Pairing in Fermionic Systems : Basic Concepts and Modern Applications.
Title:
Pairing in Fermionic Systems : Basic Concepts and Modern Applications.
Author:
Sedrakian, Armen.
ISBN:
9789812773043
Personal Author:
Physical Description:
1 online resource (296 pages)
Series:
Series on Advances in Quantum Many-Body Theory ; v.8
Series on Advances in Quantum Many-Body Theory
Contents:
Contents -- Preface -- 1. Color Superconductivity in Dense but not Asymptotically Dense Quark Matter -- 1.1. Introduction -- 1.2. Review of color superconductivity -- 1.3. The crystallography of three-flavor quark matter -- 1.4. Coda -- Bibliography -- 2. Larkin-Ovchinnikov-Fulde-Ferrell Phases in QCD -- 2.1. Introduction -- 2.2. High density effective theory -- 2.3. Two-species fermions with unpaired Fermi surfaces -- 2.4. LOFF phase in QCD with two flavors: one plane wave -- 2.5. LOFF phase of QCD with two flavors and more plane waves -- 2.6. LOFF phase of QCD with three flavors in the GL approximation -- Bibliography -- 3. Phase Diagram of Neutral Quark Matter at Moderate Densities -- 3.1. Introduction -- 3.2. Model -- 3.3. Phase diagram in absence of neutrino trapping -- 3.4. Phase diagram in presence of neutrino trapping -- 3.5. Conclusions -- Bibliography -- 4. Spontaneous Nambu-Goldstone Current Generation Driven by Mismatch -- 4.1. Introduction -- 4.2. The gauged SU(2) Nambu-Jona-Lasinio model -- 4.3. Chromomagnetic instabilities driven by mismatch -- 4.4. Color-neutral baryon-current instability -- 4.5. Spontaneous Nambu-Goldstone current generation -- 4.6. Conclusion and discussion -- Bibliography -- 5. The CFL Phase and ms: An Effective Field Theory Approach -- 5.1. Introduction -- 5.2. High density effective theory -- 5.3. Chiral theory of the CFL phase -- 5.4. Cold atomic systems -- 5.5. Outlook -- Bibliography -- 6. Nuclear Superconductivity in Compact Stars: BCS Theory and Beyond -- 6.1. Introduction -- 6.2. Many-body theories of pairing -- 6.3. Pairing in asymmetric nuclear systems -- 6.4. Crossover from BCS pairing to Bose-Einstein condensation -- 6.5. Vortex states in compact stars -- 6.6. Concluding remarks -- Acknowledgments -- Bibliography.
7. Pairing Properties of Dressed Nucleons in Infinite Matter -- 7.1. Introduction -- 7.2. Role of correlations in low-energy nucleon propagation -- 7.3. Short-range correlations and nucleon propagation in infinite matter -- 7.4. Pairing results for dressed nucleons -- 7.5. Conclusions -- Acknowledgments -- Bibliography -- 8. Pairing in Higher Angular Momentum States: Spectrum of Solutions of the 3P2-3F2 Pairing Model -- 8.1. Introduction -- 8.2. Separation method for singlet S-wave pairing -- 8.3. Generalized BCS gap equation and the 3P2-3F2 model -- 8.4. Real solutions of the 3P2-3F2 problem -- 8.5. Conclusions -- Bibliography -- 9. Four-Particle Condensates in Nuclear Systems -- 9.1. Introduction: Mean-field approximation in nuclear matter and BCS condensates -- 9.2. Cluster expansion of many-particle properties -- 9.3. Cluster mean-field approximation -- 9.4. Two-particle condensates at low temperatures -- 9.5. Four-particle condensates and quartetting in nuclear matter -- 9.6. Alpha-particle condensate states in light nuclei -- 9.7. Results for finite nuclei -- 9.8. Reduction of the a condensate with increasing density -- 9.9. Conclusions -- Bibliography -- 10. Realization Characterization and Detection of Novel Superfluid Phases with Pairing between Unbalanced Fermion Species -- 10.1. Introduction and brief review of experimental work -- 10.2. Characterization of phases based on symmetry and topology of Fermi surface(s) -- 10.3. Detection of phases based on "phase sensitive" experimental probes -- 10.4. Summary -- Bibliography -- 11. Phase Transition in Unbalanced Fermion Superfiuids -- 11.1. Introduction -- 11.2. The model -- 11.3. Phase transitions -- 11.4. Recent experimental work on trapped Fermi gases at finite temperature -- 11.5. Summary -- Bibliography -- Subject Index.
Abstract:
Cooper pairing of fermions is a profound phenomenon that has become very important in many different areas of physics in the recent past. This book brings together, for the first time, experts from various fields involving Cooper pairing, at the level of BCS theory and beyond, including the study of novel states of matter such as ultracold atomic gases, nuclear systems at the extreme, and quark matter with application to neutron stars. Cross-disciplinary in nature, the book will be of interest to physicists in many different specialties, including condensed matter, nuclear, high-energy, and astrophysics. The emphasis is on novel issues beyond ordinary BCS theory such as pairing in asymmetric systems, the polarization effect, and higher spin pairing. These topics are rarely treated at the textbook level and all of them are the subjects of intensive ongoing research. The book also considers various new techniques widely used in current research that differ significantly from the conventional condensed matter approaches described in the standard literature. Sample Chapter(s). Chapter 1: Color Superconductivity in Dense, but not Asymptotically Dense, Quark Matter (1,976 KB). Contents: Color Superconductivity in Dense, But Not Asymptotically Dense, Quark Matter (M Alford & K Rajagopal); Larkin-Ovchinnikov-Fulde-Ferrell Phases in QCD (G Nardulli); Phase Diagram of Neutral Quark Matter at Moderate Densities (S B Rüster et al.); Spontaneous Nambu-Goldstone Current Generation Driven by Mismatch (M Huang); The CFL Phase and m s : An Effective Field Theory Approach (T Schäfer); Nuclear Superconductivity in Compact Stars: BCS Theory and Beyond (A Sedrakian & J W Clark); Pairing Properties of Dressed Nucleons in Infinite Matter (W H Dickhoff & H Müther); Pairing in Higher Angular Momentum States: Spectrum of Solutions of the 3 P 2 - 3 F 2 Pairing Model (M V
Zverev et al.); Four-Particle Condensates in Nuclear Systems (G Röpke & P Schuck); Realization, Characterization, and Detection of Novel Superfluid Phases with Pairing Between Unbalanced Fermion Species (K Yang); Phase Transition in Unbalanced Fermion Superfluids (H Caldas). Readership: Researchers and graduate students in the areas of condensed matter, nuclear and particle physics.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
Genre:
Electronic Access:
Click to View