二维材料平带的实现及其新奇量子物态

在二维材料平带中电子的有效质量急剧增大,电子的库仑排斥能将远远大于电子的动能,电子-电子相互作用效应显著,对应地将会产生一系列新奇的强关联量子物态,如量子霍尔铁磁态、分数量子霍尔效应、量子反常霍尔效应、超导态、Wigner晶体等.因此人们对于二维材料中的平带产生了极大的兴趣.近几年,与平带相关的强关联物性研究成为了凝聚态物理领域的前沿课题.实验上发展了多种方法,例如通过外加强磁场、构筑应变结构、引入转角等方式在二维材料中引入平带.本文通过对二维体系中平带的实现方法及其带来的新奇物理现象进行回顾,希望为相关领域的研究人员提供参考和借鉴.     

凝聚态物理学的新篇章——超越朗道范式的拓扑量子物态

在凝聚态物理学发展历程中,朗道—金兹堡相变理论奠定了人们对物质形态和有序相及其相变的认识基础,在结合了威尔逊重正化群理论后,形成了朗道—金兹堡—威尔逊范式,并成为整个现代物理学宏伟大厦的重要基石。然而,在复杂电子多体系统的实验研究中,以量子霍尔效应、分数量子霍尔效应和铜氧化物高温超导体的实验发现为代表,涌现了众多超越朗道—金兹堡—威尔逊范式的新奇量子物态,掀开了凝聚态物理学的新篇章。文章从量子霍尔效应出发,介绍了二维电子体系中的几种典型拓扑量子物态。之后,重点介绍二维强关联电子多体系统中的内禀拓扑有序态。围绕Kitaev提出的二维Toric Code量子自旋模型,详细论证了该模型的基态为具有Z2内禀拓扑序的量子自旋液体,讨论了其基态的拓扑简并、低能任意子激发,以及相关的拓扑量子相变。同时,简要介绍了内禀拓扑有序态的最新研究进展和可能的未来发展方向。     

量子点接触中有关电导0.7结构的研究

研究了由鞍形势描述的量子点接触中的电子输运性质,利用Hartree-Fock近似与低维纳米器件中Thomas-Fermi近似方法处理了电子-电子之间的相互作用,采用格点格林函数方法计算了零温下体系的电导、电子的自旋积累以及散粒噪声,重现了0.7结构这个反常的实验现象.计算结果加深了我们关于半导体纳米器件中的强关联互作用对自旋输运影响的理解.     

微管壁上量子信息的传递

微管管壁上的原丝纤维可以描述成各项异性的二维赝自旋模型,其最小重复单元是三角形状的。在这个模型中存在三种不同的“自旋-自旋”相互作用。而每一维上的自由电子可以看作是赝自旋模型。那么,微管壁上的量子信息传递就可以用Lylod提出的激光控制量子计算的模型来解释。Microtubule （MT） is described as an anisotropic two-dimensional pseudo-spin model on a triangular lattice, in which there are three different ＂spin-spin＂ interactions. The mobile electron in each lattice site is described based on the pseudo-spin model. Then, the processing of quantum information in the MT wall is presented by virtue of the scheme of driving quantum computer in sequence of laser pulse developed by Lloyd.     

耦合电磁场对石墨烯量子磁振荡的影响

我们研究了包含自旋轨道耦合与杂质散射在内的石墨烯量子磁振荡对外加电磁场的响应.我们发现,石墨烯中自旋轨道耦合、电磁场以及边界共同修正了朗道能谱,且当电场与磁场比值超过某一临界值时,量子磁振荡会突然消失,这与非相对论二维电子气的情况显著不同.这种现象可以通过朗道量子化轨道由封闭转化为开放的半经典理论来解释.此外,我们还发现杂质散射和温度的共同作用会使得磁振荡振幅衰减.我们的结果可用于分析石墨烯及其类似结构(硅烯、锗烯、锡烯等)的费米能级与朗道能谱的相互作用,进而探测自旋轨道耦合引起的能隙.     

正多边形量子环自旋输运的严格解

研究了存在Rashba自旋轨道相互作用的正多边形量子环的自旋输运特性．采用量子网络的典型方法和Landauer-Büttiker电导公式,严格求解了电子通过正多边形量子环的散射问题,并得到了电导的解析表达式．通过数值计算和解析分析,进一步研究了量子环电导随电子波矢和自旋轨道相互作用强度变化的复杂形式,包括源于自旋轨道耦合相互作用的电导零点系列．特别地,还研究了正多边形环的边数趋近于无穷的极限情形,与直接采用圆环模型获得的结果完全一致． 关键词： Rashba自旋-轨道相互作用 量子网络 量子输运     

二维电介质光子晶体中量子自旋与谷霍尔效应共存的研究

基于量子自旋霍尔或谷霍尔效应的拓扑光子结构具有对缺陷免疫和抑制背向散射的特性,对设计新型低损耗的光子器件起到了关键作用.本文巧妙设计了一种具有时间反演对称性的二维电介质光子晶体,实现了量子自旋霍尔效应和量子谷霍尔效应的共存.首先基于蜂巢结构排布的硅柱经过收缩扩张,打开了布里渊区Γ点的四重简并点形成拓扑平庸或非平庸的光子带隙,实现量子自旋霍尔效应.经过扩张后的蜂巢晶格演化成为Kagome结构,之后在Kagome晶格中加入正负扰动,打破光子晶体的空间反演对称性,导致布里渊区的非等价谷K和K′的简并点打开并出现完整带隙,实现了量子谷霍尔效应.数值计算结果表明,由拓扑平庸与非平庸、正扰动与负扰动的光子晶体组成的界面上可实现单向传输且对弯曲免疫的拓扑边缘态.最后,设计了基于两种效应共存的四通道系统,此系统为光学编码与稳健信号传输提供潜在方法,为电磁波的操纵提供了更大的灵活性.     

石墨烯莫尔超晶格

石墨烯莫尔超晶格来源于六方氮化硼衬底对石墨烯的二维周期势调控. 由于这种外加的周期势对石墨烯能带具有显著的调制作用, 近年来引发了人们广泛的关注. 利用氮化硼衬底上外延的单晶石墨烯薄膜, 我们系统研究了基底调制下的莫尔超晶格以及相关的物理特性. 首先, 我们在电子端和空穴端都观测到了超晶格狄拉克点, 并且超晶格狄拉克点同本征狄拉克点类似, 都表现出绝缘体的特性. 在低温强磁场下, 可以观测到到单层石墨烯和双层石墨烯的量子霍尔效应. 并且, 从朗道扇形图中, 可以清晰的看到磁场下形成的超晶格朗道能级. 此外, 利用红外光谱的方法研究了强磁场下石墨烯超晶格体系不同朗道能级之间的跃迁, 发现这种跃迁满足有质量狄拉克费米子的行为, 对应38 meV的本征能隙. 在此基础上, 我们在380 meV位置发现一个同超晶格能量对应的光电导峰. 通过利用旋量势中三个不同的势分量对光电导峰进行拟合, 发现赝自旋杂化势起主导作用. 进一步研究表明赝自旋杂化势强度随载流子浓度的增大显著降低, 表明电子-电子相互作用引起的旋量势的重构.     

光子石墨烯中赝磁场作用下的谷霍尔效应

将石墨烯中赝磁场的产生机理运用于光子石墨烯,通过在光子石墨烯中引入晶格有规律单轴形变的方式,理论分析得到了谷依赖的均匀赝磁场,并通过数值模拟的方法观察到明显的谷霍尔效应.这种谷霍尔效应的显著程度随晶格形变度的增加而加强.在具有一定损耗的电介质材料构成的形变光子石墨烯中仍可观察到明显的谷霍尔效应.随着电介质材料损耗的增加,谷霍尔效应导致的波束转弯效果依然能够保持,只是强度逐渐变弱.类似于自旋电子学中的自旋霍尔效应,这种光子石墨烯中等效赝磁场作用下的谷霍尔效应在未来谷极化器件的设计和应用中具有重要意义.     

石墨烯纳米带量子点中的量子混沌现象

在20 mK的极低温下测量了石墨烯纳米带量子点的电子输运性质,观测到清晰的库仑阻塞菱形块和对应量子点激发态的电导峰.对库仑阻塞近邻电导峰间距和峰值进行了统计分析,发现其统计分布分别满足无规矩阵理论描述的Wigner-Dyson分布和Porter-Thomas分布,说明石墨烯纳米带量子点在低温下出现了量子混沌现象.还讨论了这种长方形量子点中量子混沌的可能成因. 关键词： 石墨烯纳米带 量子点 库仑阻塞 量子混沌     

Quantum Superdense Coding Based on Coherent States in Cavity QED

A physical scheme for the implementation of quantum superdense coding has been proposed in Cavity QED. The detuned interaction between Λ-type three-level atoms and coherent fields constitute the main superdense coding process. The quantum superdense coding can be realized in an easier way, and the atoms are not excited during the whole process, so the effect of atomic decay is eliminated naturally.     

Constructing Four-Photon States for Quantum Communication and Information Processing

We provide a method for constructing a set of four-photon states suitable for quantum communication applications. Among these states is a set of concatenated quantum code states that span a decoherence-free subspace that is robust under collective-local as well as global dephasing noise. This method requires only the use of spontaneous parametric down-conversion, quantum state post-selection, and linear optics. In particular, we show how this method can be used to produce all sixteen elements of the second-order Bell gem , which includes these codes states and is an orthonormal basis for the Hilbert space of four qubits composed entirely of states that are fully entangled under the four-tangle measure.     

石墨烯中的Berry几何相

用量子绝热定理推导石墨烯中的Berry几何相,结果发现,由于石墨烯特有的基态能级特性,使其出现了π的几何相,这是引起反常量子霍尔效应最根本的原因。     

Intersubband optical absorptions of a two-electron quantum ring

In this Letter, the optical properties of a quantum ring with two electrons are studied. Its effective-mass Hamiltonian matrix was diagonalized with numerical methods, followed by the calculations of a number of optical quantities. We have found that the intersubband optical absorptions strongly depends on the ring radius, electron-electron interaction, and the incident optical intensity. We also found that the spin-singlet states are more sensitive to ring radius than the spin-triplet states.     

Quantum Logic Gates and Cluster States with Four-level Atoms in Cavity QED

We propose a model to implement the two-qubit quantum logic gates, i.e., the quantum phase gate and the Controlled-NOT gate, and generate the atomic qubits cluster states with a large detuned interaction between four-level atoms and a single-mode cavity field. In the presented protocol, the quantum information is encoded on the stable ground states of the atoms, and the effect of decoherence from atomic spontaneous emission is negligible. In addition, the interaction between atoms and the cavity is large detuned, and the cavity is only virtually excited. Therefore, the scheme is insensitive to the cavity decay. The experimental feasibility of our proposal is also discussed.     

Quantum Macrostatistical Picture of Nonequilibrium Steady States

We apply our quantum macrostatistical treatment of irreversible processes to prove that, in nonequilibrium steady states, (a) the hydrodynamical observables execute a generalised Onsager–Machlup process and (b) the spatial correlations of these observables are generically of long range. The key assumptions behind these results are a nonequilibrium version of Onsager regression hypothesis, together with certain hypotheses of chaoticity and local equilibrium for hydrodynamical fluctuations.     

陆地量子移动通信最优纠缠多址中继方案

为了解决EPR纠缠通过大气空间在通信终端之间的分发问题,使量子移动用户之间及时建立纠缠,提出了一种新的陆地量子移动通信网络的量子纠缠多址中继方案和分区服务模型.分析比较了基于量子受控非门和极化分束器的两种纠缠纯化方法.结果表明:即使在量子移动终端之间没有共享EPR纠缠对的情况下,通过纠缠纯化和量子多址中继,仍然可以完成量子态的无线传输,并且其传输时延与所经过的链路距离和基站数目无关|因此,从数据传输时延的观点来看,该方案是最优的.本研究对于构建大规模量子移动通信网具有一定的奠基作用.     

Transport properties of quantum dots

Linear and nonlinear transport through a quantum dot that is weakly coupled to ideal quantum leads is investigated in the parameter regime where charging and geometrical quantization effects coexist. The exact eigenstates and spins of a finite number of correlated electrons confined within the dot are combined with a rate equation. The current is calculated in the regime of sequential tunneling. The analytic solution for an Anderson impurity is given. The phenomenological charging model is compared with the quantum mechanical model for interacting electrons. The current-voltage characteristics show Coulomb blockade. The excited states lead to additional fine-structure in the current voltage characteristics. Asymmetry in the coupling between the quantum dot and the leads causes asymmetry in the conductance peaks which is reversed with the bias voltage. The spin selection rules can cause a ‘spin blockade’ which decreases the current when certain excited states become involved in the transport. In two-dimensional dots, peaks in the linear conductance can be suppressed at low temperatures, when the total spins of the corresponding ground states differ by more than 1/2. In a magnetic field, an electron number parity effect due to the different spins of the many-electron ground states is predicted in addition to the vanishing of the spin blockade effect. All of the predicted features are consistent with recent experiments.     

Angle-resolved photoemission spectroscopy studies of electron-electron interactions in graphene

Graphene is an emergent research topic that has attracted a huge amount of research interest ever since its experimental demonstration as a two-dimensional realization of Dirac fermions in 2005. In subsequent years, the research on graphene has rapidly expanded its field not only due to the new paradigm to study relativistic high energy physics in a condensed matter, but also due to its potential in the application for next generation devices. Most of the novel phenomena observed so far in graphene are attributed to its low-energy excitations, which is described by those of relativistic Dirac fermions. This article reviews recent progress in angle-resolved photoemission spectroscopy studies of electron-electron interactions in graphene.