Asamanifestationoftheunderlyingphysicalnature,quailtumoscillationswiththeappliedmagneticfield(B)areoneofthemostimportanttopicsincondensedmatterphysics.Theresearchhistorycanbetrackedto1930whenLevShubnikovandW.J.deHaasobservedShubnikov-deHaas(SdH)oscillationsinthemagnetoresistance(MR)ofbismuthcrystals.Sincethen,researchershaveobservedquantumoscillationsinpersematerials,includingmetals,metalliccompounds,semimetals,semiconductorsandeveninsulators,aswellasinartificialmesoscopicmicrostructures.Nowadays,quantumoscillationdetectedbymagnetotransportinvestigationhasbeenapowerfultooltodetectthephysicalpropertiesinsolid-statesystems.
