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Further understanding the interaction between dark energy and dark matter: current status and future directions. 进一步了解暗能量与暗物质之间的相互作用:现状与未来方向。
Pub Date : 2024-02-23 DOI: 10.1088/1361-6633/ad2527
B Wang, E Abdalla, F Atrio-Barandela, D Pavón

The interaction between dark matter and dark energy (DE) can be incorporated into field theory models of DE that have proved successful in alleviating the coincidence problem. We review recent advances in this field, including new models and constraints from different astronomical data sets. We show that interactions are allowed by observations and can reduce the current tensions among different measurements of cosmological parameters. We extend our discussion to include constraints from non-linear effects and results from cosmological simulations. Finally, we discuss forthcoming multi-messenger data from current and future observational facilities that will help to improve our understanding of the interactions within the dark sector.

暗物质和暗能量之间的相互作用可以被纳入暗能量场论模型,这些模型已被证明成功地缓解了巧合问题。我们回顾了这一领域的最新进展,包括新模型和来自不同天文数据集的约束。我们表明,观测结果允许相互作用,并能缓解当前不同宇宙学参数测量之间的紧张关系。我们将讨论范围扩大到非线性效应的约束和宇宙逻辑模拟的结果。最后,我们讨论了即将从当前和未来的观测设施中获得的多信使数据,这些数据将有助于提高我们对暗区内部相互作用的理解。
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引用次数: 0
When physics meets chemistry at the dynamic glass transition. 当物理与化学在动态玻璃转化过程中相遇。
Pub Date : 2024-02-21 DOI: 10.1088/1361-6633/ad2b9c
Haibao Lu

Can the laws of physics be unified? One of the most puzzling challenges is to reconcile physics and chemistry, where molecular physics meets condensed-matter physics, resulting from the dynamic fluctuation and scaling effect of glassy matter at the glass transition temperature. The pioneer of condensed-matter physics, Nobel Prize-winning physicist Philip Warren Anderson referred to this gap as the deepest and most interesting unsolved problem in condensed-matter physics in 1995. In 2005, Science, in its 125th anniversary publication, highlighted that the question of "what is the nature of glassy state?" was one of the greatest scientific conundrums for the next quarter century. However, the nature of the glassy state and its connection to the glass transition have not been fully understood owing to the interdisciplinary complexity of physics and chemistry, governed by physical laws at the condensed-matter and molecular scales, respectively. Therefore, the study of glass transition is essential to explore the working principles of the scaling effects and dynamic fluctuations in glassy matter and to further reconcile the interdisciplinary complexity of physics and chemistry. Initially, this paper proposes a thermodynamic order-to-disorder free-energy equation for microphase separation to formulate the dynamic equilibria and fluctuations, which originate from the interplay of the phase and microphase separations during glass transition. Secondly, the Adam-Gibbs (AG) domain model is employed to explore the cooperative dynamics and molecular entanglement in glassy matter. It relies on the concept of transition probability in pairing, where each domain contains e+1 segments, in which approximately 3.718 segments cooperatively relax in a domain at the glass transition temperature. This model enables the theoretical modelling and validation of a previously unverified statement, suggesting that 50 to 100 individual monomers would relax synchronously at glass transition temperature.

物理定律可以统一吗?最令人费解的挑战之一是如何协调物理学和化学,即分子物理学与凝聚态物理学的关系,这是由玻璃态物质在玻璃转变温度下的动态波动和缩放效应所导致的。1995 年,凝聚态物理学的先驱、诺贝尔物理学奖获得者菲利普-沃伦-安德森将这一差距称为凝聚态物理学中最深奥、最有趣的未决问题。2005 年,《科学》在其 125 周年纪念刊物中强调,"玻璃态的本质是什么?然而,由于物理学和化学分别受凝聚态和分子态物理定律的制约,具有跨学科的复杂性,玻璃态的本质及其与玻璃化转变的联系尚未被完全理解。因此,玻璃态转变的研究对于探索玻璃态物质的缩放效应和动态波动的工作原理,以及进一步协调物理学和化学的跨学科复杂性至关重要。首先,本文提出了微相分离的热力学有序-无序自由能方程,以阐述玻璃化转变过程中相分离和微相分离相互作用产生的动态平衡和波动。其次,采用亚当-吉布斯(Adam-Gibbs,AG)域模型来探索玻璃态物质中的协同动力学和分子纠缠。该模型依赖于配对过渡概率的概念,其中每个畴包含 e+1 个区段,在玻璃化转变温度下,约有 3.718 个区段在一个畴中协同松弛。该模型能够对以前未验证的说法进行理论建模和验证,即 50 到 100 个单体在玻璃化温度下会同步松弛。
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引用次数: 0
Pseudo-fermion functional renormalization group for spin models. 自旋模型的伪费米子函数重正化群
Pub Date : 2024-02-15 DOI: 10.1088/1361-6633/ad208c
Tobias Müller, Dominik Kiese, Nils Niggemann, Björn Sbierski, Johannes Reuther, Simon Trebst, Ronny Thomale, Yasir Iqbal

For decades, frustrated quantum magnets have been a seed for scientific progress and innovation in condensed matter. As much as the numerical tools for low-dimensional quantum magnetism have thrived and improved in recent years due to breakthroughs inspired by quantum information and quantum computation, higher-dimensional quantum magnetism can be considered as the final frontier, where strong quantum entanglement, multiple ordering channels, and manifold ways of paramagnetism culminate. At the same time, efforts in crystal synthesis have induced a significant increase in the number of tangible frustrated magnets which are generically three-dimensional in nature, creating an urgent need for quantitative theoretical modeling. We review the pseudo-fermion (PF) and pseudo-Majorana (PM) functional renormalization group (FRG) and their specific ability to address higher-dimensional frustrated quantum magnetism. First developed more than a decade ago, the PFFRG interprets a Heisenberg model Hamiltonian in terms of Abrikosov pseudofermions, which is then treated in a diagrammatic resummation scheme formulated as a renormalization group flow ofm-particle pseudofermion vertices. The article reviews the state of the art of PFFRG and PMFRG and discusses their application to exemplary domains of frustrated magnetism, but most importantly, it makes the algorithmic and implementation details of these methods accessible to everyone. By thus lowering the entry barrier to their application, we hope that this review will contribute towards establishing PFFRG and PMFRG as the numerical methods for addressing frustrated quantum magnetism in higher spatial dimensions.

几十年来,受挫量子磁体一直是凝聚态科学进步和创新的种子。近年来,在量子信息和量子计算的启发下,低维量子磁学的数值工具得到了蓬勃发展和改进,而高维量子磁学可以说是最后的前沿领域,强量子纠缠、多有序通道和多种方式的准磁性在这里达到了顶峰。与此同时,在晶体合成方面的努力促使一般具有三维性质的有形受挫磁体数量大幅增加,从而产生了对定量理论建模的迫切需求。我们回顾了伪费米子(PF)和伪马约拉纳(PM)泛函重正化群(FRG)及其处理高维受挫量子磁性的特殊能力。PFFRG 是十多年前首次提出的,它以阿布里科索夫伪费米子解释海森堡模型的哈密顿,然后以图解重归并方案处理,表述为 m 粒子伪费米子顶点的重正化群流。文章回顾了 PFFRG 和 PMFRG 的研究现状,并讨论了它们在受挫磁性示例领域的应用,但最重要的是,它让每个人都能了解这些方法的算法和实现细节。通过降低这些方法的应用门槛,我们希望这篇综述将有助于把 PFFRG 和 PMFRG 确立为解决更高空间维度受挫量子磁性的数值方法。
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引用次数: 0
From caged compounds with isolated U atoms to frustrated magnets with 2- or 3-atom clusters: a review of Al-rich uranium aluminides with transition metals. 从具有孤立铀原子的笼状化合物到具有 2 或 3 原子团簇的受挫磁体:富铝铀铝化物与过渡金属的综述。
Pub Date : 2024-02-06 DOI: 10.1088/1361-6633/ad218d
Mathieu Pasturel, Adam Pikul

Crystal structures and physical properties of four families of Al-rich ternary uranium compounds with transition metals (TE) are reviewed, namely UTE2Al20, UTE2Al10, U6TE4Al43, and U3TE4Al12. The compounds can be described as consisting of 1 (isolated), 2 (dumbbells) or 3 (triangles) uranium atom clusters, surrounded (1-2-20, 1-2-10 and 6-4-43) or not (3-4-12) by large cages, which strongly influence their magnetic and related properties. Indeed, the ground states of the described systems evolve from Curie-like paramagnetism in the case of the phases with well-isolated, single U-atoms, to complex magnetic order or possible frustrated magnetism in the case of the systems with uranium triangles forming a breathing kagome lattice. We argue that the four families of uranium aluminides described in this review provide a unique opportunity to study magnetic interactions between U magnetic moments while gradually increasing the number of their nearest magnetic neighbors, and may also be helpful in understanding the fundamental origin of magnetic freezing phenomena.

本文综述了四个富铝三元铀化合物家族的晶体结构和物理性质,它们分别是 UTE2Al20、UTE2Al10、UTE4Al43 和 U3TE4Al12。这些化合物可被描述为由 1 个(孤立的)、2 个(哑铃状的)或 3 个(三角形的)铀原子簇组成,这些原子簇(1-2-20、1-2-10 和 6-4-43)或没有(3-4-12)被大笼包围,这对它们的磁性和相关性质有很大影响。事实上,所述系统的基态从具有良好隔离的单个铀原子的居里样顺磁性,发展到具有铀三角形构成呼吸式卡戈米晶格的系统的复杂磁序或可能的挫折磁性。我们认为,本综述中描述的四个铀铝化物家族为研究铀磁矩之间的磁相互作用提供了一个独特的机会,同时逐渐增加其最近磁邻的数量,这也可能有助于理解磁冻结现象的基本起源。
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引用次数: 0
Molecular nanomagnets: a viable path toward quantum information processing? 分子纳米磁体:通向量子信息处理的可行之路?
Pub Date : 2024-02-05 DOI: 10.1088/1361-6633/ad1f81
A Chiesa, P Santini, E Garlatti, F Luis, S Carretta

Molecular nanomagnets (MNMs), molecules containing interacting spins, have been a playground for quantum mechanics. They are characterized by many accessible low-energy levels that can be exploited to store and process quantum information. This naturally opens the possibility of using them as qudits, thus enlarging the tools of quantum logic with respect to qubit-based architectures. These additional degrees of freedom recently prompted the proposal for encoding qubits with embedded quantum error correction (QEC) in single molecules. QEC is the holy grail of quantum computing and this qudit approach could circumvent the large overhead of physical qubits typical of standard multi-qubit codes. Another important strength of the molecular approach is the extremely high degree of control achieved in preparing complex supramolecular structures where individual qudits are linked preserving their individual properties and coherence. This is particularly relevant for building quantum simulators, controllable systems able to mimic the dynamics of other quantum objects. The use of MNMs for quantum information processing is a rapidly evolving field which still requires to be fully experimentally explored. The key issues to be settled are related to scaling up the number of qudits/qubits and their individual addressing. Several promising possibilities are being intensively explored, ranging from the use of single-molecule transistors or superconducting devices to optical readout techniques. Moreover, new tools from chemistry could be also at hand, like the chiral-induced spin selectivity. In this paper, we will review the present status of this interdisciplinary research field, discuss the open challenges and envisioned solution paths which could finally unleash the very large potential of molecular spins for quantum technologies.

分子纳米磁体(MNMs)是含有相互作用自旋的分子,一直是量子力学的乐园。分子纳米磁体具有许多可访问的低能级,可用于存储和处理量子信息。这自然为将它们用作量子位提供了可能性,从而扩大了量子逻辑工具与基于量子位的架构之间的差距。这些额外的自由度最近促使人们提出了在单分子中用嵌入式量子纠错(QEC)对量子比特进行编码的建议。QEC 是量子计算的圣杯,而这种量子纠错方法可以规避标准多量子比特代码中典型的物理量子比特的巨大开销。分子方法的另一个重要优势是,在制备复杂的超分子结构时,可以实现极高程度的控制,在这种结构中,单个量子比特相互连接,并保持各自的特性和相干性。这对于建立量子模拟器--能够模拟其他量子对象动态的可控系统--尤为重要。利用 MNMs 进行量子信息处理是一个快速发展的领域,仍然需要进行充分的实验探索。有待解决的关键问题与扩大量子位/量子比特数量及其单独寻址有关。从使用单分子晶体管或超导设备到光学读出技术,目前正在对几种前景看好的可能性进行深入探索。此外,化学领域的新工具,如手性诱导的自旋选择性,也可能在手。在本文中,我们将回顾这一跨学科研究领域的现状,讨论面临的挑战和设想的解决途径,以最终释放分子自旋在量子技术方面的巨大潜力。
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引用次数: 0
Beyond Kitaev physics in strong spin-orbit coupled magnets. 强自旋轨道耦合磁体中的基塔耶夫物理学。
Pub Date : 2024-02-02 DOI: 10.1088/1361-6633/ad208d
Ioannis Rousochatzakis, Natalia B Perkins, Qiang Luo, Hae-Young Kee

We review the recent advances and current challenges in the field of strong spin-orbit coupled Kitaev materials, with a particular emphasis on the physics beyond the exactly-solvable Kitaev spin liquid point. To this end, we present a comprehensive overview of the key exchange interactions in candidate materials with a specific focus on systems featuring effectiveJeff=1/2magnetic moments. This includes, but not limited to,5d5iridates,4d5ruthenates and3d7cobaltates. Our exploration covers the microscopic origins of these interactions, along with a systematic attempt to map out the most intriguing correlated regimes of the multi-dimensional parameter space. Our approach is guided by robust symmetry and duality transformations as well as insights from a wide spectrum of analytical and numerical studies. We also survey higher spin Kitaev models and recent exciting results on quasi-one-dimensional models and discuss their relevance to higher-dimensional models. Finally, we highlight some of the key questions in the field as well as future directions.

我们回顾了强自旋轨道耦合基塔耶夫材料领域的最新进展和当前挑战,特别强调了可精确求解的基塔耶夫自旋液态点之外的物理学。为此,我们全面概述了候选材料中的关键交换相互作用,并特别关注具有有效 $J_{rm eff}!=!1/2$ 磁矩的系统。这包括但不限于 5d^5$ 铱酸盐、4d^5$ 钌酸盐和 3d^7$ 钴酸盐。我们的探索涵盖了这些相互作用的微观起源,并系统地试图绘制出多维参数空间中最有趣的相关状态。我们的研究方法以稳健的对称性和对偶性转换以及广泛的分析和数值研究为指导。我们还考察了高自旋基塔耶夫模型和准一维模型的最新激动人心的成果,并讨论了它们与高维模型的相关性。最后,我们强调了该领域的一些关键问题以及未来的发展方向。
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引用次数: 0
Structural approach to charge density waves in low-dimensional systems: electronic instability and chemical bonding. 低维系统中电荷密度波的结构方法:电子不稳定性与化学键
Pub Date : 2024-01-30 DOI: 10.1088/1361-6633/ad124f
Jean-Paul Pouget, Enric Canadell

The charge density wave (CDW) instability, usually occurring in low-dimensional metals, has been a topic of interest for longtime. However, some very fundamental aspects of the mechanism remain unclear. Recently, a plethora of new CDW materials, a substantial fraction of which is two-dimensional or even three-dimensional, has been prepared and characterised as bulk and/or single-layers. As a result, the need for revisiting the primary mechanism of the instability, based on the electron-hole instability established more than 50 years ago for quasi-one-dimensional (quasi-1D) conductors, has clearly emerged. In this work, we consider a large number of CDW materials to revisit the main concepts used in understanding the CDW instability, and emphasise the key role of the momentum dependent electron-phonon coupling in linking electronic and structural degrees of freedom. We argue that for quasi-1D systems, earlier weak coupling theories work appropriately and the energy gain due to the CDW and the concomitant periodic lattice distortion (PLD) remains primarily due to a Fermi surface nesting mechanism. However, for materials with higher dimensionality, intermediate and strong coupling regimes are generally at work and the modification of the chemical bonding network by the PLD is at the heart of the instability. We emphasise the need for a microscopic approach blending condensed matter physics concepts and state-of-the-art first-principles calculations with quite fundamental chemical bonding ideas in understanding the CDW phenomenon in these materials.

电荷密度波(CDW)不稳定性通常发生在低维材料中,长期以来一直是人们感兴趣的话题。然而,该机制的一些基本方面仍不清楚。最近,人们制备并表征了大量新型 CDW 材料,其中很大一部分是二维(二维)甚至三维(三维)的块状和/或单层材料。因此,基于 50 多年前为准一维(准一维)导体建立的电子-空穴不稳定性,重新审视不稳定性主要机制的必要性已明显显现。在这项工作中,我们考虑了大量的 CDW 材料,重新审视了用于理解 CDW 不稳定性的主要概念,并强调了与动量相关的电子-声子耦合在连接电子自由度和结构自由度方面的关键作用。我们认为,对于准一维系统,早期的弱耦合理论能恰当地发挥作用,CDW 和随之而来的周期性晶格畸变(PLD)导致的能量增益仍主要归因于费米面嵌套机制。然而,对于维度较高的材料,中间耦合和强耦合机制通常会发挥作用,而 PLD 对化学键网络的改变是不稳定性的核心所在。我们强调,在理解这些材料的 CDW 现象时,需要采用一种微观方法,将凝聚态物理概念和最先进的第一原理计算与相当基础的化学键思想结合起来。
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引用次数: 0
Quantum phase transitions in two-dimensional superconductors: a review on recent experimental progress. 二维超导体中的量子相变:近期实验进展综述。
Pub Date : 2023-12-29 DOI: 10.1088/1361-6633/ad14f3
Ziqiao Wang, Yi Liu, Chengcheng Ji, Jian Wang

Superconductor-insulator/metal transition (SMT) as a paradigm of quantum phase transition has been a research highlight over the last three decades. Benefit from recent developments in the fabrication and measurements of two-dimensional (2D) superconducting films and nanodevices, unprecedented quantum phenomena have been revealed in the quantum phase transitions of 2D superconductors. In this review, we introduce the recent progress on quantum phase transitions in 2D superconductors, focusing on the quantum Griffiths singularity (QGS) and anomalous metal state. Characterized by a divergent critical exponent when approaching zero temperature, QGS of SMT is discovered in ultrathin crystalline Ga films and subsequently detected in various 2D superconductors. The universality of QGS indicates the profound influence of quenched disorder on quantum phase transitions. Besides, in a 2D superconducting system, whether a metallic ground state can exist is a long-sought mystery. Early experimental studies indicate an intermediate metallic state in the quantum phase transition of 2D superconductors. Recently, in high-temperature superconducting films with patterned nanopores, a robust anomalous metal state (i.e. quantum metal or Bose metal) has been detected, featured as the saturated resistance in the low temperature regime. Moreover, the charge-2equantum oscillations are observed in nanopatterned films, indicating the bosonic nature of the anomalous metal state and ending the debate on whether bosons can exist as a metal. The evidences of the anomalous metal states have also been reported in crystalline epitaxial thin films and exfoliated nanoflakes, as well as granular composite films. High quality filters are used in these works to exclude the influence of external high frequency noises in ultralow temperature measurements. The observations of QGS and metallic ground states in 2D superconductors not only reveal the prominent role of quantum fluctuations and dissipations but also provide new perspective to explore quantum phase transitions in superconducting systems.

超导体-绝缘体/金属转变(SIT/SMT)作为量子相变的典范,是过去三十年来的研究亮点。得益于二维(2D)超导薄膜和纳米器件制备与测量的最新进展,二维超导体的量子相变揭示了前所未有的量子现象。在这篇综述中,我们将介绍二维超导体量子相变的最新进展,重点关注量子格里菲斯奇点(QGS)和反常金属态。量子格里菲思奇点的特征是接近零温时临界指数发散,它在超薄结晶镓薄膜中被发现,随后又在各种二维超导体中被探测到。QGS 的普遍性表明了淬火无序对量子相变的深刻影响。此外,在二维超导体系中,金属基态是否存在也是一个探索已久的谜。早期的实验研究表明,二维超导体的量子相变中存在中间金属态。最近,在带有图案化纳米孔的高温超导薄膜中,人们探测到了一种稳健的反常金属态(即量子金属或玻色金属),其特征是在低温状态下具有饱和电阻。此外,在纳米图案薄膜中还观察到了电荷-2e 量子振荡,这表明了反常金属态的玻色子性质,结束了玻色子能否作为金属存在的争论。在晶体外延薄膜和剥离纳米片以及颗粒状复合薄膜中也有关于反常金属态的证据报道。在这些工作中使用了高质量滤波器,以排除超低温测量中外部高频噪声的影响。对二维超导体中 QGS 和金属基态的观测不仅揭示了量子波动和耗散的重要作用,而且为探索超导系统中的量子相变提供了新的视角。
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引用次数: 0
Quantum systems in silicon carbide for sensing applications. 用于传感应用的碳化硅量子系统。
Pub Date : 2023-12-20 DOI: 10.1088/1361-6633/ad10b3
S Castelletto, C T-K Lew, Wu-Xi Lin, Jin-Shi Xu

This paper summarizes recent studies identifying key qubit systems in silicon carbide (SiC) for quantum sensing of magnetic, electric fields, and temperature at the nano and microscale. The properties of colour centres in SiC, that can be used for quantum sensing, are reviewed with a focus on paramagnetic colour centres and their spin Hamiltonians describing Zeeman splitting, Stark effect, and hyperfine interactions. These properties are then mapped onto various methods for their initialization, control, and read-out. We then summarised methods used for a spin and charge state control in various colour centres in SiC. These properties and methods are then described in the context of quantum sensing applications in magnetometry, thermometry, and electrometry. Current state-of-the art sensitivities are compiled and approaches to enhance the sensitivity are proposed. The large variety of methods for control and read-out, combined with the ability to scale this material in integrated photonics chips operating in harsh environments, places SiC at the forefront of future quantum sensing technology based on semiconductors.

本文总结了近年来在纳米和微观尺度上确定用于磁、电场和温度量子传感的碳化硅(SiC)关键量子比特系统的研究。 综述了可用于量子传感的碳化硅色心的性质,重点介绍了顺磁色心及其描述塞曼分裂、斯塔克效应和超精细相互作用的自旋哈密顿子。然后将这些属性映射到用于初始化、控制和读出的各种方法上。然后,我们总结了用于控制SiC中不同色中心的自旋和电荷状态的方法。这些性质和方法,然后描述在磁力计,测温和电测量量子传感应用的背景下。对当前最先进的灵敏度进行了汇编,并提出了提高灵敏度的方法。各种各样的控制和读出方法,加上在恶劣环境下运行的集成光子芯片中扩展这种材料的能力,使SiC处于未来基于半导体的量子传感技术的前沿。
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引用次数: 0
Toward large-scale, ordered and tunable Majorana-zero-modes lattice on iron-based superconductors. 铁基超导体的大规模、有序和可调谐马约拉纳零模晶格。
Pub Date : 2023-11-28 DOI: 10.1088/1361-6633/ad0c5c
Geng Li, Meng Li, Xingtai Zhou, Hong-Jun Gao

Majorana excitations are the quasiparticle analog of Majorana fermions in solid materials. Typical examples are the Majorana zero modes (MZMs) and the dispersing Majorana modes. When probed by scanning tunneling spectroscopy, the former manifest as a pronounced conductance peak locating precisely at zero-energy, while the latter behaves as constant or slowly varying density of states. The MZMs obey non-abelian statistics and are believed to be building blocks for topological quantum computing, which is highly immune to the environmental noise. Existing MZM platforms include hybrid structures such as topological insulator, semiconducting nanowire or 1D atomic chains on top of a conventional superconductor, and single materials such as the iron-based superconductors (IBSs) and 4Hb-TaS2. Very recently, ordered and tunable MZM lattice has also been realized in IBS LiFeAs, providing a scalable and applicable platform for future topological quantum computation. In this review, we present an overview of the recent local probe studies on MZMs. Classified by the material platforms, we start with the MZMs in the iron-chalcogenide superconductors where FeTe0.55Se0.45and (Li0.84Fe0.16)OHFeSe will be discussed. We then review the Majorana research in the iron-pnictide superconductors as well as other platforms beyond the IBSs. We further review recent works on ordered and tunable MZM lattice, showing that strain is a feasible tool to tune the topological superconductivity. Finally, we give our summary and perspective on future Majorana research.

马约拉纳激发是固体材料中马约拉纳费米子的准粒子模拟。典型的例子是马约拉纳零模和弥散马约拉纳模。当用扫描隧道光谱探测时,前者表现为精确定位于零能量的明显电导峰,而后者表现为恒定或缓慢变化的态密度。mzm服从非阿贝尔统计,被认为是拓扑量子计算的基石,拓扑量子计算对环境噪声具有高度免疫力。现有的MZM平台包括在传统超导体之上的混合结构,如拓扑绝缘体、半导体纳米线或一维原子链,以及单一材料,如铁基超导体(ibs)和4Hb-TaS2。最近,在铁基超导体LiFeAs中也实现了有序和可调谐的MZM晶格,为未来的拓扑量子计算提供了可扩展和适用的平台。本文综述了近年来MZMs局部探针的研究进展。根据材料平台分类,我们从铁硫系超导体中的mzm开始,其中将讨论FeTe0.55Se0.45和(Li0.84Fe0.16)OHFeSe。然后,我们回顾了马约拉纳在铁镍超导体以及其他平台上的研究。我们进一步回顾了最近关于有序和可调谐MZM晶格的研究,表明应变是调节拓扑超导性的可行工具。最后,对马约拉纳的未来研究进行了总结和展望。
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