A new algorithm for Monte Carlo simulations of charge transport in semiconductors is devised in order to properly deal with Pauli’s exclusion principle in the degenerate case. Applications are presented in the case of monolayer graphene and comparisons with solutions of the Boltzmann equation obtained by using a discontinuous Galerkin method furnish a cross-validation of the proposed approach.

DSMC method consistent with the Pauli exclusion principle and comparison with deterministic solutions for charge transport in graphene

ROMANO, Vittorio;MAJORANA, Armando;
2015

Abstract

A new algorithm for Monte Carlo simulations of charge transport in semiconductors is devised in order to properly deal with Pauli’s exclusion principle in the degenerate case. Applications are presented in the case of monolayer graphene and comparisons with solutions of the Boltzmann equation obtained by using a discontinuous Galerkin method furnish a cross-validation of the proposed approach.
Monte Carlo method ; Pauli’s exclusion principle ; Discontinuous Galerkin method
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/18603
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