南京大学学报(自然科学版)
南京大學學報(自然科學版)
남경대학학보(자연과학판)
JOURNAL OF NANJING UNIVERSITY(NATURAL SCIENCES)
2014年
1期
14-22
,共9页
石墨烯%线缺陷%valley滤波%波包动力学模拟%KPM方法
石墨烯%線缺陷%valley濾波%波包動力學模擬%KPM方法
석묵희%선결함%valley려파%파포동역학모의%KPM방법
graphene%line defect%valley filter%wave packet dynamics simulation%KPM approach
基于紧束缚近似哈密顿模型,运用波包动力学方法,数值模拟研究了石墨烯电子穿越线缺陷的输运性质和相应的透射率,着重探讨线缺陷对于电子 Valley 赝自旋的滤波特性.模拟结果表明:(1)石墨烯线缺陷对于电子valley赝自旋具有半透性;(2)电子的透射率与入射角度和能量都有关;(3)在某个临界角度θc ,透射率出现峰值,其大小随着能量的增加而增大,而|θc|的绝对值却随能量的增加而减小;(4)当入射角|θ|大于|θc|时,透射率将急剧地降为0.进一步的理论分析指出,这是由于透射率能量关系中的非线性项所造成的.最后,我们的数值模拟结果进一步地证明了石墨烯线缺陷未来作为valley赝自旋滤波器件的实用可能性.
基于緊束縳近似哈密頓模型,運用波包動力學方法,數值模擬研究瞭石墨烯電子穿越線缺陷的輸運性質和相應的透射率,著重探討線缺陷對于電子 Valley 贗自鏇的濾波特性.模擬結果錶明:(1)石墨烯線缺陷對于電子valley贗自鏇具有半透性;(2)電子的透射率與入射角度和能量都有關;(3)在某箇臨界角度θc ,透射率齣現峰值,其大小隨著能量的增加而增大,而|θc|的絕對值卻隨能量的增加而減小;(4)噹入射角|θ|大于|θc|時,透射率將急劇地降為0.進一步的理論分析指齣,這是由于透射率能量關繫中的非線性項所造成的.最後,我們的數值模擬結果進一步地證明瞭石墨烯線缺陷未來作為valley贗自鏇濾波器件的實用可能性.
기우긴속박근사합밀돈모형,운용파포동역학방법,수치모의연구료석묵희전자천월선결함적수운성질화상응적투사솔,착중탐토선결함대우전자 Valley 안자선적려파특성.모의결과표명:(1)석묵희선결함대우전자valley안자선구유반투성;(2)전자적투사솔여입사각도화능량도유관;(3)재모개림계각도θc ,투사솔출현봉치,기대소수착능량적증가이증대,이|θc|적절대치각수능량적증가이감소;(4)당입사각|θ|대우|θc|시,투사솔장급극지강위0.진일보적이론분석지출,저시유우투사솔능량관계중적비선성항소조성적.최후,아문적수치모의결과진일보지증명료석묵희선결함미래작위valley안자선려파기건적실용가능성.
Graphene is a promising nanostructure material used in the field of materials science,electronics and nanotechnology because of its unique geometric structure and amazing physical and chemical properties.In addition to the conventional spatial and spin degrees of freedom,the electrons in graphene have another degree of freedom,called as the valley pseudospin,making it possible to develop the specific valleytronics devices by the graphene,which are very similar to those in the spintronics.However,the pristine graphene is a zero-gap semiconductor,which brings a great difficulty to the control of graphene electron and limits its potential applications in the field of nano-electronic devices.In order to solve this problem,the method to produce some defects in the grapheme is often used.Recently,the topological defects in graphene, such as the grain boundary and line defect,have been observed in experiments,which will have a big effect on its electronic transport properties,e.g.,changing the moving direction of electron wave packet or filtering the electron’s valley degree of freedom.Based upon the tight-binding Hamiltonian and wave packet dynamics,we have used the KPM approach to calculate the evolution operator.The transport properties of graphene electron,passing through the line defect in graphene,have been studied by a real-space simulation,in which more attention is paid to the valley filtering property of the line defect.An electron wave packet,approaching the line defect at its energy E and angle of incidenceθand scattering off it,has been simulated dynamically in the real space.Our obtained results show that:(1 )The graphene line defect is semitransparent for the graphene electron with valley degree of freedom.(2 )The transmission probability depends not only the angle of incidence,but also the electron’s energy.(3 )A peak of transmission probability appears at a critical angle of incidenceθc , whose absolute value|θc|decreases with increasing the electron’s energy,in contrast to the increase of peak value.(4)The transmission probability will drastically decrease to 0 when the absolute value of incidence angle|θ|is greater than|θc|, which is found to be caused by the nonlinear terms in the relation of the transmission probability with electron’s energy,as indicated by further theoretical analysis.Finally,our numerical simulation results further prove the practical applicability of the graphene line defect used as a valley pseudospin filter device in future.