High-temperature superconductivity in the two-dimensional t-J model: Gutzwiller wavefunction solution

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dc.identifier.uri http://dx.doi.org/10.15488/388
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/411
dc.contributor.author Kaczmarczyk, Jan
dc.contributor.author Buenemann, Joerg
dc.contributor.author Spalek, Jozef
dc.date.accessioned 2016-08-12T08:08:31Z
dc.date.available 2016-08-12T08:08:31Z
dc.date.issued 2014-07-14
dc.identifier.citation Kaczmarczyk, Jan; Buenemann, Joerg; Spalek, Jozef: High-temperature superconductivity in the two-dimensional t-J model: Gutzwiller wavefunction solution. In: New Journal of Physics 16 (2014), 73018. DOI: http://dx.doi.org/10.1088/1367-2630/16/7/073018
dc.description.abstract A systematic diagrammatic expansion for Gutzwiller wavefunctions (DE-GWFs) proposed very recently is used for the description of the superconducting (SC) ground state in the two-dimensional square-lattice t–J model with the hopping electron amplitudes t (and $t^{\prime} $) between nearest (and next-nearest) neighbors. For the example of the SC state analysis we provide a detailed comparison of the methodʼs results with those of other approaches. Namely, (i) the truncated DE-GWF method reproduces the variational Monte Carlo (VMC) results and (ii) in the lowest (zeroth) order of the expansion the method can reproduce the analytical results of the standard Gutzwiller approximation (GA), as well as of the recently proposed 'grand-canonical Gutzwiller approximation' (called either GCGA or SGA). We obtain important features of the SC state. First, the SC gap at the Fermi surface resembles a ${{d}_{{{x}^{2}}-{{y}^{2}}}}$ wave only for optimally and overdoped systems, being diminished in the antinodal regions for the underdoped case in a qualitative agreement with experiment. Corrections to the gap structure are shown to arise from the longer range of the real-space pairing. Second, the nodal Fermi velocity is almost constant as a function of doping and agrees semi-quantitatively with experimental results. Third, we compare the doping dependence of the gap magnitude with experimental data. Fourth, we analyze the k-space properties of the model: Fermi surface topology and effective dispersion. The DE-GWF method opens up new perspectives for studying strongly correlated systems, as it (i) works in the thermodynamic limit, (ii) is comparable in accuracy to VMC, and (iii) has numerical complexity comparable to that of the GA (i.e., it provides the results much faster than the VMC approach). eng
dc.description.sponsorship Foundation for Polish Science (FNP)/TEAM program
dc.description.sponsorship National Science Centre (NCN)/MAESTRO
dc.language.iso eng
dc.publisher Bristol : IOP Publishing Ltd.
dc.relation.ispartofseries New Journal of Physics 16 (2014)
dc.rights CC BY 3.0 Unported
dc.rights.uri https://creativecommons.org/licenses/by/3.0/de/
dc.subject t-J model eng
dc.subject high-temperature superconductivity eng
dc.subject Gutzwiller wave function eng
dc.subject unconventional superconductivity eng
dc.subject variational Monte-Carlo method eng
dc.subject mean-field theory eng
dc.subject dimensional fermi-surface eng
dc.subject hubbard-model eng
dc.subject state eng
dc.subject transition eng
dc.subject pseudogap eng
dc.subject oxides eng
dc.subject instability eng
dc.subject competition eng
dc.subject ansatz eng
dc.subject.ddc 530 | Physik ger
dc.title High-temperature superconductivity in the two-dimensional t-J model: Gutzwiller wavefunction solution eng
dc.type article
dc.type Text
dc.relation.essn 1367-2630
dc.relation.doi http://dx.doi.org/10.1088/1367-2630/16/7/073018
dc.bibliographicCitation.volume 16
dc.bibliographicCitation.firstPage 73018
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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