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Seminars & Lectures

* TITLE

Green’s function for a two-electrode mesoscopic system under bias

* SPEAKERS

Name	Affiliation	E-mail
Prof. Jongbae Hong	Seoul Nat’l Univ.	sec(at)apctp.org

* HOST(Applicant)

Name	Affiliation	E-mail
-

* DATE / TIME

2010-08-17, 4:00pm

* PLACE

APCTP Headquarters, Pohang, Korea

* ABSTRACT

Electron transport in a two-electrode mesoscopic system under bias can be studied by obtaining the local density of states for a given bias. However, relevant method to obtain the local density of states for a given bias does not exist. I propose a new approach for calculating the retarded Green’s function for a given bias. A systematic way of determining the basis vectors for the Anderson Hamiltonian is introduced. This method may replace the well-known Lanczos algorithm. Then, the unnecessary basis vectors for describing Kondo regime are deleted and a reduced Liouville space is constructed. The retarded Green’s function is obtained nonperturbatively on this Liouville space. I show that this Green’s function contains the unique features of the single-impurity Anderson model that are shown by Fermi liquid theory and that the basis vectors for the two-reservoir Anderson model are obtained by simple extension of the basis of the single-reservoir Anderson model. The effect of bias in the two-reservoir Anderson model is contained in the matrix elements from which the retarded Green’s function is obtained.

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