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Non-Linear Canonical Methods in Strongly Correlated Electron Systems


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Title: Non-Linear Canonical Methods in Strongly Correlated Electron Systems
Authors: Bazzanella, Matteo
E-mail: Matteo.Bazzanella@physics.gu.se
Issue Date: 14-Nov-2014
University: Göteborgs universitet. Naturvetenskapliga fakulteten
Institution: Department of Physics ; Institutionen för fysik
Parts of work: M. Bazzanella and J. Nilsson, Non-linear Methods in Strongly Correlated Electron systems, arXiv:1405.5176 (in manuscript).

J. Nilsson and M. Bazzanella, Free fermion description of a paramagnetic Mott insulator, arXiv:1407.4310 (in manuscript).

M. Bazzanella and J. Nilsson, Ferromagnetism in the one-dimensional Kondo lattice: mean-field approach via Majorana fermion canonical transformation, Phys. Rev. B 89, 035121 (2014).
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J. Nilsson and M. Bazzanella, Majorana fermion description of the Kondo lattice: Variational and path integral approach, Phys. Rev. B 88, 045112 (2013).
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Date of Defence: 2014-12-16
Disputation: Tisdagen den 16 december 2014 kl. 13.00 i sal PJ, Institutionen för fysik, Fysikgården 1, Göteborg.
Degree: Doctor of Philosophy
Publication type: Doctoral thesis
Keywords: Majorana fermions
Emergent Majorana fermions
Non-linear transformation
canonical transformation
Kondo lattice
Mott insulator
Mean-field
Path-integral
Abstract: In this thesis some new ideas to perform the analysis of Strongly Correlated Electronic Systems (SCES) are developed. In particular the use of non-linear canonical transformations is considered thoroughly. Using such transformations it is possible, in some circumstances, to simplify the quantum problem redefining the fermionic degrees of freedom used to describe the system. To understand and use effectively these non-linear transformations it is convenient to work in the Majorana fermion represe... more
ISBN: 978-91-628-9186-2
URI: http://hdl.handle.net/2077/37148
Appears in Collections:Doctoral Theses from University of Gothenburg / Doktorsavhandlingar från Göteborgs universitet
Doctoral Theses / Doktorsavhandlingar Institutionen för fysik

 

 

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