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Author : David Eichenberger
Publisher :
ISBN 13 :
Total Pages : 121 pages
Book Rating : 4.:/5 (716 download)
Download or read book Superconductivity and Antiferromagnetism in the Two-dimensional Hubbard Model written by David Eichenberger and published by . This book was released on 2008 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Superconductivity and Antiferromagnetism in the Two-dimensional Hubbard Model written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite its apparent simplicity and even if it has been studied intensively in various contexts, the two-dimensional Hubbard model is not yet completely understood. In particular when it describes a system with an intermediate interaction, out of range for perturbative methods, its ground state is still not well known. The discovery in 1986 of a superconducting phase in the copper oxides (cuprates), which appears at rather high temperature, has further enhanced the interest for this model, as it may describe the amazing poperties of these layered materials. Indeed, when the electronic density corresponds to a half-filled band, the Hubbard model is known to nicely account for the antiferromagnetic phase obtained experimentally for the cuprates and it is possible, as first proposed by P.W. Anderson, that it describes equally well the superconducting phase observed below a critical temperature, when the electronic density is moderatly reduced by modifying the compound composition (doping). In this case, the superconductivity originates from purely electronic interactions, contrary to conventional superconductivity where the interaction between electrons and lattice vibrations (phonons) is involved. Unfortunately, very few stringent results are available in order to support this statement and this question is still largely debated. In this thesis, the variational method is used in order to scrutinize the possibility of a superconducting ground state for the repulsive Hubbard model. Although its reliability is based on the adequate choice of the variational wave function, this method is especially suited for treating intermediate interactions, which is the appropriate regime of the cuprates. The optimization of a refined wave function allows us to obtain a variational ground state which is much closer to the exact ground state than those obtained so far using less elaborate wave functions. Actually, the exact study of small systems indicates that the error of our calcul.
Download or read book Superconductivity and Antiferromagnetism in the Two-dimensional Hubbard Model: a Variational Study written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A variational ground state of the repulsive Hubbard model on a square lattice is investigated numerically for an intermediate coupling strength (U=8t) and for moderate sizes (from 6×6 to 10×10). Our ansatz is superior to other widely used variational wave functions. The results for order parameters and correlation functions provide insight into the antiferromagnetic state at half-filling as well as strong evidence for a superconducting phase away from half-filling.
Author : Hans Christian Krahl
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (183 download)
Download or read book Antiferromagnetism and D-wave Superconductivity in the Hubbard Model written by Hans Christian Krahl and published by . This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dipayan Roy
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (133 download)
Download or read book Superconductivity in Two-dimensions from the Hubbard Model to the Su-Schrieffer-Heeger Model written by Dipayan Roy and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study unconventional superconductivity in two-dimensional systems. Unbiased numerical calculations within two-dimensional Hubbard models have found no evidence for long-range superconducting order. Most of the two-dimensional theories suggest that the superconducting state can be obtained by destabilizing an antiferromagnetic or spin-liquid insulating state. An antiferromagnet is a half-filled system because each site has one electron or hole. However, in anisotropic triangular lattices, numerical calculation finds pairing enhancement at quarter-filling but no long-range superconducting order. Many organic superconductors are dimerized in nature. Such a dimer lattice is effectively half-filled because each dimer has one electron or hole. Some theories suggest that magnetic fluctuation in such a system can give superconductivity. However, at zero temperature, we performed density matrix renormalization group (DMRG) calculations in such a system, and we find no superconducting long-range order. We also find that the antiferromagnetic order is not necessary to get a superconducting state. Failure in explaining superconductivity in two-dimensional systems suggests that only repulsive interactions between electrons are not sufficient, and other interactions are required. The most likely candidate is the electron-phonon interaction. However, existing theories of superconductivity emphasize either electron-electron or electron-phonon interactions, each of which tends to cancel the effect of the other. We present direct evidence from quantum Monte Carlo calculations of cooperative, as opposed to competing, effects of electron-electron and electron-phonon interactions within the frustrated Hubbard Hamiltonian, uniquely at the band-filling of one-quarter. Bond-coupled phonons and the onsite Hubbard U cooperatively reinforce d-wave superconducting pair-pair correlations at this filling while competing with one another at all other densities. Our work further gives new insight into how intertwined charge-order and superconductivity appear in real materials.
Author : Arianna Montorsi
Publisher : World Scientific
ISBN 13 : 9789810205850
Total Pages : 306 pages
Book Rating : 4.2/5 (58 download)
Download or read book The Hubbard Model written by Arianna Montorsi and published by World Scientific. This book was released on 1992 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers a collection of reprints on the Hubbard Model. The major contributions to the subject since its origin are included, with the aim of providing all scientists working on the model and its applications with easy access to the relevant literature.The book is divided into five parts. The introductory part is concerned with the physical origin and motivations of the model, and contains a collection of mainly historical papers. The remaining four sections are intended to present a coherent scenario of the different approaches to the model solution: exact and rigorous statistical mechanics results; variational methods; perturbative approaches; numerical Quantum Monte Carlo and exact diagonalization studies. Among the applications special emphasis is given to high-Tc superconductivity. Each section is preceded by commentary notes from the editor.
Author : A. P. Balachandran
Publisher : World Scientific
ISBN 13 : 9789810203481
Total Pages : 150 pages
Book Rating : 4.2/5 (34 download)
Download or read book Hubbard Model and Anyon Superconductivity written by A. P. Balachandran and published by World Scientific. This book was released on 1990 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several different models have recently been proposed to explain High Temperature Superconductivity. This book gives an authoritative and up-to-date review of two such proposals, namely the Hubbard and Anyon Models. This invaluable reference is a must for all physicists interested in the fast-paced revolutionary field of High Temperature Superconductivity.
Author : Karl-Heinz Bennemann
Publisher : Springer Science & Business Media
ISBN 13 : 3540732535
Total Pages : 1568 pages
Book Rating : 4.5/5 (47 download)
Download or read book Superconductivity written by Karl-Heinz Bennemann and published by Springer Science & Business Media. This book was released on 2008-04-25 with total page 1568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This extensive and comprehensive handbook systematically reviews the basic physics, theory and recent advances in superconductivity. Covering the entire field, this unparalleled resource carefully blends theoretical studies with experimental results to provide an indispensable foundation for further research. Leading researchers, including Nobel laureates, describe the state of the art in conventional and unconventional superconductors. In addition to full-coverage of novel materials and underlying mechanisms, the handbook reflects continued, intense research into electron-phone based superconductivity.
Author : A Montorsi
Publisher : World Scientific
ISBN 13 : 9814506354
Total Pages : 297 pages
Book Rating : 4.8/5 (145 download)
Download or read book Hubbard Model, The: A Collection Of Reprints written by A Montorsi and published by World Scientific. This book was released on 1992-03-20 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers a collection of reprints on the Hubbard Model. The major contributions to the subject since its origin are included, with the aim of providing all scientists working on the model and its applications with easy access to the relevant literature.The book is divided into five parts. The introductory part is concerned with the physical origin and motivations of the model, and contains a collection of mainly historical papers. The remaining four sections are intended to present a coherent scenario of the different approaches to the model solution: exact and rigorous statistical mechanics results; variational methods; perturbative approaches; numerical Quantum Monte Carlo and exact diagonalization studies. Among the applications special emphasis is given to high-Tc superconductivity. Each section is preceded by commentary notes from the editor.
Author : Su Zhao-bin
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (838 download)
Download or read book Possible Coexistence of Antiferromagnetism and Superconductivity in the Hubbard Model written by Su Zhao-bin and published by . This book was released on 1988 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Simon Friederich
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (724 download)
Download or read book Functional Renormalization for Antiferromagnetism and Superconductivity in the Hubbard Model written by Simon Friederich and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Superconductivity in the Two-dimensional Hubbard Model? written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. Tachiki
Publisher : Elsevier
ISBN 13 : 1483275175
Total Pages : 561 pages
Book Rating : 4.4/5 (832 download)
Download or read book Proceedings of the Yamada Conference XVIII on Superconductivity in Highly Correlated Fermion Systems written by M. Tachiki and published by Elsevier. This book was released on 2013-09-24 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: Superconductivity in Highly Correlated Fermion Systems documents the proceedings of the Yamada Conference XVIII on Superconductivity in Highly Correlated Fermion Systems held in Sendai, Japan, from August 31 to September 3, 1987. This book compiles selected papers on the experimental and theoretical advances in the study of superconductivity. The topics include the superconductivity and magnetism in heavy-electron materials, magneto-resistance of heavy-fermion compounds, and magnetic fluctuations and order in exotic superconductors. The fabrication and properties of thin superconducting oxide films, bipolaron models of superconductors, superconducting properties of superlattices, and flux quantization on quasi-crystalline networks are also covered. This publication is recommended for physicists and students researching on the superconductivity in highly correlated fermion systems.
Author : Karl-Heinz Bennemann
Publisher : Springer Science & Business Media
ISBN 13 : 3642189148
Total Pages : 1149 pages
Book Rating : 4.6/5 (421 download)
Download or read book The Physics of Superconductors written by Karl-Heinz Bennemann and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 1149 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume of a comprehensive two-volume treatise on superconductivity that represents the first such publication since the earlier widely acclaimed books by R. Parks. It systematically reviews the basic physics and recent advances in the field. Leading researchers describe the state of the art in conventional phonon-induced superconductivity, high-Tc superconductivity, and in novel superconductivity, including triplet pairing in the ruthenates. The second volume is largely concerned with novel superconductors, such as heavy-fermion metals and organic materials, and also includes granular superconductors. Important new results on current problems are presented in a manner designed to stimulate further research. Numerous illustrations, diagrams and tables make this book especially useful as a reference work for students, teachers and researchers. Volume 1 treats Conventional and High-Tc Superconductors (3-540-43883-1).
Author : Mario Rasetti
Publisher : World Scientific
ISBN 13 : 9789810206246
Total Pages : 250 pages
Book Rating : 4.2/5 (62 download)
Download or read book The Hubbard Model written by Mario Rasetti and published by World Scientific. This book was released on 1991 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles provides authoritative and up-to-date reviews on the Hubbard Model. It will be useful to graduate students and researchers in the field.
Author : V Emery
Publisher : World Scientific
ISBN 13 : 9814553697
Total Pages : 364 pages
Book Rating : 4.8/5 (145 download)
Download or read book Correlated Electron Systems - Proceedings Of The 9th Jerusalem Winter School For Theoretical Physics written by V Emery and published by World Scientific. This book was released on 1993-08-30 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of the correlated motion of electrons in solids is of increasing importance in condensed matter physics. In the past few years, the discovery of high-temperature superconductors has stimulated an enormous theoretical effort in this area, building on earlier theories of heavy-fermion and organic superconductors, and magnetic insulators. In a separate development the discovery of the fractional quantum Hall effect stimulated research into the behavior of the two-dimensional electron gas in a strong transverse magnetic field.The lectures at this school gave a systematic presentation of the current status of the theory in these areas. They covered the fractional quantum Hall effect and the many-body physics of the Hubbard model and its extensions, paying particular attention to the properties of doped insulators which are relevant for high-temperature superconductivity. There were detailed discussions of situations for which controlled calculations may be carried out — specifically infinite dimensions, one dimension, and generalized models in which the fermions have N components and N → •.
Author : Ehsan Khatami
Publisher :
ISBN 13 :
Total Pages : 145 pages
Book Rating : 4.:/5 (499 download)
Download or read book Criticality and Superconductivity in the Two-dimensional Hubbard Model of Strongly Correlated Electronic Systems written by Ehsan Khatami and published by . This book was released on 2009 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many properties of the two-dimensional Hubbard model have been explored for the model parameters appropriate for strongly correlated electronic systems, especially cuprate superconductors. Most of the calculations are done using a well-established dynamical cluster quantum Monte Carlo method. Using this method, we investigate the effect of long-range hoppings on superconductivity with and without the presence of phonons on small clusters. The superconducting transition temperature, Tc, is found to generally decrease with a negative next nearest neighbor hopping, t'. In the presence of the Holstein phonons, a finite t' enhances Tc in the under-doped region for the hole-doped system, consistent with band structure calculations and experiment. The validity of the spin-susceptibility-mediated pairing in this model is studied and found to yield symmetries other than d-wave when a finite t' is considered. A new numerical algorithm for solving the embedded cluster problems is introduced, and used to calculate the thermodynamic properties of the model on larger clusters, especially those associated with the quantum critical behavior at finite doping. Our results suggest that the quantum critical point (QCP) which separates the Fermi liquid and pseudogap regions, is the second order terminus of the line of first order phase separation transition in the limit when a positive t' goes to zero. For small t', the superconducting dome is centered at the QCP, suggesting that charge fluctuations might have a role in the pairing mechanism in this model.
