Properties of ground state and anomalous quantum fluctuations in one-dimensional polaron-soliton systems--the effects of electron-two-phonon interaction and non-adiabatic quantum correlations

在线阅读 下载PDF 导出详情
摘要 BasedontheHolsteinmodelHamiltonianofone-dimensionalmolecularcrystals,bymakinguseoftheexpansionapproachofthecorrelatedsqueezed-coherentstatesofphononinsteadofthetwo-phononcoherentstateexpansionscheme,thepropertiesofthegroundstateandtheanomalousquantumfluctuationsareinvestigatedinastronglycoupledelectron-phononsystemwithspecialconsiderationoftheelectron-two-phononinteraction.Theeffectiverenormalization(αi)ofthedisplacementofthesqueezedphononswiththeeffectofthesqueezed-coherentstatesofphononandboththeelectron-displacedphononandthepolaron-squeezedphononcorrelationshavebeencombinedtoobtaintheanomalousquantumfluctuationsforthecorrectionsofthecoherentstate.Duetothesenon-adiabaticcorrelations,theeffectivedisplacementparameterαiislargerthantheordinaryparameterα(0)i.Incomparisonwiththeelectron-one-phononinteraction(g)correctedasαig,wehavefoundtheelectron-two-phononinteraction(g1)correctedasαi2g1isenhancedsignificantly.Forthisreason,thegroundstateenergy(E(2)0)contributedbytheelectron-two-phononinteractionismorenegativethanthesingle-phononcase(E(1)0)andthesolitonsolutionismorestable.Atthesametime,theeffectsoftheelectron-two-phononinteractiongreatlyincreasethepolaronenergyandthequantumfluctuations.Furthermore,inadeeperlevel,wehaveconsideredtheeffectofthepolaron-squeezedphononcorrelation(f-correlation).Sincethiscorrelationparameterf>1,thiseffectwillstrengthentheelectron-oneandtwo-phononinteractionsbyfαigandf2αi2g1,respectively.Thefinalresultsshowthatthegroundstateenergyandthepolaronenergywillappearmorenegativefurtherandthequantumfluctuationswillgainfurtherimprovement.
机构地区 不详
出处 《中国物理B:英文版》 2011年6期
出版日期 2011年06月16日(中国期刊网平台首次上网日期,不代表论文的发表时间)