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We investigate tunneling through a short interacting wire. We identify twotemperature regimes (a) $T_{Kondo}<T\le T^{wire}=\hbar v_F/k_Bd$ ($d$ is thelength of the short wire) and (b) $T<T_{Kondo}\ll T^{wire}$. In the firstregime the effective (renormalized) electron-electron interaction is smallerthan the tunneling matrix element. This is the situation at finite temperature$T$ where the single particle spectrum of the wire is characterized by amultilevel "quantum dot" system with magnetic quantum number S=0 which ishigher in energy than the SU(2) spin doublet $S=\pm1/2$. Due to the singleparticle energy we find that the tunneling electron into the wire must have anopposite spin to the one in the short wire giving rise to a conductance, $G=G_\uparrow+G_\downarrow$, $e^2/h\le G\ll 2e^2/h$. In the second regime, when $T\to0$ we have a situation that the effective (renormalized) electron-electroninteraction is larger than the tunneling matrix element. This problem isequivalent to a Kondo problem. We find for $T<T_{Kondo}$ that the conductanceis given by $G=2e^2/h$. These results are in agreement with recent experimentswhere for $T_{Kondo}<T<T^{wire}$ the conductance $G$ obeys $e^2/h\le G\ll2e^2/h$, and for $T< T_{Kondo}$, $G=2e^2/h$. In both regimes the current is notpolarized and the SU(2) symmetry is not broken.Comment: 40 pages plus two figures (to appear in Phys. Rev. B

physical review. b, condensed matter and materials physics

Electron transmission through a short interacting wire:<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>0.7</mml:mn></mml:math>conductance anomaly

Electron transmission through a short interacting wire:0.7conductance anomaly