半金属体系相互作用效应的重整化群分析

半金属体系相互作用效应的重整化群分析Title: Renormalization Group Analysis of Interactions in Semimetallic SystemsAbstr

半金属体系相互作用效应的重整化群分析 Title:RenormalizationGroupAnalysisofInteractionsin SemimetallicSystems Abstract: Thispaperpresentsacomprehensivestudyofthe renormalizationgroup(RG)analysisoftheinteractioneffectsin semimetallicsystems.Semimetallicmaterialsexhibitunique propertiesresultingfromthecoexistenceofmetallicand insulatingbehavior.Understandingtheinteractioneffectsinsuch systemsiscrucialforunravelingtheirexoticelectronicand transportproperties.TheRGmethodprovidesapowerful frameworkforstudyingthebehaviorofinteractingparticlesin condensedmattersystems.Thispaperaimstoexplorethe potentialoftheRGapproachinelucidatingtheinteractioneffects insemimetallicsystems. 1.Introduction Semimetallicsystemshaveattractedsignificantattentiondue totheirunconventionalelectronicproperties.Thecoexistenceof metallicandinsulatingbehaviorinthesematerialsleadsto intriguingphenomenasuchastopologicalinsulators,Dirac/Weyl semimetals,andquantumcriticality.Theinterplayofinteractions insuchsystemsplaysacrucialroleindeterminingtheirphysical properties.Inthissection,weprovideabriefoverviewof semimetallicsystemsandthemotivationforstudyingtheir interactioneffectsusingtheRGapproach. 2.RenormalizationGroupMethod TheRGmethodisapowerfultoolforstudyingthebehavior ofinteractingparticlesincondensedmattersystems.Itallowsfor theanalysisoftheflowofparametersondifferentlengthscales, providinginsightsintotheemergenceofnewphysicsatdifferent energyscales.ThissectionoutlinesthebasicconceptsoftheRG method,includingtheWilsonianRGapproachandthescaling behaviorofrelevantandirrelevantinteractions. 3.InteractionEffectsinSemimetallicSystems Inthissection,wediscussthespecificinteractioneffectsin semimetallicsystemsthatcanbestudiedusingtheRGmethod.