量子霍尔效应The Quantum Hall Effect.pdfVIP

PreprinttypesetinJHEPstyle-HYPERVERSIONJanuary2016

TheQuantumHallEffect

TIFRInfosysLectures

DavidTong

DepartmentofAppliedMathematicsandTheoreticalPhysics,

CentreforMathematicalSciences,

WilberforceRoad,

Cambridge,CB3OBA,UK

http://www.damtp.cam.ac.uk/user/tong/qhe.html

d.tong@damtp.cam.ac.uk

–1–

RecommendedBooksandResources

TherearesurprisinglyfewdedicatedbooksonthequantumHalleffect.Twoprominent

onesare

•PrangeandGirvin,“TheQuantumHallEffect”

Thisisacollectionofarticlesbymostofthemainplayerscirca1990.Thebasicsare

describedwellbutthere’snothingaboutChern-Simonstheoriesortheimportanceof

theedgemodes.

•J.K.Jain,“CompositeFermions”

Asthetitlesuggests,thisbookfocusesonthecompositefermionapproachasalens

throughwhichtoviewallaspectsofthequantumHalleffect.Ithasmanygood

explanationsbutdoesn’tcoverthemorefieldtheoreticaspectsofthesubject.

Therearealsoanumberofgoodmulti-purposecondensedmattertextbookswhich

containextensivedescriptionsofthequantumHalleffect.Two,inparticular,stand

out:

•EduardoFradkin,FieldTheoriesofCondensedMatterPhysics

•Xiao-GangWen,QuantumFieldTheoryofMany-BodySystems:FromtheOrigin

ofSoundtoanOriginofLightandElectrons

Severalexcellentlecturenotescoveringthevarioustopicsdiscussedintheselec-

turesareavailableontheweb.Linkscanbefoundonthecoursewebpage:

http://www.damtp.cam.ac.uk/user/tong/qhe.html.

Contents

1.TheBasics5

1.1Introduction5

1.2TheClassicalHallEffect