### Abstract

Language | English |
---|---|

Article number | 036801 |

Number of pages | 4 |

Journal | Physical Review Letters |

Volume | 100 |

Issue number | 3 |

DOIs | |

Publication status | Published - 22 Feb 2008 |

### Fingerprint

### Keywords

- nonlinear theory
- Fermi magnetoplasma
- quantum diode

### Cite this

*Physical Review Letters*,

*100*(3), [036801]. https://doi.org/10.1103/PhysRevLett.100.036801

}

*Physical Review Letters*, vol. 100, no. 3, 036801. https://doi.org/10.1103/PhysRevLett.100.036801

**Nonlinear theory for a quantum diode in a dense Fermi magnetoplasma.** / Shukla, Padma; Eliasson, Bengt.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Nonlinear theory for a quantum diode in a dense Fermi magnetoplasma

AU - Shukla, Padma

AU - Eliasson, Bengt

PY - 2008/2/22

Y1 - 2008/2/22

N2 - We present a simple analytical nonlinear theory for quantum diodes in a dense Fermi magnetoplasma. By using the steady-state quantum hydrodynamical equations for a dense Fermi magnetoplasma, we derive coupled nonlinear Schödinger and Poisson equations. The latter are numerically solved to show the effects of the quantum statistical pressure, the quantum tunneling (or the quantum diffraction), and the external magnetic field strength on the potential and electron density profiles in a quantum diode at nanometer scales. It is found that the quantum statistical pressure introduces a lower bound on the steady electron flow in the quantum diode, while the quantum diffraction effect allows the electron tunneling at low flow speeds. The magnetic field acts as a barrier, and larger potentials are needed to drive currents through the quantum diode.

AB - We present a simple analytical nonlinear theory for quantum diodes in a dense Fermi magnetoplasma. By using the steady-state quantum hydrodynamical equations for a dense Fermi magnetoplasma, we derive coupled nonlinear Schödinger and Poisson equations. The latter are numerically solved to show the effects of the quantum statistical pressure, the quantum tunneling (or the quantum diffraction), and the external magnetic field strength on the potential and electron density profiles in a quantum diode at nanometer scales. It is found that the quantum statistical pressure introduces a lower bound on the steady electron flow in the quantum diode, while the quantum diffraction effect allows the electron tunneling at low flow speeds. The magnetic field acts as a barrier, and larger potentials are needed to drive currents through the quantum diode.

KW - nonlinear theory

KW - Fermi magnetoplasma

KW - quantum diode

U2 - 10.1103/PhysRevLett.100.036801

DO - 10.1103/PhysRevLett.100.036801

M3 - Article

VL - 100

JO - Physical Review Letters

T2 - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 3

M1 - 036801

ER -