Finite Size Effects in Correlated Electron Models
Title | Finite Size Effects in Correlated Electron Models PDF eBook |
Author | Andrei A. Zvyagin |
Publisher | World Scientific |
Total Pages | 380 |
Release | 2005 |
Genre | Science |
ISBN | 1860945031 |
The book presents exact results for one-dimensional models (including quantum spin models) of strongly correlated electrons in a comprehensive and concise manner. It incorporates important results related to magnetic and hybridization impurities in electron hosts and contains exact original results for disordered ensembles of impurities in interacting systems. These models describe a number of real low-dimensional electron systems that are widely used in nanophysics and microelectronics.An important method of modern theoretical and mathematical physics — the Bethe's Ansatz (BA) — is introduced to readers. This book presents different forms of the BA for periodic and open quantum chains. Other forms dealt with are the co-ordinate BA, thermodynamic BA, nested BA, algebraic BA, and thermal BA. The book also contains a compact description of other theoretical methods such as scaling, conformal field theory, Abelian and non-Abelian bosonizations.The book is suitable for use as a textbook by graduate students in non-perturbative methods of low-dimensional quantum many-body theory. It will also be a useful source of reference for qualified physicists, as well as non-experts in low-dimensional physics, as it explores material necessary for further studies in the fields of exactly solvable quantum models and low-dimensional correlated electron systems.
Finite Size Effects in Correlated Electron Models
Title | Finite Size Effects in Correlated Electron Models PDF eBook |
Author | Andrei A. Zvyagin |
Publisher | World Scientific |
Total Pages | 380 |
Release | 2005 |
Genre | Science |
ISBN | 1860945031 |
The book presents exact results for one-dimensional models (including quantum spin models) of strongly correlated electrons in a comprehensive and concise manner. It incorporates important results related to magnetic and hybridization impurities in electron hosts and contains exact original results for disordered ensembles of impurities in interacting systems. These models describe a number of real low-dimensional electron systems that are widely used in nanophysics and microelectronics.An important method of modern theoretical and mathematical physics — the Bethe's Ansatz (BA) — is introduced to readers. This book presents different forms of the BA for periodic and open quantum chains. Other forms dealt with are the co-ordinate BA, thermodynamic BA, nested BA, algebraic BA, and thermal BA. The book also contains a compact description of other theoretical methods such as scaling, conformal field theory, Abelian and non-Abelian bosonizations.The book is suitable for use as a textbook by graduate students in non-perturbative methods of low-dimensional quantum many-body theory. It will also be a useful source of reference for qualified physicists, as well as non-experts in low-dimensional physics, as it explores material necessary for further studies in the fields of exactly solvable quantum models and low-dimensional correlated electron systems.
Exactly Solvable Models Of Strongly Correlated Electrons
Title | Exactly Solvable Models Of Strongly Correlated Electrons PDF eBook |
Author | Fabian H L Essler |
Publisher | World Scientific |
Total Pages | 504 |
Release | 1994-05-24 |
Genre | Science |
ISBN | 981450274X |
Systems of strongly correlated electrons are at the heart of recent developments in condensed matter theory. They have applications to phenomena like high-Tc superconductivity and the fractional quantum hall effect. Analytical solutions to such models, though mainly limited to one spatial dimension, provide a complete and unambiguous picture of the dynamics involved. This volume is devoted to such solutions obtained using the Bethe Ansatz, and concentrates on the most important of such models, the Hubbard model. The reprints are complemented by reviews at the start of each chapter and an extensive bibliography.
Correlated Electron Tunnelling and Quantum Motion of Vortices in Disordered Model Systems
Title | Correlated Electron Tunnelling and Quantum Motion of Vortices in Disordered Model Systems PDF eBook |
Author | David Ephron |
Publisher | |
Total Pages | 480 |
Release | 1996 |
Genre | |
ISBN |
Electron Correlations in Solid State Physics
Title | Electron Correlations in Solid State Physics PDF eBook |
Author | James Knox Freericks |
Publisher | |
Total Pages | 422 |
Release | 1991 |
Genre | |
ISBN |
Lectures on the Physics of Highly Correlated Electron Systems VII
Title | Lectures on the Physics of Highly Correlated Electron Systems VII PDF eBook |
Author | Adolpho Avella |
Publisher | American Institute of Physics |
Total Pages | 380 |
Release | 2003-08-29 |
Genre | Science |
ISBN |
The objective of the meeting was to promote the formation of young scientists by means of training through research. These features are reflected in the book: the pedagogical lectures are up-to-date monographs of relevant subjects in the field of condensed matter physics. Contributions include: polarons (the polaron concept, optical properties and internal structure of polarons, many-polaron systems, magnetoabsorption of polarons, optical properties of quantum dots: role of the polaron interaction, interacting polarons in a quantum dot, small polarons); multielectron bubbles in liquid helium: a spherical two-dimensional electron system (oscillation modes, bubble stability and fissioning, the spherical two-dimensional electron gas, the Wigner solid of electrons in the bubble); the numerical approach to the correlated electron problem: quantum Monte Carlo methods (the world line approach for the XXZ model and relation to the 6-vertex model, auxiliary field Quantum Monte Carlo algorithms, application of the auxiliary field QMC to specific Hamiltonians, the Hirsch-Fye impurity algorithm); basic models in the quantum theory of magnetism (the Heisenberg model, the Hubbard model, and the sd-model).
The Science Reports of the Tōhoku University
Title | The Science Reports of the Tōhoku University PDF eBook |
Author | |
Publisher | |
Total Pages | 168 |
Release | 1995 |
Genre | Astronomy |
ISBN |
Includes Annual reports for the Physics and Astronomy Departments.