Possible bistability of the persistent current of two interacting electrons in a quantum ring

Wendler, L.; Fomin, V. M.

doi:10.1103/physrevb.51.17814

Cited by 29 publications

(20 citation statements)

References 27 publications

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“…Comparing with the persistent current of a single electron in a narrow-width QR, given by (44) and (43, it is obvious that the persistent current at T = 0 in the absence of impurities is identical for interacting electrons in the para state and non-interacting electrons, in agreement with our general results, i.e., that I , cc (L,)s and [H, L,] = 0 excludes the influence of the electron-electron interaction, and with the numerical calculation of [30]. It was shown recently [46] that magnetic impurities and the spin-orbit coupling can cause spin-flip processes between the states S = 0 and S = 1 resulting in the possibility of bistability and hysteresis in the persistent current.…”

Section: = -(2/q0)supporting

confidence: 91%

Persistent Currents in Finite‐Width Mesoscopic Rings. The Role of the Interchannel Coupling and of the Electron‐Electron Interaction

Wendler

Fomin

1995

Physica Status Solidi (b)

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The persistent currents of few interacting electrons with spin in mesoscopic rings are calculated in the ballistic regime. The energy bands of the finite-width multi-channel ring are calculated with the transfer-matrix method including the interchannel coupling induced by the impurity scattering, and the electron-electron interaction. It is shown that in the case of a narrow-width ring the electron-electron interaction and the confining potential build a rotating Wigner crystal of the few electrons, where the relative angular motions are harmonic oscillations if the impurity potential is weak. As long as this picture remains valid, the persistent current is not influenced by the electron-electron interaction. It is shown that the width of the mesoscopic ring is the critical parameter for the influence of the electron-electron interaction on the persistent current. With increasing width of the mesoscopic ring, the electron-electron interaction decreases the amplitude of the persistent current at low temperatures and increases it at higher temperatures. Further, for a finite width of the mesoscopic ring the interchannel coupling becomes important, which results in the occurrence of higher harmonics in the persistent current.

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Section: = -(2/q0)supporting

confidence: 91%

Persistent Currents in Finite‐Width Mesoscopic Rings. The Role of the Interchannel Coupling and of the Electron‐Electron Interaction

Wendler

Fomin

1995

Physica Status Solidi (b)

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“…One of the basic questions addressed by many theoretical explanation is concerned with the role of the electron-electron interaction. [6][7][8][9][10][11][12][13] For a narrow-width rings, an adiabatic approximation allows one to decouple the radial motion from the angular motions and to arrive at analytical solutions for the wave functions and the energy spectra. 12,14 As shown scopic structures, the nanorings are in the true quantum limit.…”

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confidence: 99%

“…[6][7][8][9][10][11][12][13] For a narrow-width rings, an adiabatic approximation allows one to decouple the radial motion from the angular motions and to arrive at analytical solutions for the wave functions and the energy spectra. 12,14 As shown scopic structures, the nanorings are in the true quantum limit. By applying two complementary spectroscopic techniques, capacitance-voltage (CV) spectra and far-infrared (FIR) spectroscopy, they investigate both the ground state transition and excitation's properties of these two-electron nanorings in a magnetic field perpendicular to the plane of rings.…”

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confidence: 99%

Energy levels and far-infrared spectroscopy for two electrons in a nanoscopic semiconductor ring

Zhu

Xiong

2000

Phys. Rev. B

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The effects of electron-electron interaction of a two-electron nanoring on the energy levels and far-infrared spectroscopy have been investigated based on a model calculation which is performed within the exactly numerical diagonalization. It is found that the interaction changes the energy spectra dramatically, and also shows significant influence on the far-infrared spectroscopy.The crossings between the lowest spin-singlet and triplet states induced by the coulomb interaction are clearly revealed. Our results are related to the experiment recently carried out by A. Lorke et al. [Phys. Rev. Lett. 84, 2223].

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“…This remark does not apply to superconducting devices and mesoscopic rings carrying persistent currents, 20 for which the torus-like topology is a natural feature. Playing the role of leads, the reservoirs contain two distinct, thermalized electron gases characterized by two different chemical potentials, the difference of which is assumed to equal the applied voltage.…”

Section: A Open Versus Closed Circuitsmentioning

confidence: 99%

Quantized conductance, circuit topology, and flux quantization

Magnus

Schoenmaker

2000

Phys. Rev. B

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Possible bistability of the persistent current of two interacting electrons in a quantum ring

Cited by 29 publications

References 27 publications

Persistent Currents in Finite‐Width Mesoscopic Rings. The Role of the Interchannel Coupling and of the Electron‐Electron Interaction

Persistent Currents in Finite‐Width Mesoscopic Rings. The Role of the Interchannel Coupling and of the Electron‐Electron Interaction

Energy levels and far-infrared spectroscopy for two electrons in a nanoscopic semiconductor ring

Quantized conductance, circuit topology, and flux quantization

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