eprintid: 2469
rev_number: 8
eprint_status: archive
userid: 1
dir: disk0/00/00/24/69
datestamp: 2002-07-23 00:00:00
lastmod: 2014-04-03 12:00:48
status_changed: 2012-08-14 15:04:55
type: doctoralThesis
metadata_visibility: show
creators_name: Bick, Eike
title: Symmetry breaking in the Hubbard model : a bosonization approach
title_de: Symmetriebrechung im Hubbardmodell : ein Bosonisierungsansatz
ispublished: pub
subjects: ddc-530
divisions: i-130300
adv_faculty: af-13
keywords: superconductivity , cuprates , antiferromagnetism , Hubbard model , renormalization group
cterms_swd: Hochtemperatursupraleiter
cterms_swd: Renormierungsgruppe
cterms_swd: Antiferromagnetismus
abstract_translated_text: Almost all known high temperature superconductors are cuprates, which can be suitably modelled by the two dimensional Hubbard model. To understand the interplay of various long range properties as antiferromagnetism and superconductivity, one can calculate the phase diagram of the Hubbard model in the charge density-temperature plane. This analysis is conveniently carried out by means of exact renormalization group equations that we apply in the formalism of the effective average action. For this purpose, we derive an equivalent version of the Hubbard model that takes the form of a Yukawa theory. From this modified model long range order in various channels can be extracted by simple calculation of bosonic expectation values. We are able to reproduce the main features of the phase diagram of high temperature superconductors. Furthermore, our analysis shows how the Mermin-Wagner theorem can be reconciled with the existence of antiferromagnetic long range order at non vanishing temperature and how the inclusion of different kinds of bosonic fluctuations affect the phase diagram.
abstract_translated_lang: eng
class_scheme: pacs
class_labels: 74.20.-z, 71.10.Fd, 75.10.-b
date: 2002
date_type: published
id_scheme: DOI
id_number: 10.11588/heidok.00002469
ppn_swb: 1643331183
own_urn: urn:nbn:de:bsz:16-opus-24692
date_accepted: 2002-07-03
advisor: HASH(0x558eaa707b68)
language: eng
bibsort: BICKEIKESYMMETRYBR2002
full_text_status: public
citation:   Bick, Eike  (2002) Symmetry breaking in the Hubbard model : a bosonization approach.  [Dissertation]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/2469/1/main.pdf