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Seminars & Lectures

* TITLE

[JRG Seminar] Discussion Group on Numerical Renormalization Group Calculations for the Bosonic Single-Impurity Anderson Model

* SPEAKERS

Name	Affiliation	E-mail
Dr. Hyun-Jung Lee	APCTP	leehyung(at)apctp.org

* HOST(Applicant)

Name	Affiliation	E-mail
-

* DATE / TIME

2008-10-17, 10:00-11:30

* PLACE

Hogil Kim Memorial Bldg. 512, POSTECH, Pohang, Korea

* ABSTRACT

Recently, we generalized the Numerical Renormalization Group (NRG) method for quantum impurities coupled to a bosonic bath (R. Bulla, H.-J. Lee, N.-H. Tong and M. Vojta, PRB 71, 045122 (2005)). This method has been shown to give very accurate results for the spin-boson model.
As another application of the bosonic Numerical Renormalization Group, we investigated the bosonic single-impurity Anderson model (bsiAm), obtained from the standard (fermionic) single-impurity Anderson model by substituting all fermionic operators with bosonic ones. The impurity model revealed quantum phase transitions and lines of quantum critical points between the BEC phase and the Mott phases (H.-J. Lee and R. Bulla, Eur. Phys. J. 56, 199 (2007)), of which the terminology was obtained in analogy to the Bose-Hubbard model, regarding the connection of the bosonic single-impurity Anderson model with the Bose-Hubbard model via DMFT (Dynamic Mean-Field Theory).
The local spectral density and the self-energy of the bsiAm were calculated to examine the properties of the Mott and the BEC phases and seek for a self-consistent solution of the DMFT for the Bose-Hubbard model.

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