Interaction-Induced Enhancement and Oscillations of the Persistent Current

@article{Stafford1997InteractionInducedEA,
  title={Interaction-Induced Enhancement and Oscillations of the Persistent Current},
  author={Charles A. Stafford and D. F. Wang},
  journal={Physical Review B},
  year={1997},
  volume={56},
  pages={193-201}
}
The persistent current I in integrable models of multichannel rings with both short- and long-ranged interactions is investigated. I is found to oscillate in sign and increase in magnitude with increasing interaction strength due to interaction- induced correlations in the currents contributed by different channels. For sufficiently strong interactions, the contributions of all channels are found to add constructively, leading to a giant enhancement of I. Numerical results confirm that this… 
1 Citations

Figures from this paper

Persistent Currents in Normal Metal Rings (Yale PhD thesis)
In this work, I present measurements of persistent currents in normal metal rings performed with cantilever torsional magnetometry. With this technique, the typical persistent current (the component

References

SHOWING 1-10 OF 62 REFERENCES
Persistent currents in multichannel interacting systems.
TLDR
The results suggest that the coupling between the chains is essential to understand the large currents observed experimentally, and the validity of the Hartree-Fock approximation is controled by a direct comparison with the exact results on small small clusters.
Significant Interaction-Induced Enhancement of Persistent Currents in 2D Disordered Cylinders
The persistent current of small disordered 2D cylinders is calculated by an exact numerical diagonalization of a tight-binding interacting model Hamiltonian. A significant enhancement in the
Persistent currents in mesoscopic rings and cylinders.
TLDR
The amplitude and temperature sensitivity of the effect are found to be governed by correlations in the energy spectrum of the ring, of range ${E}_{c}$ proportional to the Thouless energy.
Coherence and destruction of coherence in mesoscopic rings
Recent investigations have shown that an important contribution to the magnetic response of an ensemble of mesoscopic normal metal rings at low temperatures is given by the coherent backscattering
Average persistent current in a mesoscopic ring.
TLDR
It is shown that the event Fourier components of the average current dominate and are related to the typical single-level current D ∞ D/0, which can be calculated by a Green's-function-averaging technique.
Dynamic response of isolated Aharonov-Bohm rings coupled to an electromagnetic resonator.
TLDR
This experiment provides a new tool for the investigation of the conductance of mesoscopic systems without the need for invasive probes and can be compared with recent theoretical predictions emphasizing the differences between isolated and connected geometries and the relation between ac conductance and persistent currents.
Persistent currents in mesoscopic rings by suppression of charge fluctuations.
  • Schmid
  • Physics
    Physical review letters
  • 1991
TLDR
It will be shown that the magnitude of persistent currents increases the more that fluctuations in the charge are suppressed, which explains the peculiar role of the Coulomb interactions between electrons and ions which enforces local charge neutrality.
Persistent currents in a one-dimensional ring for a disordered Hubbard model.
TLDR
The charge stiffness for a mesoscopic ring is computed as a function of the size L, which is a measure of the persistent currents, and it is found that for finite disorder the persistence of the system with repulsive interactions is larger than those of theSystem with attractive interactions.
...
...