Chiral Tunneling and the Klein Paradox in Graphene MI 手性隧道和石墨烯中的MI克莱因悖论.pptVIP

下载本文档

15
0
约9.84千字
约 19页
2017-09-03 发布于江西
举报
版权申诉

Chiral Tunneling and the Klein Paradox in Graphene MI 手性隧道和石墨烯中的MI克莱因悖论.ppt

1、有哪些信誉好的足球投注网站（book118）网站文档一经付费（服务费），不意味着购买了该文档的版权，仅供个人/单位学习、研究之用，不得用于商业用途，未经授权，严禁复制、发行、汇编、翻译或者网络传播等，侵权必究。。
2、本站所有内容均由合作方或网友上传，本站不对文档的完整性、权威性及其观点立场正确性做任何保证或承诺！文档内容仅供研究参考，付费前请自行鉴别。如您付费，意味着您自己接受本站规则且自行承担风险，本站不退款、不进行额外附加服务；查看《如何避免下载的几个坑》。如果您已付费下载过本站文档，您可以点击这里二次下载。
3、如文档侵犯商业秘密、侵犯著作权、侵犯人身权等，请点击“版权申诉”（推荐），也可以打举报电话：400-050-0827(电话支持时间：9:00-18:30)。
4、该文档为VIP文档，如果想要下载，成为VIP会员后，下载免费。
5、成为VIP后，下载本文档将扣除1次下载权益。下载后，不支持退款、换文档。如有疑问请联系我们。
6、成为VIP后，您将拥有八大权益，权益包括：VIP文档下载权益、阅读免打扰、文档格式转换、高级专利检索、专属身份标志、高级客服、多端互通、版权登记。
7、VIP文档为合作方或网友上传，每下载1次，网站将根据用户上传文档的质量评分、类型等，对文档贡献者给予高额补贴、流量扶持。如果你也想贡献VIP文档。上传文档

Chiral Tunneling and the Klein Paradox in Graphene MI 手性隧道和石墨烯中的MI克莱因悖论

Observed and theoretical phase shifts Summary Katsnelson et al. Klein tunneling possible in graphene due to required conservation of pseudospin Single layer graphene has T = 1 at normal incidence by electron wave coupling to hole wave Bilayer graphene has T = 0 at normal incidence by electron coupling to evanescent hole wave Suggests resistance measurements to observe Summary Young et al. Resistance measurements no good – need phase information Observe phase shift in conductance to find T = 1 Additional References Calogeracos, A. and Dombey, N. History and Physics of the Klein paradox. Contemporary Physics 40,313-321 (1999) Slonczewski, J.C. and Weiss, P.R. Band Structure of Graphite. Phys. Rev. Lett. 109, 272 (1958). Semenoff, Gordon. Condensed-Matter Simulation of a Three-Dimensional Anomaly. Phys. Rev. Lett. 53, 2449 (1984). Haldane, F.D.M. Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of a “Parity Anomaly”. Phys. Rev. Lett. 2015 (1988). Novselov, K.S. et al. Unconventional quantum Hall effect and Berry’s phase of 2π in bilayer graphene. Nature Physics 2, 177 (2006) McCann, E. and Fal’ko, V. Landau Level Degeneracy and Quantum Hall Effect in a Graphite Bilayer. Phys. Rev. Lett. 96, 086805 (2006) Sakurai, J.J. Advanced Quantum Mechanics. Addison-Wesley Publishing Company, Inc. Redwood City, CA. 1984. Chiral Tunneling and the Klein Paradox in GrapheneM.I. Katsnelson, K.S. Novoselov, and A.K. GeimNature Physics Volume 2 September 2006 John Watson Outline Background, main result Details of paper Authors’ proposed future work Reported experimental observations Summary Background Klein paradox implied by Dirac’s relativistic quantum mechanics Consider potential step on right Relativistic QM gives V x Don’t get non-relativistic exponential decay Calogeracos, A.; Dombey, N.. Contemporary Physics, Sep/Oct99, Vol. 40 Issue 5 Main result Graphene can be used to study relativistic QM with physically realizable exper