Atjaunināt sīkdatņu piekrišanu

Electronic Transport Theories: From Weakly to Strongly Correlated Materials [Hardback]

(Physical Research Laboratory, Ahmedabad, Gujarat, India)
  • Formāts: Hardback, 213 pages, height x width: 234x156 mm, weight: 453 g, 3 Tables, black and white; 38 Illustrations, black and white
  • Izdošanas datums: 26-Oct-2016
  • Izdevniecība: CRC Press Inc
  • ISBN-10: 1498743595
  • ISBN-13: 9781498743594
Citas grāmatas par šo tēmu:
  • Hardback
  • Cena: 197,77 €
  • Grāmatu piegādes laiks ir 3-4 nedēļas, ja grāmata ir uz vietas izdevniecības noliktavā. Ja izdevējam nepieciešams publicēt jaunu tirāžu, grāmatas piegāde var aizkavēties.
  • Daudzums:
  • Ielikt grozā
  • Piegādes laiks - 4-6 nedēļas
  • Pievienot vēlmju sarakstam
  • Bibliotēkām
Electronic Transport Theories: From Weakly to Strongly Correlated MaterialsPalielināt
  • Formāts: Hardback, 213 pages, height x width: 234x156 mm, weight: 453 g, 3 Tables, black and white; 38 Illustrations, black and white
  • Izdošanas datums: 26-Oct-2016
  • Izdevniecība: CRC Press Inc
  • ISBN-10: 1498743595
  • ISBN-13: 9781498743594
Citas grāmatas par šo tēmu:
Permanent link: https://www.kriso.lv/db/9781498743594.html
Keywords:
"The issue of transport in strongly correlated materials is of current interest. This book presents a concise and pedagogical introduction to a wide range of topics in electronic transport. There are plenty of books that cover the traditional theories (Boltzamnn transport equation and Kubo formula) however, there is no such book that covers the traditional theories along with the recent theories of transport in strongly correlated materials. Being useful to both graduates and researchers, this book dealswith the challenging problems in this area"--

The issue of transport in strongly correlated materials is of current interest. This book presents a concise and pedagogical introduction to a wide range of topics in electronic transport. There are plenty of books that cover the traditional theories (Boltzamnn transport equation and Kubo formula) however, there is no such book that covers the traditional theories along with the recent theories of transport in strongly correlated materials. Being useful to both graduates and researchers, this book deals with the challenging problems in this area.

Foreword xi
Preface xiii
List of Figures
xxi
List of Tables
xxv
1 Introduction and objective of the study
1(36)
1.1 From Drude-Lorentz to Sommerfeld-Bloch and from Bloch-Peierls to Kubo-Holstein: A historical introduction
1(15)
1.2 Optical absorptivity and reflectivity: brief experimental back-ground
16(5)
1.3 The Drude model at finite frequencies for simple metals
21(4)
1.4 The Lorentz model for simple insulators
25(4)
1.5 Brief discussion of the optical properties of real metals and real insulators
29(5)
1.5.1 Real metals
29(3)
1.5.2 Real insulators
32(2)
1.6 Summary points
34(3)
Bibliography
34(3)
2 The traditional Boltzmann equation based approaches
37(34)
2.1 Semiclassical model of electron dynamics
38(4)
2.2 Chambers' method for Boltzmann kinetic equation (relaxation time approximation)
42(7)
2.2.1 Obtaining Drude's formula for conductivity from the Boltzmann equation
46(1)
2.2.1.1 DC transport
46(2)
2.2.1.2 AC transport
48(1)
2.3 Beyond the relaxation time approximation (full Boltzmann equation)
49(5)
2.3.1 Physical assumptions for RTA
51(1)
2.3.2 Elastic scattering in an isotropic medium
52(2)
2.4 The Bloch-Boltzmann transport theory
54(15)
2.4.1 The Gruneisen formula
66(3)
2.5 Summary points
69(2)
Bibliography
70(1)
3 Some techniques from nonequilibrium statistical mechanics
71(40)
3.1 Nyquist's thermodynamical arguments and Callen-Welton's fluctuation-dissipation theorem
73(9)
3.2 Kubo's formalism
82(12)
3.2.0.1 Kubo's formula for conductivity
85(2)
3.2.1 Derivation of Drude's formula of conductivity from Kubo's formula
87(1)
3.2.2 Fluctuation-Dissipation Theorem (FDT) from Kubo's formalism
88(6)
3.3 The Drude formula from the Einstein relation
94(4)
3.4 The Drude formula from the Langevin equation
98(3)
3.5 Problem of the Langevin equation
101(1)
3.6 The generalized Langevin equation and the memory function (time dependent friction coefficient)
102(3)
3.7 When can one use the exponential decay of the velocity-velocity correlation function?
105(3)
3.8 Summary points
108(3)
Bibliography
109(2)
4 The Zwanzig-Mori-Gotze-Wolfle memory function formalism
111(24)
4.1 The Zwanzig-Mori memory function (MF) formalism
112(4)
4.2 The Gotze-Wolfle (GW) formalism
116(16)
4.2.1 The Gotze-Wolfle (GW) approximation for the memory function
118(2)
4.2.2 Impurity scattering
120(5)
4.2.3 Phonon scattering
125(4)
4.2.3.1 DC case
129(1)
4.2.3.2 AC case
130(2)
4.3 Summary points
132(3)
Bibliography
133(2)
5 The Kohn-Luttinger theory: Quantum mechanical basis of the Bloch-Boltzmann equation
135(16)
5.1 The assumptions in the traditional kinetic equations
136(1)
5.2 The problems with the assumptions
137(1)
5.3 The model and assumptions
138(1)
5.4 The formalism
139(10)
5.4.1 Ensemble average over the impurities
146(3)
5.5 Why and how are the traditional kinetic theories justified?
149(1)
5.6 Summary points
150(1)
Bibliography
150(1)
6 Strange metals: A survey
151(38)
6.1 General introduction to the problem
151(2)
6.2 A Survey of the Experimental Situation
153(18)
6.2.1 What are strange metals?
153(2)
6.2.2 Anomalous behavior of DC resistivity
155(1)
6.2.2.1 ab-plane transport
155(1)
6.2.2.2 Optimally doped cuprates
155(5)
6.2.2.3 Underdoped cuprates
160(3)
6.2.2.4 Overdoped cuprates
163(1)
6.2.2.5 c-axis transport
163(1)
6.2.3 Anomalous behavior of AC conductivity
164(1)
6.2.3.1 ab-plane transport
164(1)
6.2.3.2 Optimally doped cuprates
164(3)
6.2.3.3 Underdoped cuprates
167(3)
6.2.3.4 Overdoped cuprates
170(1)
6.2.3.5 c-axis transport
170(1)
6.3 A Survey of the Theoretical Situation
171(18)
6.3.1 The marginal Fermi liquid theory
174(4)
6.3.2 The hidden Fermi liquid theory
178(5)
6.3.3 A Brief Discussion of Other Approaches
183(3)
Bibliography
186(3)
7 Electronic transport theories from simple to strange metals: A summary
189(12)
Bibliography
198(3)
8 Supporting material and practice exercises
201(10)
8.1 Appendix A: Proving ƒ*μν(ω) = ƒνμ(ω)
201(1)
8.2 Appendix B: Computing >(|H'kk'|2)2<imp
202(1)
8.3 Appendix C: The concept of quasiparticles
203(3)
8.4 Practice exercises
206(5)
Index 211
Navinder Singh is a faculty member of the Physical Research Laboratory, Ahmedabad. He received a B.E. in electronics, and henceforth shifted to the field of theoretical physics. He obtained his Ph.D. in theoretical condensed matter physics from the Raman Research Institute, Bangalore, from 2000-2006. He then obtained his post doctoral training from IOP Bhubaneswar; Holon Institute of Technology, Holon, Israel; and the University of Toronto, Canada. His research interests include electronic transport in strongly correlated systems like strange metals, and the theory of (un)conventional superconductivity.