A numerically efficient approach to the modelling of double-Qdot channels

• Autorzy: A. Shamloo , A.P. Sowa
• Języki publikacji: EN

Abstrakty

EN

We consider the electronic properties of a system consisting of two quantum dots in physical proximity, which we will refer to as the double-Qdot. Double-Qdots are attractive in light of their potential application to spin-based quantum computing and other electronic applications, e.g. as specialized sensors. Our main goal is to derive the essential properties of the double-Qdot from a model that is rigorous yet numerically tractable, and largely circumvents the complexities of an ab initio simulation. To this end we propose a novel Hamiltonian that captures the dynamics of a bi-partite quantum system, wherein the interaction is described via a Wiener-Hopf type operator. We subsequently describe the density of states function and derive the electronic properties of the underlying system. The analysis seems to capture a plethora of electronic profiles, and reveals the versatility of the proposed framework for double-Qdot channel modelling.

Słowa kluczowe

EN

Qdot; double-Qdot channel; composite quantum system; nanoelectronics

Kategorie tematyczne

• 82D80: Nanostructures and nanoparticles
• 81Q10: Selfadjoint operator theory in quantum theory, including spectral analysis
• 94C99: None of the above, but in this section
• 81Q15: Perturbation theories for operators and differential equations
• 81Q37: Quantum dots, waveguides, ratchets, etc.
• 82D37: Semiconductors

• 68.65.Hb: Quantum dots (patterned in quantum wells)
• 02.10.Yn: Matrix theory
• 85.35.Be: Quantum well devices (quantum dots, quantum wires, etc.)
• 73.63.Kv: Quantum dots

• Wydawca: De Gruyter Open
• Czasopismo: Nanoscale Systems: Mathematical Modeling, Theory and Applications
• Rocznik: 2013
• Tom: 2
• Strony: 145-156

Daty

otrzymano

2013-06-07

poprawiono

2013-07-31

zaakceptowano

2013-08-05

online

2013-09-02

Twórcy

autor

A. Shamloo

• IDepartment of Mathematics and Statistics,
  University of Saskatchewan
  106 Wiggins Road, Saskatoon, SK S7N 5E6, Canada

autor

A.P. Sowa

• IDepartment of Mathematics and Statistics,
  University of Saskatchewan
  106 Wiggins Road, Saskatoon, SK S7N 5E6, Canada

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Identyfikatory

DOI

10.2478/nsmmt-2013-0009