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Electronic structure of graphene: (Nearly) free electron bands versus tight‐binding bands

机译:石墨烯的电子结构:(几乎)自由电子带与紧密绑定带

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Abstract <section xml:id="pssb201700035-sec-0001"> > In our previous paper [Phys. Rev. B 89 , 165430 (2014)] we have found that in graphene, in distinction to the four occupied bands, which can be described by the simple tight‐binding model (TBM) with four atomic orbitals per atom, the two lowest lying at the <mat:math xmlns:mat="http://www.w3.org/1998/Math/MathML" altimg="urn:x-wiley:15213951:media:pssb201700035:pssb201700035-math-0001" xmlns:wiley="http://www.wiley.com/namespaces/wiley/wiley" wiley:location="equation/pssb201700035-math-0001.png" display="inline"> <mat:mi>Γ</mat:mi> </mat:math> ‐point unoccupied bands (one of them of a <mat:math xmlns:mat="http://www.w3.org/1998/Math/MathML" altimg="urn:x-wiley:15213951:media:pssb201700035:pssb201700035-math-0002" xmlns:wiley="http://www.wiley.com/namespaces/wiley/wiley" wiley:location="equation/pssb201700035-math-0002.png" display="inline"> <mat:mi>σ</mat:mi> </mat:math> type and the other of a <mat:math xmlns:mat="http://www.w3.org/1998/Math/MathML" altimg="urn:x-wiley:15213951:media:pssb201700035:pssb201700035-math-0003" xmlns:wiley="http://www.wiley.com/namespaces/wiley/wiley" wiley:location="equation/pssb201700035-math-0003.png" display="inline"> <mat:mi>π</mat:mi> </mat:math> type) can not be described by such model. In the present work, we suggest a minimalistic model for these two bands, based on (nearly) free electron model (FEM), which correctly describes the symmetry of these bands, their dispersion law and their localization with respect to the graphene plane. </section> </abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译:</span><Abstract XMLNS =“http://www.wiley.com/namespaces/wiley”type =“main”xml:lang =“en” <标题类型=“main”>抽象</ title> <第XML:ID =“PSSB201700035-SEC-0001”> > 在我们之前的论文中[物理。 rev. b. 89 </ b> ,165430(2014)]我们发现,在石墨烯中,与四个占领带的区别,可以通过单个粘合模型(TBM)描述每种原子的四个原子轨道,这两个最低躺在 <mat:math xmlns:mat =“http://www.w3.org/1998/math/mathml”altimg =“urn:x-wiley:15213951:媒体:pssb201700035:pssb201700035-math-0001”xmlns:wiley = “http://www.wiley.com/namespaces/wiley/wiley”wiley:location =“等式/ pssb201700035-math-0001.png”display =“内联”> <MAT:MI>γ</ MAT:MI> </ mat:math> - 点小便乐队(其中一个是一个 <mat:math xmlns:mat =“http://www.w3.org/1998/math/mathml”altimg =“urn:x-wiley:15213951:媒体:pssb201700035:pssb201700035-math-0002”xmlns:wiley = “http://www.wiley.com/namespaces/wiley/wiley”wiley:location =“等式/ pssb201700035-math-0002.png”显示=“内联”> <mat:mi>σ</ mat:mi> </ mat:math> 类型和另一个 <mat:math xmlns:mat =“http://www.w3.org/1998/math/mathml”altimg =“urn:x-wiley:15213951:媒体:pssb201700035:pssb201700035-math-0003”xmlns:wiley = “http://www.wiley.com/namespaces/wiley/wiley”wiley:location =“等式/ pssb201700035-math-0003.png”显示=“内联”> <mat:mi>π</ mat:mi> </ mat:math> 类型)不能通过这种模型来描述。在本作工作中,基于(几乎)自由电子模型(FEM)来说,我们为这两个频段提出了一个简单的模型,该模型(FEM)正确地描述了这些带,它们的分散法和它们相对于石墨烯平面的局部的对称性。 </ p> </部分> </摘要> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-29289/'>《Physica status solidi, B. Basic research》</a> <b style="margin: 0 2px;">|</b><span>2017年第9期</span><b style="margin: 0 2px;">|</b><span>共1页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Kogan E.&option=202" target="_blank" rel="nofollow">Kogan E.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Silkin V. M.&option=202" target="_blank" rel="nofollow">Silkin V. M.;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>Department of Physics Jack and Pearl Resnick InstituteBar‐Ilan UniversityRamat‐Gan 52900 Israel;</p> <p>Donostia International Physics Center (DIPC)Paseo de Manuel Lardizabal 4E‐20018 San Sebastian/Donostia Spain;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/1171.html" title="固体物理学">固体物理学;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=band structure&option=203" rel="nofollow">band structure;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Electronic structure&option=203" rel="nofollow">Electronic structure;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=graphene&option=203" rel="nofollow">graphene;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=group theory&option=203" rel="nofollow">group theory;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=symmetry&option=203" rel="nofollow">symmetry;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=tight binding&option=203" rel="nofollow">tight binding;</a> </p> <div class="translation"> 机译:乐队结构;电子结构;石墨烯;群理论;对称性;紧密绑定; </div> </li> </ul> </div> </div> <div class="literature cardcommon" id="literaturereference" style="display:none"> <div class="similarity "> <h3 class="all_title" id="enpatent111">引文网络</h3> <div class="referencetab clearfix"> <ul id="referencedaohang"> <li dataid="referenceul">参考文献</li> <li dataid="citationul">引证文献</li> <li dataid="commonreferenceul">共引文献</li> <li dataid="commoncitationul">同被引文献</li> <li dataid="tworeferenceul">二级参考文献</li> <li dataid="twocitationul">二级引证文献</li> </ul> </div> <div class="reference_details" id="referenceList"> <ul id="referenceul"></ul> <ul id="citationul"></ul> <ul id="commonreferenceul"></ul> <ul id="commoncitationul"></ul> <ul id="tworeferenceul"></ul> <ul id="twocitationul"></ul> </div> </div> </div> <div class="literature cardcommon"> <div class="similarity "> <h3 class="all_title" id="enpatent66">相似文献</h3> <div class="similaritytab clearfix"> <ul> <li class="active" >外文文献</li> <li >中文文献</li> <li >专利</li> </ul> </div> <div class="similarity_details"> <ul > <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/0704020203658.html">Electronic structure of graphene: (Nearly) free electron bands versus tight‐binding bands</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Kogan E.&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Kogan E.,</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Silkin V. 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tuijian_authcolor">,黄云清</a> <span> <a href="/conference-cn-12076/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 2010年第九届中国国际纳米科技(西安)研讨会 </a> <span> <span> . 2010</span> </span> </div> </li> <li> <div> <b>7. </b><a class="enjiyixqcontent" href="/academic-degree-domestic_mphd_thesis/020314982616.html">表面功能化的石墨烯纳米带的电子结构和光学性质的研究</a> <b>[A] </b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=宋四星&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 宋四星</a> <span> . 2017</span> </span> </div> </li> </ul> <ul style="display: none;"> <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/patent-detail/06120113828069.html">韧性线紧密成方绕线机、紧密绕线卷方扎带机及韧性线紧密绕线成方并扎带方法</a> <b>[P]</b> . <span> 中国专利: CN113830620A </span> <span> . 2021-12-24</span> </div> </li> <li> <div> <b>2. </b><a class="enjiyixqcontent" href="/patent-detail/06120104714604.html">用于带叶片圆盘几乎成形的快速粗加工的方法和装置</a> <b>[P]</b> . <span> 中国专利: CN1511667A </span> <span> . 2004-07-14</span> </div> </li> <li> <div> <b>3. </b><a class="enjiyixqcontent" href="/patent-detail/06130436678588.html">Band-shaped arrangement with a conductor track structure and with it electrically connected electronic components, in particular light band with lighting elements</a> <b>[P]</b> . <span> 外国专利: <!-- 德国专利: --> DE10319525B4 </span> <span> . 2006-08-31</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译:带状结构,具有导体轨道结构并与之电气连接,尤其是带照明元件的电子元件 </span> </p> </li> <li> <div> <b>4. </b><a class="enjiyixqcontent" href="/patent-detail/06130453767382.html">Banding (Banding) notching part (Notching) structure of the electronic component supporting bracket</a> <b>[P]</b> . <span> 外国专利: <!-- 韩国专利: --> KR19980023271U </span> <span> . 1998-07-25</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译:电子部件支撑托架的捆扎(Banding)切口部(Notching)结构 </span> </p> </li> <li> <div> <b>5. </b><a class="enjiyixqcontent" href="/patent-detail/06130424202656.html">Electronic components encapsulation method, involves forming resin layer between welding balls, thinning another resin layer, gluing adhesive band on latter resin layer, and cutting structure into individual electronic chips</a> <b>[P]</b> . <span> 外国专利: <!-- 法国专利: --> FR2953063A1 </span> <span> . 2011-05-27</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译:电子元件的封装方法,包括在焊球之间形成树脂层,使另一树脂层变薄,在其后的树脂层上胶粘带以及将结构切割成单个电子芯片 </span> </p> </li> </ul> </div> </div> </div> <div class="theme cardcommon" style="overflow: auto;display:none"> <h3 class="all_title" id="enpatent55">相关主题</h3> <ul id="subject"> </ul> </div> </div> </div> </div> <div class="right rightcon"> <div 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