Singular or non-Fermi liquids

PhysicsReports361(2002)

267–417

Singularornon-Fermiliquids

C.M.Varmaa;b;1,Z.Nussinovb,WimvanSaarloosb;

a

b

UniversiteitBellLaboratories,Leiden,Instituut-Lorentz,LucentTechnologies,PostbusMurray9506,2300Hill,RANJLeiden,07974,Netherlands

USA

ReceivedJune2001;editor:C:W:J:Beenakker

Contents

3.6.Aspinlessmodel1.Introduction

ndau’sOutline2723.8.Ainteractions

withÿniterange

Multichannelmodelformixed-valenceKondoproblem

impurities2.1.Fermiofthepaperliquid

paper2732.2.EssentialsLandauFermiofLandauFermiliquids2734.3.9.SFLThetwo-Kondo-impuritiesproblemonebehaviorforinteractingfermionsin2.3.Understandingwavefunctionrenormalizationliquidandthe

microscopicallyZwhy

2754.1.dimension

4.2.Theone-dimensionalelectrongas2.4.PrinciplesFermi-liquidtheoryworks2804.3.The4.4.Thermodynamics

Tomonaga–Luttingermodel2.5.derivationofofthemicroscopic

2864.5.One-particlespectralfunctions2904.6.Correlation3.2.6.LocalRoutesModerntoderivations

Landautheorybreakdownof2914.7.TheLuther–Emeryfunctions

model4.8.Spin–chargeSpin–chargeseparation

separationinmorethan

FermiFermiliquidsandlocalLandausingulartheory3.1.2953.2.Theliquids

Fermi-liquidKondoproblem

phenomenologyfor2964.9.oneRecoildimension?

catastropheandtheinoneorthogonality

dimensionand3.3.FerromagneticKondoproblem

the

2994.10.higher

3.4.anisotropicKondoproblemandthe

3004.11.CoupledExperimentalone-dimensionalchains3.5.OrthogonalityKondoX-rayedgesingularities

catastropheproblem3003015.Singulardimensionalgaugeÿelds

Fermi-liquidLuttingerobservationsbehaviorliquidofduebehavior

one-to

E-mailCorrespondingauthor.Tel.:+31-71-5275501;1

Presentaddress:andpermanentsaarloos@address:BellLaboratories,(W.vanfax:Saarloos).+31-71-5275511.LucentTechnologies,MurrayHill,NJ07974,USA.

0370-1573/02/$PII:S0370-1573(01)00060-6

-seefrontmatter

c2002ElsevierScienceB.V.Allrightsreserved.302305306310314315320321322324327328330332335335338