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

Alexander Seidel·Dung-Hai Lee
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Abstract

We study the dependence of the ground state energy on an applied Aharonov-Bohm flux $Φ$ 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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Alexander Seidel, Dung-Hai Lee. 2005-03-15. The Luther-Emery liquid: Spin gap and anomalous flux period. https://doi.org/10.1103/physrevb.71.045113

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