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citation_title: The Functional Integral formulation of the Schrieffer-Wolff transformation
twitter:title: The Functional Integral formulation of the Schrieffer-Wolff transformation
og:site_name: arXiv.org
og:title: The Functional Integral formulation of the Schrieffer-Wolff transformation
citation_author: Zamani, Farzaneh
citation_date: 2016/05/08
title: [1605.02373] The Functional Integral formulation of the Schrieffer-Wolff transformation
og:description: 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.
citation_arxiv_id: 1605.02373
citation_online_date: 2016/07/07
twitter:site: @arxiv
dc:title: [1605.02373] The Functional Integral formulation of the Schrieffer-Wolff transformation
citation_doi: 10.1088/1367-2630/18/6/063024
twitter:description: 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...
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citation_pdf_url: https://arxiv.org/pdf/1605.02373
og:url: https://arxiv.org/abs/1605.02373v2
Content-Language: en
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