English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  The functional integral formulation of the Schrieffer-Wolff transformation

Zamani, F., Ribeiro, P., & Kirchner, S. (2016). The functional integral formulation of the Schrieffer-Wolff transformation. New Journal of Physics, 18: 063024, pp. 1-17. doi:10.1088/1367-2630/18/6/063024.

Item is

Files

show Files

Locators

show

Creators

show
hide
 Creators:
Zamani, Farzaneh1, Author              
Ribeiro, Pedro2, Author
Kirchner, Stefan2, Author
Affiliations:
1Max Planck Institute for Chemical Physics of Solids, Max Planck Society, ou_1863404              
2external, ou_persistent22              

Content

show
hide
Free keywords: -
 Abstract: We revisit the Schrieffer-Wolff transformation and present a path integral version of this important canonical transformation. The equivalence between the low-energy sector of the Anderson model in the so-called local moment regime and the spin-isotropic Kondo model is usually established via a canonical transformation performed on the Hamiltonian, followed by a projection. Here we present a path integral formulation of the Schrieffer-Wolff transformation which relates the functional integral form of the partition function of the Anderson model to that of its effective low-energy model. The resulting functional integral assumes the form of a spin path integral and includes a geometric phase factor, i.e. a Berry phase. Our approach stresses the underlying symmetries of the model and allows for a straightforward generalization of the transformation to more involved models. It thus not only sheds new light on a classic problem, it also offers a systematic route of obtaining effective low-energy models and higher order corrections. This is demonstrated by obtaining the effective low-energy model of a quantum dot attached to two ferromagnetic leads.

Details

show
hide
Language(s): eng - English
 Dates: 2016-06-222016-06-22
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: New Journal of Physics
  Abbreviation : New J. Phys.
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: Bristol : IOP Publishing
Pages: - Volume / Issue: 18 Sequence Number: 063024 Start / End Page: 1 - 17 Identifier: ISSN: 1367-2630
CoNE: https://pure.mpg.de/cone/journals/resource/954926913666