反铁磁链中Dzyaloshinskii–Moriya机制驱动矢量自旋手征束缚态的研究

Dzyaloshinskii-Moriya(DM)相互作用驱动的矢量自旋手征态,能和声子发生耦合,具备非常丰富的物理现象.本论文以一维反铁磁链中自旋手征-声子耦合模型为基础,研究不同声子环境下,耦合强度对自旋手征动力学演化过程的影响规律.结果表明,对自旋S=1/2的系统,在不同的声子浴(sub-Ohmic(0 1))中,均会在非相干到相干自旋涨落过程中产生无能隙一级相变,其来源是自旋手征束缚态的形成.相变发生的临界自旋-声子耦合强度正比于自旋涨落大小,反比于系统德拜频率.当自旋-声子耦合强度超过其临界值时,自旋手征束缚态的产生将极大地抑制非相干自旋涨落.     

周期莫尔晶格中里德伯缀饰玻色气体的基态结构

里德伯缀饰和自旋轨道耦合的实验实现极大地拓宽了冷原子作为量子模拟平台的研究视野.本文研究了莫尔晶格中里德伯缀饰自旋轨道耦合玻色气体的基态结构,探索了非局域里德伯相互作用和自旋轨道耦合强度对该系统基态的影响.研究发现,当出现非局域里德伯相互作用时,系统不再具有平移对称性,倾向于形成更多更规则的周期性结构;当存在自旋轨道耦合相互作用时,系统的基态在此周期性结构的基础上,将呈现出更加丰富的内部结构.     

自旋轨道耦合作用的等效磁场

自旋与电荷一样,是电子的固有属性,电子的周期性轨道运动产生的磁场与电子的自旋磁矩相互作用,这种磁相互作用就是自旋轨道相互作用。在原子物理学中,这种自旋轨道作用会影响原子光谱的精细结构,然而教材中缺少自旋轨道耦合作用在二维半导体材料中的微观描述。本文将引入Rashba和Dresselhaus自旋轨道耦合作用的哈密顿量,研究单电子在无外场下二维平面内运动,讨论一种或者两种自旋轨道耦合的哈密顿量表示。通过自旋与等效磁场耦合的塞曼能量表示,本文计算了本征态下不同自旋轨道耦合作用下的等效磁场,从而有助于探索二维半导体材料中不同自旋轨道耦合作用下的物理特性。     

铷原子气体自旋噪声谱测量的信噪比分析

自旋噪声谱是一种非扰动的自旋动力学研究方法,通过探测系统在非激发条件下的自旋涨落,可以揭示系统在热平衡状态下的性质.因为系统在稳态下的自旋涨落十分微弱,所以提高信噪比在自旋噪声谱的测量中特别重要.本文采用频谱仪、数据采集卡和实时傅里叶变换采集卡三种方法来测量铷原子气体的自旋噪声谱,并将实验结果进行对比,分析了叠加次数、测量效率和采样深度等因素对谱线信噪比的影响.实验发现,谱线叠加次数对自旋噪声谱的信噪比影响最为显著,测量效率则能反映不同方法在相同的测量时间内得到的谱线质量,并比较了三种方法的测量效率,采样深度的提高并不能明显改善自旋噪声谱的信噪比.相比于传统的频谱仪和数据采集卡,实时傅里叶变换采集卡的数据利用率和测量效率更高,从而具有更好的信噪比,非常有利于自旋噪声谱在自旋动力学研究中的应用.     

可恢复相干性中心自旋模型结构设计及精确动力学

中心自旋不可避免地与周围核自旋发生相互作用,发生退相干,这也是量子信息和量子计算领域长久以来面临的严峻挑战之一。我们提出了一种可以完美且长久保持中心自旋量子位相干性的结构,该结构由一个自旋-1/2中心自旋通过XXZ型超精细相互作用耦合上一个由非均匀耦合相互作用的自旋链构成,其在中心自旋为叠加态、浴自旋为反铁磁态为初态及浴内为较强耦合的情况下,中心自旋可近似维持原有相干性,进一步去除xy方向超精细耦合,可完美保持相干性。中心自旋作量子位,将此结构应用于量子计算,或可实现无损耗量子计算。我们用浴自旋模拟环境,应用基于XX链中自旋算符矩阵元解析表示的运动方程方法,系统地研究了环境对于中心自旋退相干动力学的影响,着重研究了浴自旋间非均匀耦合影响下的中心自旋相干因子的动力学特性。在从最小到最大调控浴自旋间非均匀耦合过程中,中心自旋相干动力学大致呈现出了六个阶段,展现了丰富的量子动力学特性,并为日后研究中心自旋动力学提供了两个重要参考标志：相干因子的长时平均值的极值可以作为区分不同相的标志;相干因子长时演化的平衡可以作为竞争平衡中耦合关系对等或之间的倍数关系的标志。     

磁性超导体的临界温度理论

本文将文献[1]中的理论推广到磁性超导体的情形,研究了自旋涨落对超导临界温度的抑制作用,给出了磁性超导体的临界温度的级数展开公式为其中系数b_0、b_4、b~2…仅仅是库仑赝势μ和电子-自旋涨落耦合常数λ_s的函数.〈ω~(2n)〉、(ω~(2n))分别为有效声子谱α~2F(ω)和有效自旋涨落谱略α_m~2F(ω)的偶次矩.本文同时还给出了上述公式与数值解的比较的数字结果,并求出电声子耦合强度的临界值为μ与λ_s之和.     

新型4d/5d基超导体的结构和物性

在强关联电子体系中,轨道、自旋和晶格等自由度之间的相互作用一直是研究的热点.这些自由度之间的竞争和共存产生了复杂新奇的物理现象,如超导现象、量子相变、自旋有序、拓扑相变、金属绝缘转变等,这些丰富的物理现象来源于不同的有序态或量子涨落之间的竞争和耦合.自旋轨道耦合作用是指粒子的自旋角动量和轨道角动量之间的相互作用,在4d/5d基化合物中,由于电子的运动速度较快,自旋轨道耦合的效应不可忽视,可能表现出与3d基化合物不同的物性.例如,在含4d/5d过渡族金属元素的超导体中,其电子配对的机制可能不同于常规的s波Bardeen-Cooper-Schrieffer超导体.本文以几种典型的4d/5d基超导体为例,对其晶体结构和超导物性及其内在联系进行了详细论述,重点探讨了阴离子共价键强弱对晶体结构、相变和超导物性的影响,希望引起相关研究者对该类超导体的重视.     

一维XY自旋链中双自旋比特的相干分布及其相变临界行为

本文在具有Dzyaloshinsky-Moriya(DM)相互作用的一维XY自旋链中,以双自旋比特系统为研究对象,基于Jensen-Shannon熵,研究了量子相干分布（局域相干和集体相干）及其相变临界行为。研究发现,通过改变自旋-自旋耦合作用和DM相互作用,可以有效调控局域相干与集体相干之间的相互转化。此外,局域相干和集体相干能够通过局部极值或发散的临界行为准确地表征自旋链的一阶和二阶量子相变。当一阶量子相变的探测受到自旋-自旋耦合作用和DM相互作用的干扰时,集体相干比局域相干具有更加稳定的识别效果。最后,长距离自旋对的总体相干和集体相干在表征二阶量子相变上都具有显著优势。     

简谐+四次势中自旋轨道耦合旋转玻色-爱因斯坦凝聚体的基态结构

研究了囚禁于简谐+四次势中具有自旋轨道耦合相互作用的旋转玻色-爱因斯坦凝聚体的基态结构; 考虑了自旋轨道耦合相互作用和旋转对基态结构的影响; 结果发现在自旋轨道耦合相互作用与旋转共同作用下, 系统呈现出丰富且新奇的基态结构, 如条形、双排和蛇皮花斑状等.     

一维扩展t-J模型中密度-自旋相互作用诱导的相分离

t-J模型是研究高温超导电性的重要理论模型之一. 最近的冷分子实验表明可用极性分子模拟t-J模型. 实验模拟的t-J模型除了引进长程的偶极相互作用外, 还引进了密度-自旋相互作用. 本文使用密度矩阵重整化群方法研究了密度-自旋相互作用对一维t-J 模型基态性质的影响. 选取了t-J模型基态相图中不同相区的三个点, 计算了不同密度-自旋相互作用强度下的粒子数和自旋的实空间分布,以及密度-密度关联函数和自旋-自旋关联函数与相应的结构因子. 计算结果表明, 密度-自旋相互作用强度较弱时, 对系统的性质不会产生定性影响;当其强度足够大时, 系统会进入相分离, 该相分离与传统t-J模型的相分离有很大区别.     

Fermion zero modes in symmetric vortices in superfluid He

Fermions localized within vortex cores are considered for the simplest most symmetric vortices in the superfluid phases of ³He. Axisymmetric vortices in the A, A₁ and planar phases contain the fermionic condensate with a completely flat band and zero energy. The o-vortex in the B-phase contains 1D Fermi liquids, formed by fermions occupying the branches which cross the zero level. The number of such Fermi liquids increases with increasing external magnetic field. The fermionic spectrum in this vortex is described by the “orbital” and spin momenta interacting with the effective internal magnetic field produced by the vortex and with the external field. Most of the information is obtained using the vortex symmetry which determines symmetry properties of the fermionic spectrum.     

Spin-orbit coupling in Bose-Einstein condensate and degenerate Fermi gases

We review our recent experimental realization and investigation of a spin orbit （SO） coupled Bose Einstein condensate （BEC） and quantum degenerate Fermi gas. By using two counter-propagathlg Ranlan lasers and controlling the different frequency of two R,aman lasers to engineer the atom light interaction, we first study the SO coupling in BEC. Then we study SO coupling in Fermi gas. We, observe the spin dephasing in spin dynamics and momentum distribution asymmetry of the equilibrium state as halhnarks of SO coupling in a Fermi gas. To clearly reveal the, property of SO coupling Fermi gas, we also study the momentmn-resolved radio-frequency spectroscopy which characterizes the energy momentum dispersion and spin composition of the quantum states. We observe the change of errmion surfaces in different helieity branches with different atomic density, which indicates that a Lifshitz transition of the Fermi surface topology change can be found by further cooling the system. At last, we study the momentum-resolved Raman spectroscopy of an ultracoht Fermi gas.     

Cr3+：MgAl2O4晶体EPR参量及其电子精细光谱的研究

考虑了SS(Spin-Spin)作用和SOO(Spin-Other-Orbit)作用，采用完全对角化方法，结合自旋Hamiltonian理论，研究了Cr³⁺∶MgAl₂O₄晶体EPR参量及其吸收光谱，理论与实验符合甚好. 在此基础上，进一步研究了⁴A₂(3d³)离子EPR参量的微观起源. 研究表明，EPR参量起源于四种微观机制：(1) SO(Spin-Orbit) 耦合机制；(2) SS耦合机制；(3)SOO耦合机制；(4) SO～SS～SOO总联合作用机制. 在这些机制中，SO机制是最主要的.     

NMR study of local hole distribution, spin fluctuation and superconductivity in Tl2Ba2Ca2Cu3O10

⁶³Cu, ¹⁷O and ²⁰⁵Tl NMR have been performed in the high-T_c superconductor Tl₂Ba₂Ca₂Cu₃O₁₀ whose T_c(max) is 127 K. The hole densities at Cu and oxygen sites in the CuO₂ plane have been extracted from the nuclear quadrupole frequency ν_Q. The striking feature is that the Cu holes are significantly transferred to oxygen site due to strong hybridization between Cu and oxygen. From an analysis of T₁ and T_2G, it has been found that the spectral weight of the spin fluctuation is transferred to higher energy compared to YBa₂Cu₃O₇, while the magnetic correlation length ξ does not differ much. Thus, it is suggested that the higher T_c is due to higher characteristic energy of spin fluctuations, i.e. the superconductivity is spin fluctuation mediated. The superconducting properties are consistently explained by a d-wave superconductivity model with a finite density of states (DOS) at the Fermi level. We show that the disorder of the Ca/TlO layer caused by the partial inter-substitution of Tl and Ca is responsible for the potential scattering to produce such a DOS. It is found that if such a potential scattering were absent, T_c would go up to 132 K which is quite close to the record T_c realized in the Hg based compound.     

缀饰格子中时间反演对称破缺的量子自旋霍尔效应

<正>研究了缀饰格子中的量子自旋霍尔效应,模型中同时考虑了Rashba自旋轨道耦合和交换场的作用.缀饰格子具有简立方对称性,以零能平带和单狄拉克锥结构为主要特点.在缀饰格子中,不论是实现量子自旋霍尔效应还是量子反常霍尔效应,都需要一个不为零的内禀自旋轨道耦合作用来打开一个完全的体能隙,这与石墨烯等六角格子模型有着很大的不同.在交换场破坏了时间反演对称性的情况下,以自旋陈数为标志的量子自旋霍尔效应仍然能够存在,边缘态和极化率的相关结果也证明了这一结论.结果表明自旋陈数比z2拓扑数在表征量子自旋霍尔效应方面有着更广泛的适用范围,相应的结论为利用磁场控制量子自旋霍尔效应提出了一个理论模型和依据.     

Dynamical fluctuations in fragmentation reactions in a Boltzmann–Langevin approach

Based on the isospin-dependent Boltzmann–Langevin model, the dynamical fluctuations in the fragmentation reaction of ¹¹²Sn+¹¹²Sn are investigated. The quadrupole moment and octupole moment with zero magnetic quantum number have large fluctuations in the early time of the collisions. The dynamical fluctuations in momentum space show a strong dependence on the incident energy. The effects of using different fluctuations on the fragment cross sections are also studied in the fragmentation reactions. The results by using Q₂₀ + Q₃₀ fluctuation have a better agreement with the experimental data. Calculations using Q₂₀ + Q₃₀ fluctuation produce more proton-rich and neutron-rich nuclei than those using Q₂₀ fluctuation only. Besides, the difference between the production cross sections of fragments calculated by using Q₂₀ and Q₂₀ + Q₃₀ fluctuations is larger in the vicinity of the projectile. These results present that the dynamical fluctuations may affect the whole dynamical process of fragmentation reactions including the production of fragments, due to the nonlinear nature of the Boltzmann–Langevin equation.     

Residual 31P, 35,37Cl dipolar coupling in 31P MAS spectra of chlorocyclophosphazenes

In ³¹P MAS NMR spectra of chlorocyclophosphazenes, characteristic splittings have been observed for PCl or PCl₂ groups. At different applied magnetic fields, the fine structure and total width of the patterns change in a characteristic way, demonstrating that the splittings are due to indirect spin–spin and residual dipolar interactions with the chlorine nuclei directly bonded to phosphorus. For trans-nongeminal N₃P₃Cl₃(NMe₂)₃ and N₃P₃Cl₆ as examples, the spectra have been analyzed to obtain information on chlorine nuclear quadrupole coupling constants and ^35,37Cl, ³¹P indirect spin–spin coupling constants. Neglect of these interactions may result in misinterpretations of the multiplicity in ³¹P MAS spectra of chlorophosphazenes.     

Description of Rotation Bands in 157,158Er at Ultrahigh Spin

Properties of the four rotation bands, ¹⁵⁷Er(1,2) and ¹⁵⁸Er(1,2), at ultrahigh spin are investigated within the supersymmetry scheme including many-body interactions and possessing the SO(5) (or SU(5)) symmetry on the rotational symmetry. Quantitatively good results of the  γ-ray energies and the dynamical moments of inertia in the rotation bands in ¹⁵⁷Er and ¹⁵⁸Er at ultrahigh spin are obtained. We theoretically predict that the competition between the anti-pairing and pairing effects may exist in ¹⁵⁷Er(1,2) and ¹⁵⁸Er(2) bands states. In ¹⁵⁸Er(1) band state, the favoure-pairing effects may exist and the SO(5) (or SU(5)) symmetry play a dominant role. There may be sphere coexisting with headecupole deformed in ¹⁵⁸Er(1) rotation band state.     

Electronic and vibronic spectra of Pr in LiYF4

The polarized absorption and fluorescence spectra of Pr³⁺ in single crystals of LiYF₄ having the scheelite structure have been investigated and assignments made on the basis of S₄ site symmetry. Strong vibronic coupling associated with the ³H₄→³H₅, ¹D₂ transitions in absorption and the ³P₀→³H_4,6 transitions in fluorescence was observed. Using selection rules for vibronic coupling and the known k = 0 phonons, these “extra” features of the spectrum can be accounted for in polarization and frequency.     

Co_(2~-)基Heusler合金Co_2FeAl_(1–x)Si_x(x=0.25,x=0.5,x=0.75)的结构、电子结构及热电特性的第一性原理研究

运用基于密度泛函理论的第一性原理方法,对Co_2FeAl_(1–x)Si_x(x=0.25, 0.5, 0.75)系列Heusler合金的电子结构、四方畸变、弹性常数,声子谱以及热电特性进行了计算研究.结果显示, Co_2FeAl_(1–x)Si_x系列合金的电子结构均为半金属特性,向下自旋态(半导体性)均呈现良好的热电特性,并且随着硅原子浓度的增加功率因子随之增加.计算的声子谱不存在虚频,均满足动力学稳定性条件,弹性常数均满足玻恩稳定性条件,机械稳定性均良好.随着晶格常数c/a的比值变化,体系的能量最低点均出现在c/a=1处,即结构稳定性不随畸变度c/a的变化而变化,说明不存在马氏体相变.此系列合金薄膜的电子结构呈现较高的自旋极化率,在替代浓度x=0.75时自旋极化率达到100%,且当x=0.75时薄膜在畸变度c/a=1.2时存在马氏体相变.随着晶格畸变度的改变,总磁矩也发生变化,且主要由Fe和Co两种过渡金属原子的磁矩变化所决定.