Strongly correlated systems, coherence and entanglement / editors, J.M.P. Carmelo ... [et al.].

Format:

Book

Contributor:

Carmelo, Jose.

Language:

English

Subjects (All):

Coherent states.

Magnetic materials.

Quantum theory.

Superconductivity.

Physical Description:

1 online resource (612 p.)

Place of Publication:

Hackensack, N.J. : World Scientific, c2007.

Language Note:

English

Summary:

This volume presents a collection of review papers on recent work in the connected areas of strongly correlated systems, the effects of coherence on macroscopic systems, and entanglement in quantum systems. These areas have attracted considerable interest due to their complexity and associated unexpected nontrivial phenomena, and also due to their potential applications in various fields, from materials science to information technology. The coverage includes strongly correlated electronic systems such as low-dimensional complex materials, ordered and disordered spin systems, and aspects of th

Contents:

Contents; Preface; Strong Correlations, Transport and Dynamics in Complex Materials; 1. Correlation effects in one-dimensional systems J.M.P. Carmelo, P.D. Sacramento, D. Bozi and L.M. Martelo; Contents; 1.1. Effects of correlations; 1.1.1. Introduction; 1.1.2. Fermi liquid theory; 1.1.3. One-dimensional systems; 1.1.4. Tomonaga and Luttinger models; 1.1.5. Bosonization; 1.1.6. Tomonaga-Luttinger liquids; 1.2. Hubbard model; 1.2.1. Bethe ansatz solution; 1.2.2. Landau liquid description; 1.2.3. Low-temperature thermodynamics; 1.3. Summary; Acknowledgments; References

2. Dynamical and spectral properties of low dimensional materials J.M.P. Carmelo, P.D. Sacramento, D. Bozi and L.M. MarteloContents; 2.1. Introduction; 2.2. Correlation functions; 2.2.1. Conductivity: Drude peak and regular part; 2.2.2. Critical exponents and conformal field theory; 2.2.3. Finite-energy problems which can be mapped onto a low-energy conformal field theory; 2.3. Rotated electrons and the pseudofermion dynamical theory; 2.3.1. Pseudoparticles, rotated electrons, and pseudofermions; 2.3.2. The pseudofermion dynamical theory; 2.3.3. Application: the one-electron spectral function

2.4. ConclusionsAcknowledgments; References; 3. Electron spectral function of high-temperature cuprate superconductors T.C. Ribeiro and X.-G. Wen; Contents; 3.1. Introduction; 3.2. ARPES and the cuprates; 3.2.1. Undoped compounds; 3.2.2. Hole doped compounds; 3.2.3. Electron doped compounds; 3.3. Doped-carrier approach of the tt t J model; 3.3.1. Doped-carrier framework; 3.3.2. Doped-carrier mean-field theory; 3.4. Doped-carrier mean-field electron spectral function; 3.4.1. Mean-field electron operator; 3.4.2. Mean-field single-electron spectral function; 3.4.3. Hole doped case

3.4.3.1. Dispersive features3.4.3.2. Low energy spectral arcs; 3.4.3.3. Two spectral gaps; 3.4.3.4. Peak-dip-hump spectral structure; 3.4.3.5. Spectral weight transfer to low energy: the role of t and t; 3.4.3.6. Flat dispersion around (0, π) and (π, 0); 3.4.3.7. Dispersion kink; 3.4.3.8. Minimum gap locus topology; 3.4.3.9. d-wave gap renormalization; 3.4.4. Electron doped case; 3.4.4.1. Hole doped versus electron doped; 3.4.4.2. Electron pockets; 3.4.4.3. Nodal spectral weight as the signature of superconducting correlations; 3.4.4.4. d-wave gap renormalization; 3.5. Discussion

3.5.1. The role of short-range correlations3.5.2. Two-band description of the local energetics; 3.5.3. Interplay between dSC and AF correlations; 3.5.4. Doping dependent pseudogap energy; 3.6. Summary; Acknowledgments; References; 4. An introduction to the physics of graphene layers E.V. Castro, N.M.R. Peres, J.M.B. Lopes dos Santos, F. Guinea and A.H. Castro Neto; Contents; 4.1. Introduction; 4.1.1. Basic definitions; 4.2. The lattice structure of graphene; 4.2.1. Bulk electronic properties; 4.2.1.1. The continuum approximation; 4.2.2. Ribbons of finite width: Surface states

4.2.3. Graphene in a perpendicular magnetic field

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786611911966

9781281911964

1281911968

9789812772206

9812772200