Frontiers in frustrated magnetism

This article discusses at a qualitative level a number of issues at the forefront of current understanding and developments in frustrated quantum magnetism. The focal point of the presentation is the spin liquid, which is introduced in terms of (un)broken spin and lattice symmetries. An overview of the full spectrum of research activity in the field is obtained by considering selected examples from experimental approaches to realising spin-liquid states, from theoretical efforts which seek both to classify spin liquids according to their physical properties and to broaden the search for spin-liquid behaviour, and from numerical techniques which offer the prospect of qualitatively new insight into frustrated spin systems.     

低维量子磁性和量子海森伯反铁磁体之有效场论

文章对低维量子磁性的基本问题和相关研究进展作了简单评述，强调了量子非线性Sigma模型在研究量子海森伯反铁磁体的低能物理方面所起的作用以及理论本身存在的疑难问题，并简单介绍了作者最近提出的克服这些疑难问题的一个新建议．     

量子自旋液体的实验研究进展

量子自旋液体是指由于其中存在的强量子涨落导致自旋即使在零温极限下也不形成磁有序的一种新的自旋量子态。区别于传统的磁有序材料,它的基态没有确定的序参量来表示,并且不伴随任何自发的对称性破缺,超越了朗道相变理论所能描述的物相范畴,代表了一种新奇的量子物态,具有非常高的理论研究价值。这一全新的物态被认为与非常规超导机制之间有着十分紧密的关系。同时在未来的量子计算方面有着非常诱人的应用前景,因此一直以来备受关注。虽然量子自旋液体理论经过近半个世纪的积淀有了长足的发展,但是由于候选材料稀少,实验测量条件苛刻等多种因素制约,导致实验方面的进展相对缓慢。近年来各项实验技术的进步和成熟为量子自旋液体候选材料的测量表征提供了有利条件,加快了实验工作的推进速度。本文将从实验的角度介绍 (1) 几何阻挫量子自旋液体候选材料,包括三角晶格化合物 YbMgGaO量子自旋液体是指由于其中存在的强量子涨落导致自旋即使在零温极限下也不形成磁有序的一种新的自旋量子态。区别于传统的磁有序材料,它的基态没有确定的序参量来表示,并且不伴随任何自发的对称性破缺,超越了朗道相变理论所能描述的物相范畴,代表了一种新奇的量子物态,具有非常高的理论研究价值。这一全新的物态被认为与非常规超导机制之间有着十分紧密的关系。同时在未来的量子计算方面有着非常诱人的应用前景,因此一直以来备受关注。虽然量子自旋液体理论经过近半个世纪的积淀有了长足的发展,但是由于候选材料稀少,实验测量条件苛刻等多种因素制约,导致实验方面的进展相对缓慢。近年来各项实验技术的进步和成熟为量子自旋液体候选材料的测量表征提供了有利条件,加快了实验工作的推进速度。本文将从实验的角度介绍(1)几何阻挫量子自旋液体候选材料,包括三角晶格化合物YbMgGaO_4和YbZnGaO_4、κ-(BEDT-TTF)_2Cu_2(CN)_3、EtMe_3Sb[Pd(dmit)_2]_2和kagome格子化合物ZnCu_3(OH)_6Cl_2;(2)Kitaev量子自旋液体候选材料铱氧化物(Na_2IrO_3与α-,β-,γ-Li_2IrO_3)和α-RuCl_3。文章将着重介绍近年来在量子自旋液体实验方面的进展,之后做一个简单的总结,最后对量子自旋液体的未来发展做一个展望。     

自旋阻挫重费米子体系中的量子相变

近藤效应和RKKY交换相互作用的竞争决定了多数重费米子化合物的基态性质。通过压力、磁场等非热力学参量调控,该类材料能够在绝对零温附近实现费米液体和磁有序相之间的连续转变,提供了研究量子相变的理想平台。另一方面,在绝缘的量子磁体中,自旋阻挫引起的量子涨落抑制低温下长程磁有序的发生,导致自旋液体相等新奇物态的产生。在近藤晶格中引入自旋阻挫将给重费米子材料提供一个新的调控维度,深刻改变该类材料的量子临界相图,是重费米子材料领域的一个新颖研究方向。文章首先介绍阻挫重费米子体系的研究背景,然后针对CePdAl的物性展开讨论,探讨阻挫对重费米子材料量子临界物性的影响以及量子临界相的普适性。     

Spin plasmonics in magnetism

We discuss a new class of phenomena that we call ＂spin plasmonics＂. It is motivated by three different recent trends of physics research： （i） spintronics, （ii） plasmonics, and （iii） topological properties as is exemplified by the quantized Hall effect. This involves the physics of the ＂magnetic surface plasmon＂ （MSP） which provides for an analog of the edge states discussed in the quantized Hall effect. Their properties can be easily tuned by an external magnetic field. They are coupled to the electromagnetic field and can be injected into metallic structures and induce spin and charge currents and hold the promise of miniturization of nonreciprocal devices.     

Electron Spins in Quantum Dots as Quantum Bits

The creation, coherent manipulation, and measurement of spins in nanostructures open up completely new possibilities for electronics and information processing, among them quantum computing and quantum communication. We review our theoretical proposal for using electron spins in quantum dots as quantum bits, explaining why this scheme satisfies all the essential requirements for quantum computing. We include a discussion of the recent measurements of surprisingly long spin coherence times in semiconductors. Quantum gate mechanisms in laterally and vertically tunnel-coupled quantum dots and methods for single-spin measurements are introduced. We discuss detection and transport of electronic EPR pairs in normal and superconducting systems.     

有限温度张量重正化群方法及其在阻挫量子磁性研究中的应用

阻挫量子磁体中的新奇物态与效应是凝聚态物理研究的重要前沿方向,因其与高温超导、拓扑量子计算等的密切联系,近年来吸引了人们浓厚的研究兴趣。实验上,阻挫自旋液体候选材料的 新进展层出不穷,人们系统地研究了若干三角晶格、笼目晶格和六角Kitaev 阻挫磁体等材料,发 现其在一定条件下展现出自旋液体态的特征,但澄清其中的量子物态是充满挑战的量子多体问题。 作者最近的工作指出,可以从有限温度张量重正化群多体计算入手,开展热力学性质的精确计算 与分析,确定阻挫磁体的微观自旋模型,做出进一步理论预言并开展实验验证,从而建立量子磁性 系统的多体计算精确研究方案。有限温度张量重正化群方法是计算大尺寸二维阻挫量子自旋模型 有限温度性质的有力工具,在本文中作者首先介绍新近发展的系列张量重正化群方法,包括线性 和指数张量重正化群等。随后,作者讨论有限温度张量方法在三角晶格量子伊辛磁体TmMgGaO4 和六角晶格Kitaev 磁体α-RuCl3 的微观自旋模型中的具体应用：通过高精度和全面的多体计算, 揭示出其中存在演生U(1) 对称性与拓扑相变,以及高场量子自旋液体态等新颖的结论,这些理 论预言也陆续被实验所证实。通过上述实例,作者展示了有限温度张量重正化群计算方法在自旋 液体候选材料研究中的应用价值,并期待这些方法能在强关联量子物质研究中发挥重要作用。     

铁基超导体的量子临界行为

铁基超导体呈现丰富的电子相图, 各种有序态相互交叠. 本文主要介绍利用核磁共振手段在空穴型和电子型掺杂的BaFe₂As₂以及LaFeAsO_1-xF_x这三种具有代表性的铁基超导体中探测到的反铁磁序与超导序的微观共存、量子临界点和量子临界行为. 实验发现, 无论在空穴型还是电子型掺杂的铁基超导体中, 反铁磁相变温度都随着掺杂被抑制, 并最终在某个掺杂量降到零温而形成量子临界点. 在反铁磁转变温度之上存在结构相变, 其转变温度也随着掺杂而降低. 核磁共振谱证实结构相变也形成一个量子临界点. 本文介绍核磁共振及输运测量揭示的这两种量子临界点附近存在的量子临界行为, 共存态下奇异的超导性质等.     

利用密度泛函理论研究BnNi(n≤5)小团簇的结构和磁性

基于第一性原理，用密度泛函理论中的广义梯度近似方法，获得了B_nNi(n≤5)小团簇在不同自旋多重度下的几何构型，确定了最低能量结构，并计算了相应的频率、平均结合能和磁性. 结果表明：B_nNi(n≤5)小团簇最低能量结构的自旋多重度分别为2，1，2，1，2；Ni掺入B团簇后增大了其结合能；Ni原子磁矩和团簇总磁矩随团簇尺寸增大而呈现振荡趋势. 关键词： nNi小团簇')" href="#">B_nNi小团簇 自旋多重度 磁性     

低维量子磁性和量子海森伯反铁磁体之有效场论

文章对低维量子磁性的基本问题和相关研究进展作了简单评述,强调了量子非线性Sigma模型在研究量子海森伯反铁磁体的低能物理方面所起的作用以及理论本身存在的疑难问题,并简单介绍了作者最近提出的克服这些疑难问题的一个新建议.     

Quantum Communication in Spin Chain with Multiple Spin Exchange Interaction

The transmission of quantum states in the anisotropic Heisenberg XXZ chain model with three-spin exchange interaction is studied. The average fidelity is used to evaluate the state transfer. It is found that quantum communication can be enhanced by the anisotropic coupling and multiple spin interaction. Such spin model can reduce the time required for the perfect state transmission where the fidelity is unity. The maximally entangled Bell states can be generated and separated from the whole quantum systems.     

Structure and frustrated magnetism of the two-dimensional triangular lattice antiferromagnet Na2BaNi(PO4)2

A new frustrated triangular lattice antiferromagnet Na₂BaNi(PO₄)₂ was synthesized by high temperature flux method. The two-dimensional triangular lattice is formed by the Ni²⁺ ions with S =1. Its magnetism is highly anisotropic with the Weiss constants θ_CW =-6.615 K (H⊥c) and -43.979 K (H||c). However, no magnetic ordering is present down to 0.3 K, reflecting strong geometric spin frustration. Our heat capacity measurements show substantial residual magnetic entropy existing below 0.3 K at zero field, implying the presence of low energy spin excitations. These results indicate that Na₂BaNi(PO₄)₂ is a potential spin liquid candidate with spin-1.     

Quantum spin chains with various defects

Using the density matrix renormalization group (DMRG) method, we study the quantum coherence in one‐dimensional disordered spin chains and Fermi systems. We consider in detail spinless fermions on a ring, and compare the influence of several kinds of impurities in a gapless and a dimerized, gapped system. In the translation‐invariant system a so‐called site‐impurity, which can be realized by a local potential or a modification of one link, increases for repulsive interaction, and decreases for attractive interaction, upon renormalization. The weakening of two neighbouring bonds, which is a realization of a so‐called bond‐impurity, on the other hand, is healed for repulsive interaction, but enhanced for intermediate attractive interactions. This leads to a strong suppression of the quantum coherence measured by the phase sensitivity, but not to localization. Adding a local distortion to a dimerized system, we find that even the presence of a single site‐impurity increases the metallic region found in the dimerized model. For a strong dimerization and a high barrier, an additional sharp maximum, is seen in the phase sensitivity as a function of interaction, already for systems with about 100 sites. A bond‐impurity in the dimerized system also opens a small metallic window in the otherwise isolating regime.     

单层正三角锯齿型石墨烯量子点的电子结构和磁性

采用基于密度泛函理论的广义梯度近似(GGA),对不同尺寸(N=2—11)的单层正三角锯齿型石墨烯量子点(Z_N -GNDs)的结构进行优化,得到与实验数据较好符合的晶格常数,进一步计算得到不同尺寸下体系的自旋多重度、磁矩、电子态密度以及自旋电子密度.结果表明:所有体系都呈现金属性,在尺寸较小的体系中量子尺寸效应对电子结构的影响比较明显;与单层石墨烯片一样,sp²杂化作用和非键态电子在量子点中仍起到非常重要的作用;费米能级上有自旋向上的电子分布,体系的 关键词： 石墨烯 量子点 电子结构 磁性     

从Mott绝缘体到高温超导体:自旋磁性与超导电性的互偶关系

作者最近的一项理论工作对高温超导体作为一种掺杂Mott绝缘体进行了新的探索 ,得到一个长波低能极限的有效理论 ,强调了自旋反铁磁性和超导电性之间的拓扑互偶关系 .这个理论能够为一大类具有本质性和挑战性的高温超导现象提供简明的解释 ,给出掺杂Mott绝缘体的超导电性的“指纹”特征 ,并给出若干有趣的理论预言 .     

Quantum Phase Transitions and Dimerized Phases in Frustrated Spin Ladder

In this paper, we study the phase diagram of a frustrated spin ladder model by applying the bosonization technique and the density-matrix renormalization-group (DMRG) algorithm. Effect of the intra-chain next-nearest-neighbor (NNN) super-exchange interaction is investigated in detail and the order parameters are calculated to detect the emergence of the dimerized phases. We find that the intra-chain NNN interaction plays a key role in inducing dimerized phases.     

Hemoglobin magnetism in aqueous solution probed by muon spin relaxation and future applications to brain research

A marked difference in spin relaxation behavior due to hemoglobin magnetism was found for positive muons (μ⁺) in deoxyhemoglobin in comparison with that observed in oxyhemoglobin in aqueous solution at room temperature under zero and external longitudinal magnetic fields upto 0.4 Tesla. At the same time, small but significant unique relaxation pattern was observed in nonmagnetic oxyhemoglobin. Combined with our previous measurements on hemoglobin in human blood, application of this type of measurement to the studies of the level of oxygenation in various regions of the human brain is suggested.     

Propagation of Correlations in Quantum Lattice Systems

We provide a simple proof of the Lieb-Robinson bound and use it to prove the existence of the dynamics for interactions with polynomial decay. We then use our results to demonstrate that there is an upper bound on the rate at which correlations between observables with separated support can accumulate as a consequence of the dynamics.