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20 April 2024
 
  » arxiv » 1612.3159

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Spin-charge separation in an Aharonov-Bohm interferometer
A. P. Dmitriev ; I. V. Gornyi ; V. Yu. Kachorovskii ; D. G. Polyakov ;
Date 9 Dec 2016
AbstractWe study manifestations of spin-charge separation (SCS) in transport through a tunnel-coupled interacting single-channel quantum ring. We focus on the high-temperature case (temperature $T$ larger than the level spacing $Delta$) and discuss both the classical (flux-independent) and interference contributions to the tunneling conductance of the ring in the presence of magnetic flux. We demonstrate that the SCS effects, which arise solely due to the electron-electron interaction, lead to the appearance of a fine structure of the electron spectrum in the ring, namely each level splits into $T/Delta$ sublevels. The tunneling width of the sublevels is suppressed by a factor $Delta/T$ because of SCS. However, the classical transmission through the ring remains unchanged compared to the noninteracting case, because this suppression is compensated by the increase of the number of tunneling channels (number of sublevels). The interference contribution essentially depends on the dephasing rate which is known to increase in infinite systems as a result of SCS. We demonstrate that SCS indeed enhances dephasing at strong tunneling, but, remarkably, does not affect dephasing in an almost closed ring. In such rings, the dephasing rate does not depend on the interaction strength and is determined by the tunneling coupling. Similar to the spinless case, the high-temperature conductance shows as a function of magnetic flux a series of interaction-induced sharp negative peaks on top of the classical contribution.
Source arXiv, 1612.3159
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