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

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

2004-02-27

arxiv.org/abs/cond-mat/0402663v2

Phys. Rev. B 71, 045113 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

10.1103/PhysRevB.71.045113

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.

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