Green's function simulation of quantum structures including magnetic field

Dapeng Guan, Umberto Ravaioli

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Practical simulation of quantum structures requires considerable development of numerical tools and physical models, in order to approach the level of functionality of established methodologies for classical devices. We have realized a general procedure for multidimensional nonequilibrium Green's functions (NEGF) simulation, coupled to a variety of Schrodinger and Poisson solvers for different applications. Here, we describe the extensions of the model to include the effect of magnetic field and extend the simulation to multiterminal structures. We outline a procedure for the proper evaluation of the self-energy in all open terminals by using a suitable gauge transformation which is required by the nonhermitian Hamiltonian. We apply the method to the simulation of structures used for quantum-Hall effect which provide a well-tested benchmark for theoretical models and simulations including the magnetic field.

Original languageEnglish (US)
Title of host publicationProceedings of the 2002 2nd IEEE Conference on Nanotechnology, IEEE-NANO 2002
PublisherIEEE Computer Society
Pages413-416
Number of pages4
Volume2002-January
ISBN (Electronic)0780375386
DOIs
StatePublished - 2002
Event2nd IEEE Conference on Nanotechnology, IEEE-NANO 2002 - Washington, United States
Duration: Aug 26 2002Aug 28 2002

Other

Other2nd IEEE Conference on Nanotechnology, IEEE-NANO 2002
CountryUnited States
CityWashington
Period8/26/028/28/02

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Keywords

  • Electrons
  • Green's function methods
  • Hall effect
  • Magnetic field measurement
  • Magnetic fields
  • Multidimensional systems
  • Optical scattering
  • Probes
  • Quantum mechanics
  • Voltage

ASJC Scopus subject areas

  • Bioengineering
  • Electrical and Electronic Engineering
  • Materials Chemistry
  • Condensed Matter Physics

Cite this

Guan, D., & Ravaioli, U. (2002). Green's function simulation of quantum structures including magnetic field. In Proceedings of the 2002 2nd IEEE Conference on Nanotechnology, IEEE-NANO 2002 (Vol. 2002-January, pp. 413-416). [1032278] IEEE Computer Society. https://doi.org/10.1109/NANO.2002.1032278