponentially in $L$. This behavior is contrasted to that of the spin gapless case, for both even and odd particle number. Generalizations to finite temperature are also discussed.

13 pages, 3 figures, RevTex4, published version, new Appendix on proper use of canonical number-phase commutation relations in Klein factors added

References in corpus (3)

• Flux period, spin gap, and pairing in the one-dimensional t-J-J'-model
• Newton's law for Bloch electrons, Klein factors and deviations from canonical commutation relations
• Canonically conjugate pairs and phase operators

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