Persistent current in isolated mesoscopic rings

Weisz, J. F.; Kishore, R.; Kusmartsev, F. V.

doi:10.1103/physrevb.49.8126

Cited by 41 publications

(32 citation statements)

References 26 publications

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“…It was shown by Leggett that this effect is true for any one body and two body scattering and arises just because of the antisymmetric nature of the many body fermionic wavefunction [6]. With the addition of an extra electron in the ring, there is a statistical phase that shifts the E versus φ dispersion curve by φ 0 /2 and hence the N body and N+1 body states carry opposite persistent currents [7]. The parity effect is not destroyed by spin, finite temperature or disorder [5,7].…”

Section: Introductionmentioning

confidence: 99%

“…With the addition of an extra electron in the ring, there is a statistical phase that shifts the E versus φ dispersion curve by φ 0 /2 and hence the N body and N+1 body states carry opposite persistent currents [7]. The parity effect is not destroyed by spin, finite temperature or disorder [5,7]. Interactions do not destroy the parity effect but interactions with spin can lead to the creation of a fractional Aharonov-Bohm effect, which has however not been observed experimentally yet [8][9][10][11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

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Nature of eigenstates in a mesoscopic ring coupled to a side branch

Sreeram¹,

Deo²

1996

Physica B: Condensed Matter

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We formalize the parity effect of a multichannel ring coupled to a side branch using the tight binding model. We find that the tight binding model gives slightly different result from the continuum model. We also show that some states of the system can be nonmagnetic. In the multichannel ring coupled to a side branch, the persistent current in the ring does not change sign, over gigantic fluctuations in N (the number of particles in the ring).

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nature of eigenstates in a mesoscopic ring coupled to a side branch

Sreeram¹,

Deo²

1996

Physica B: Condensed Matter

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“…Such effect requires much stronger restriction on the crystal purity and temperature than the electronic Aharonov-Bohm effect. Fractional Aharonov-Bohm effect was also predicted [18] for the immobile ring, as a consequence of strong electron-electron correlation.…”

Section: It--~mentioning

confidence: 99%

Magnetic and electric Aharonov—Bohm effects in nanostructures

Kulik

1996

Physica B: Condensed Matter

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The paper reviews and extends the magnetic Aharonov-Bohm effect (persistent current, resistance oscillation) in normalmetal rings including spin-independent and spin-dependent hopping, Zeeman splitting, magnetic textures and wheels, ring rotation and weak coupling, as well as the electric Aharonov-Bohm effect ("persistent charge") in small metallic contacts. We then discuss dynamical screening effects in a surface charge in a metal. Energy dissipation due to motion of the surface charge has a singularity at the velocity of motion equal to the phonon propagation velocity. Surface image of an external charge inside the metal is strongly distorted at the velocity of motion larger than the Fermi velocity.

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“…In an experimental attempt, Levy et al [2] found that the sign of the current is a priori a random quantity depending on the realization of the disorder and the number of electrons (Ne). In the presence of diagonal disorder and at finite temperature, the PC in isolated mesoscopic rings has been studied by Weisz et al [18] by using the continuum and also tight-binding models in independent electrons approximation. They found that the magnitude of the persistent current reduces at finite temperature and the sign of the current may change as a result of increasing the temperature.…”

Section: Introductionmentioning

confidence: 99%