Electron Spectrum in Nuclear Spin Polarization Induced Periodic Structures

Lembrikov, B. I.; Malits, P.; Kaplunovsky, A.; Haridim, M.; Vagner, I. D.

doi:10.1007/978-94-010-0221-9_20

Recent Trends in Theory of Physical Phenomena in High Magnetic Fields 2003

DOI: 10.1007/978-94-010-0221-9_20

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Electron Spectrum in Nuclear Spin Polarization Induced Periodic Structures

B. I. Lembrikov

P. Malits

A. Kaplunovsky

et al.

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2004

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Cited by 2 publications

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“…18 The characteristic energy scale of the interaction between conduction electrons and polarized nuclear spins makes it possible to confine the electrons into low-dimensional electron structures using modulation of the nuclear spin polarization. 5,[19][20][21][22] We assume that B ជ N is parallel to the external magnetic field B ជ ext . 16 Recent studies of 2DEG-based systems [23][24][25] have been focused on including the effects of the spin-orbit interaction on the conductance with perfect channel transmission T(E) ϭ1.…”

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Effect of spin-orbit interaction and in-plane magnetic field on the conductance of a quasi-one-dimensional system

2004

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We study the effect of spin-orbit interaction and in-plane effective magnetic field on the conductance of a quasi-one-dimensional ballistic electron system. The effective magnetic field includes the externally applied field, as well as the field due to polarized nuclear spins. The interplay of the spin-orbit interaction with effective magnetic field significantly modifies the band structure, producing additional sub-band extrema and energy gaps, introducing the dependence of the sub-band energies on the field direction. We generalize the Landauer formula at finite temperatures to incorporate these special features of the dispersion relation. The obtained formula describes the conductance of a ballistic conductor with an arbitrary dispersion relation.Recently, there have been numerous studies, both theoretical and experimental, of the properties of quasi-one-dimensional systems [1][2][3][4][5][6][7][8]. The motivation behind this interest has been the observation of conductance quantization. Most quasi-one-dimensional systems, or Quantum Wires (QW), are created by a split gate technique in a two-dimensional electron gas (2DEG) [6,7]. When a negative potential is applied to the gates, the electrons are depleted underneath. Thus, a one-dimensional channel or constriction is created between two reservoirs, in this case the 2DEG. For ballistic transport to occur [1], this constriction should be less than the electron mean free path, and have a width of the order of de Broglie wavelength [6][7][8]. When these conditions are satisfied, the electrons will move ballistically in the lateral direction and are confined transversely. The transverse confinement creates a discrete set of modes in the channel.The explanation for conductance quantization is found by using a non-interacting electron model.With a small bias applied across the channel, the electrons move from one reservoir to the other. Due to the transverse confinement in channel, the electrons are distributed, according to the Fermi-Dirac distribution, among various sub-bands in the channel. The calculation of the conductance has been summarized in the Landauer-Büttiker formalism [6][7][8]. Each one of the sub-bands contributes to the conductance.

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“…The characteristic energy scale of the interaction between conduction electrons and polarized nuclear spins is of the order of the Fermi energy, what makes possible to confine electrons into low-dimensional electron structures using modulation of nuclear spin polarization [19]. This idea was developed in [5,[20][21][22]. We assume that…”

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confidence: 99%

Effect of spin-orbit interaction and in-plane magnetic field on the conductance of a quasi-one-dimensional system

2004

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“…It has been recently suggested that locally polarized nuclei can be used to confine the electrons of two-dimensional electron gas (2DEG) into different so-called nuclear-spin-polarization-induced structures [10]- [13]. In these papers the electronic states in NSPI quantum wire [10], quantum dot [11]- [12], and periodic structure [13] were studied.…”

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Magnetization of nuclear-spin-polarization-induced quantum ring

Shevchenko

Pershin

Vagner

2004

Physica E: Low-dimensional Systems and Nanostructures

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Properties of a Nuclear-Spin-Polarization-Induced Quantum Ring (NSPI QR) are studied theoretically. In the proposed system a local nuclear spin polarization creates an effective hyperfine field which confines the electrons with the spins opposite to the hyperfine field to the regions of maximal nuclear spin polarization. We investigate the electron energy spectrum and the magnetic response of NSPI QR and their evolution in time due to the nuclear spin diffusion and relaxation.

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Electron Spectrum in Nuclear Spin Polarization Induced Periodic Structures

Cited by 2 publications

References 14 publications

Effect of spin-orbit interaction and in-plane magnetic field on the conductance of a quasi-one-dimensional system

Effect of spin-orbit interaction and in-plane magnetic field on the conductance of a quasi-one-dimensional system

Magnetization of nuclear-spin-polarization-induced quantum ring

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