Analytic and numeric Green's functions for a two-dimensional electron gas in an orthogonal magnetic field
- NEST-INFM, Scuola Normale Superiore, Piazza dei Cavalieri 7, I-56126 Pisa (Italy) and NEST-INFM, Dipartimento di Fisica 'E. Fermi', Universita di Pisa, Largo B. Pontecorvo 3, I-56127 Pisa (Italy)
- NEST-INFM, Dipartimento di Fisica 'E. Fermi', Universita di Pisa, Largo B. Pontecorvo 3, I-56127 Pisa (Italy)
- NEST-INFM, Dipartimento di Fisica 'A. Volta', Universita di Pavia, Via A. Bassi 6, I-27100 Pavia (Italy)
We have derived closed analytic expressions for the Green's function of an electron in a two-dimensional electron gas threaded by a uniform perpendicular magnetic field, also in the presence of a uniform electric field and of a parabolic spatial confinement. A workable and powerful numerical procedure for the calculation of the Green's functions for a large infinitely extended quantum wire is considered exploiting a lattice model for the wire, the tight-binding representation for the corresponding matrix Green's function, and the Peierls phase factor in the Hamiltonian hopping matrix element to account for the magnetic field. The numerical evaluation of the Green's function has been performed by means of the decimation-renormalization method, and quite satisfactorily compared with the analytic results worked out in this paper. As an example of the versatility of the numerical and analytic tools here presented, the peculiar semilocal character of the magnetic Green's function is studied in detail because of its basic importance in determining magneto-transport properties in mesoscopic systems.
- OSTI ID:
- 20767011
- Journal Information:
- Annals of Physics (New York), Vol. 321, Issue 5; Other Information: DOI: 10.1016/j.aop.2005.09.008; PII: S0003-4916(05)00160-0; Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
- Country of Publication:
- United States
- Language:
- English
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