"Bosonization and strongly correlated systems"

 every Wednesday, klHS of the PI, 11:15-13:00  


Contents


§0 Introduction

§1 Free fermions in 1D

§2 Free bosonic field in 1D

§3 Bosonization

§4 Tomonaga-Luttinger liquid (TLL)
 
     4.1 Homogeneous systems
     4.2 Inhomogeneous system: a TLL with a local impurity

§5 Spin chains and bulk sine-Gordon (SG) model

     5.1 Bosonization of an XXZ chain
     5.2 RG analysis of the SG model
     5.3 TLL with spin

§6 Finite size effects and conformal symmetry

§7 Non-Abelian bosonization and WZW model


Literature

J.Negele, H.Orland, "Quantum many-particle systems", Westview press 1998
A.M. Tsvelick, "QFT in condensed matter physics", Cambridge 2006
A.Altland, B.Simons, "Condensed matter field theory", Cambridge 2010
A.Gogolin, A.Nersesyan, A.Tsvelick, "Bosonization and strongly correlated systems", Cambridge 1998
G.Mussardo, "Statistical field theory", Cambridge 2010

D.Sénéchal, An introduction to bosonization, arXiv:cond-mat/9908224

J. von Delft, H.Schoeller, Bosonization for beginners - refermionization for experts, arXiv:cond-mat/9805275