P 21326-N16 Direct Simulation of Quantum Transport in Semiconductors
Project Publications
Further Activities
Final Report

a) Peer-reviewed

[1] O. Morandi: Effective classical Liouville-like evolution equation for the quantum phase space dynamics,
J. Phys. A: Math. Theor. 43, 365302, 1-22 (2010).

[2] O. Morandi: A WKB approach to the quantum multiband electron dynamics in the kinetic formalism,
Communications in Applied and Industrial Mathematics 1, 167-184 (2010).

[3] P. Lichtenberger, O. Morandi and F. Schürrer: High field transport and optical phonon scattering in graphene,
Phys. Rev. B, 84, 045406, 1-7 (2011).

[4] O. Morandi and F. Schürrer: Quantum phase-space approach to the transport simulation in graphene devices, in Computational Electronics (IWCE), 2010 14th International Workshop on, Publisher: Institute of Electrical and Electronics Engineers (IEEE), Curran Associates Inc., Red Hook, 203-206 (2010).

[5] O. Morandi and F. Schürrer: Wigner model for quantum transport in graphene,
J. Phys. A: Math. Theor. 44, 265301, 1-32 (2011).

[6] O. Morandi and F. Schürrer, Wigner model for Klein tunneling in graphene,
Communications in Applied and Industrial Mathematics 2, 1-19 (2011).

[7] O. Morandi and F. Schürrer: Modeling Berry's phase in graphene by using the quantum kinetic approach,
in Progress in Industrial Mathematics at ECMI 2010, ed. by M. Günther, A. Bartel, M. Brunk, S. Schöps, M. Striebel, Springer, Berlin, 373-379 (2012).

[8] O. Morandi, L. Barletti and G. Frosali: Perturbation theory in terms of a generalized phase-space quantization procedure,
Boll. Unione Mat. Ital. (9) 4(1), 1-18 (2011).

[9] O. Morandi: Spin evolution in a two-dimensional electron gas after laser excitation.
Phys. Rev. B 83, 224428, 1-8 (2011).

[10] S. Possanner and C. Negulescu: Diffusion limit of a generalized matrix Boltzmann equation for spin-polarized transport,
Kinetic and Related Models (KRM) 4, 1159-1191 (2011).

[11] S. Possanner and B. A. Stickler: Non-markovian quantum dynamics from environmental relaxation,
Phys. Rev. A 85, 062115, 1-11 (2012).

[12] S. Possanner, L. Barletti, F. Méhats and C. Negulescu: Numerical study of a quantum-diffusive spin model for two-dimensional electron gases,
submitted to Comm. Math. Sci.


c) Stand-alone publications

[1] O. Morandi, Quantum phase-space transport and applications to the solid state physics, in Some Applications of Quantum Mechanics. Edited by M. R. Pahlavani, Publisher: InTech, 1-26 (2012).

ISBN 978-953-51-0059-1, Hard cover, 424 pages,
DOI: 10.5772/2540

Available from: http://www.intechopen.com/books/some-applications-of-quantum-mechanics/quantum-phase-space-transport-and-applications-to-the-solid-state-physics-

Description of the Book Chapter: During the last decades much attention has been paid to quantum transport models. Quantum modeling is becoming a crucial aspect in nanoelectronics. This Chapter is intended to present some different approaches for modeling quantum transport in nano-structures based on the Wigner, or more generally, on the quantum phase-space formalism. Our discussion is focused on the application of the Weyl quantization procedure to various problems. In particular, we highlight the existence of a general formalism that includes as a special case various models, each of which with a different range of applicability. We present an extension of the original Wigner approach, where a wide class of representation (or unitary operators) is analyzed. The applications of this formalism span among different subjects: the multi-band transport and applications to nano-devices, the infinite-order hbar-approximations of the motion and the characterization of a system in terms of Berry phases or, more generally, the representation of a quantum system by means of a Riemann manifold with a suitable connection. We review some results obtained in this contexts by presenting the major lines of the derivation of the models and there applications. Particular emphasis is devoted to present the methods used for the approximation of the solution.



With support from
FWFDer Wissenschaftsfonds