Fermion Self-Energy and Chiral Symmetry Breaking from Four-Fermion and Gauge Interactions

The exact analytic solutions of the linearized Schwinger-Dyson equation of fermion self-energy are used to obtain the effective four-fermion and gauge coupling criticality curves for dynamical chiral symmetry breaking. The results show that when the zero-momentum gauge coupling a(0) < a₀(0), the critical gauge coupling in the pure gauge interaction case, the minimal critical four-fermion coupling β_min is always nonzero and positive and will go up as the a(0) decreases. The use of the exact solutions also allows us to make quite definite estimations of the momentum scales where chiral symmetry breaking would happen if the values of an infrared parameter ξ are given separately.     

Levy噪声激励下的幂函数型单稳随机共振特性分析

将Levy噪声与幂函数型单稳随机共振系统相结合, 为确保实验数据的可靠性, 以平均信噪比增益为衡量指标, 针对Levy噪声激励下的随机共振现象进行了研究. 详细介绍了单稳系统势函数形式及Levy噪声的产生原理, 深入探究了不同特征指数α 和不同对称参数β 取值条件下, 单稳系统参数a和b、Levy噪声强度放大系数D对幂函数型单稳系统共振输出的作用规律. 研究结果表明, 在任意Levy噪声分布条件下, 通过对系统参数a和b的适当调整均能诱导随机共振, 完成微弱信号检测, 且有多个随机共振区间与之对应, 同时这些区间不随α 或β 的改变而改变; 此外, 在研究噪声诱导的随机共振时也发现了同样的规律, 通过调节噪声强度放大系数D也能产生随机共振, 且随机共振区间也不随α 或β 的改变而改变; 最后, 在研究系统参数a和b之间的相互作用关系时发现, 一个系统参数的随机共振取值区间会随着另一个系统参数的改变而改变. 所获得的研究结果有效解决了Levy噪声激励下幂函数型单稳随机共振系统的系统参数、噪声强度放大系数的选择问题, 为其应用于工程实践提供了可靠的理论依据.     

A New Nonfree d-Orbital in Oh Site Symmetry Crystal and Its Application to Nickel (Ⅱ)- Silver (Ⅰ) Thiocyanate

A new nonfree d-orbital for the transition metal ion in octahedral site symmetry crystal is proposed by considering the ligand charge penetration. The quantitative relationship between the nephelauxetic decreases of Racah parameters B, C, spin-orbit coupling parameter ξ_d and the corresponding crystalline parameters is established by using a simple point-charge model. The d-orbital is applied to calculation of the d-d transition and g-factor of the Ni²⁺ ion in nickel-silver thiocyanate. The calculated results are in good agreement with experimental findings.     

Reversibility, Coarse Graining and the Chaoticity Principle

We describe a way of interpreting the chaotic principle of [GC1] more extensively than it was meant in the original works. Mathematically the analysis is based on the dynamical notions of Axiom A and Axiom B and on the notion of Axiom C, that we introduce arguing that it is suggested by the results of an experiment ([BGG]) on chaotic motions. Physically we interpret a breakdown of the Anosov property of a time reversible attractor (replaced, as a control parameter changes, by an Axiom A property) as a spontaneous breakdown of the time reversal symmetry: the relation between time reversal and the symmetry that remains after the breakdown is analogous to the breakdown of T-invariance while TCP still holds. Received: 28 February 1996 / Accepted: 12 February 1997     

The Generalized Moment Analysis (GMA) and Spin Analysis for Boson Resonances

Our analyais^[1] has shown that there exist sensitive and insensitive regions to determine the spin (J = 2 or 4) of ξ(2230) in the general helicity formalism. Whereaa it just falls into the insensitive region by using current data of ξ. If the number of events is not sufficient it is difficult to determine the spin of ξ^[2]. In this paper we generalize the moment analysis^[3]. We define the photon angular distribution H_J(θ_τ, LM) for the moment of process e⁺ +R^- → J/ψ → τ + ξ, ξ → p + p and the weighted moment by choosing appropriate weight function. They provide an effective criterion to determine the spin of ξ. We also use the method to discuss LIE puzzle for process e⁺ + e^- → J/ψ → τ + B₁ B → P₁ + P₂ + P₃.     

Conductivity of disordered graphene at half filling

We study electron transport properties of a monoatomic graphite layer (graphene) with different types of disorder at half filling. We show that the transport properties of the system depend strongly on the symmetry of disorder. We find that the localization is ineffective if the randomness preserves one of the chiral symmetries of the clean Hamiltonian or does not mix valleys. We obtain the exact value of minimal conductivity 4e²/πh in the case of chiral disorder. For long-range disorder (decoupled valleys), we derive the effective field theory. In the case of smooth random potential, it is a symplectic-class sigma-model including a topological term with θ=π. As a consequence, the system is at a quantum critical point with a universal value of the conductivity of the order of e²/h. When the effective time reversal symmetry is broken, the symmetry class becomes unitary, and the conductivity acquires the value characteristic for the quantum Hall transition.     

Lifshitz时空s波超导模型的关联长度和穿透深度

在D=d+2维各向异性的Lifshitz黑洞时空背景中, 在探子极限下, 用解析方法研究了临界温度附近引力系统的微扰, 计算出超导的关联长度ξα(1/T_c)(1-(T/T_c)^-1/2, 这与平均场论的结果一致. 进一步, 考虑在该系统中加一个均匀外磁场, 计算出穿透深度λα(T_c-T)^-1/2, 该结果与Ginzburg-Landau理论相符.     

Collisional Effect on Weibel Instability with Semi-Relativistic Maxwellian Distribution Function

In this paper, the Coulomb collisional effect of electron-ion on the growth rate of Weibel instability is investigated based on the semi-relativistic Maxwellian distribution function in dense and unmagnetized plasma. An analytical expression was derived for the dispersion relation of Weibel instability for two limit cases [ξ = ω＇/k‖T‖ 〉〉 1 and ｜ξ｜ 〈〈 1. In limit ｜ξ｜ 〉〉 1 the dispersion relation only includes a real part and in limit ｜ξ｜ 〈〈 1 the imaginary part of the frequency of waves＇ instability plays a role in the dispersion relation. In limit ｜ξ｜ 〈〈 1, the two quantities μ and η, that are due to the relativistic and collisional effects, will appear in the growth rate of Weibel instability. The growth rate of Weible istability will be increased through decreasing the Coulomb collisional frequency and also increasing the temperature anisotropic parameter in strong relativistic limit.     

Electromagnetic retarded interaction and symmetry violation of time reversal in high order stimulated radiation and absorption processes of light

It has been proved that when the retarded effect (or multiple moment effect) of radiation fields is taken into account, the high order stimulated radiation and stimulated absorption probabilities of light are not the same so that time reversal symmetry would be violated, though the Hamiltonian of electromagnetic interaction is still unchanged under time reversal. The reason to cause time reversal symmetry violation is that certain filial or partial transition processes of bound atoms are forbidden or cannot be achieved due to the law of energy conservation and the special states of atoms themselves. These restrictions would cause the symmetry violation of time reversal of other filial or partial transition processes which can be actualized really. The symmetry violation is also relative to the asymmetry of initial states of bound atoms before and after time reversal. For the electromagnetic interaction between non-bound atoms and radiation field, there is no such kind of symmetry violation of time reversal. In this way, the current formula on the parameters of stimulated radiation and absorption of light with time reversal symmetry should be revised. A more reliable foundation can be established for the theories of laser and nonlinear optics in which non-equilibrium processes are involved.     

Analytical Descriptions of Dark and Gray Solitons in Nonlocal Nonlinear Media

By using the standard symmetry reduction method, the gray/dark solitons and periodic waves (gray/dark soliton lattice) are analytically studied for the nonlinear optical media with periodic nonlocal response. It is found that there are two critical points for the quantity β ≡ w_m²/w₀², the multiplication of the square of the wave number (1/w₀) and the strength (w_m²) of the nonlocality both for the soliton and periodic solutions. The soliton solution exists only for β ≤ 1/4 and the soliton is a double well gray soliton for β > 1/8 while it is a single well gray soliton for β ≤ 1/8. The soliton is dark only for β = 1/4, otherwise it is a gray soliton. Similar critical points exist for the gray/dark soliton lattice solutions.     

Time reversed wave propagation experiments in chaotic micro-structured cavities

The elastic wave propagation in strongly scattering solid-state cavity consisting of a thin micro-patterned silicon wafer is studied experimentally. The chaotic behavior is induced by the irregular boundary of the cavity and/or by fabricating patterns of small holes in the wafer by laser machining. The pattern and hole size are designed with length scales matching the wavelength 相似文献   

ξ(2230) Is Likely to Be a Glueball

On the basis of the recent results of ξ(2230) → π⁺π^-, pp and ξ(2230) → K⁺K^-, K_sK_s, measured by the BES Collaboration in J/ψ radiative decays, combined with the PSI85 experiment of pp → ξ(2230) → KK we argue that because of its very narrow partial decay widths to nn and KK (less than 1 MeV), its large production rate in J/ψ radiative decays (BR(J/ψ → γξ> 2.3×10^-3), and its flavor-symmetric couplings to ππ and KK, the ξ(2230) is very likely to to be a J^PC= (even)⁺⁺ glueball.     

Effects of a Time-Varying Color-Luminosity Parameter β on the Cosmological Constraints of Modified Gravity Models

It has been found that, for the Supernova Legacy Survey three-year (SNLS3) data, there is strong evidence for the redshift-evolution of color-luminosity parameter β. In previous studies, only dark energy (DE) models are used to explore the effects of a time-varying β on parameter estimation. In this paper, we extend the discussions to the case of modified gravity (MG), by considering Dvali-Gabadadze-Porrati (DGP) model, power-law type f(T) model and exponential type f(T) model. In addition to the SNLS3 data, we also use the latest Planck distance priors data, the galaxy clustering (GC) data extracted from Sloan Digital Sky Survey (SDSS) data release 7 (DR7) and Baryon Oscillation Spectroscopic Survey (BOSS), as well as the direct measurement of Hubble constant H₀ from the Hubble Space Telescope (HST) observation. We find that, for both cases of using the supernova (SN) data alone and using the combination of all data, adding a parameter of β can reduce χ² by ～ 36 for all the MG models, showing that a constant β is ruled out at 6σ confidence level (CL). Moreover, we find that a time-varying β always yields a larger fractional matter density Ω_m0 and a smaller reduced Hubble constant h; in addition, it significantly changes the shapes of 1σ and 2σ confidence regions of various MG models, and thus corrects systematic bias for the parameter estimation. These conclusions are consistent with the results of DE models, showing that β's evolution is completely independent of the cosmological models in the background. Therefore, our work highlights the importance of considering the evolution of β in the cosmology-fits.     

Manifestations of phase-coherent transport in graphene

The electronic transport properties of graphene exhibit pronounced differences from those of conventional two dimensional electron systems investigated in the past. As a consequence, well established phenomena such as the integer quantum Hall effect and weak localization manifest themselves differently in graphene. Here we present an overview of recent experiments that we have performed to probe phase coherent transport. In particular, we have investigated in great detail Josephson supercurrent and superconducting proximity effect in junctions consisting of a graphene layer in between superconducting electrodes. We have also used the same devices to measure aperiodic conductance fluctuations and weak localization. The experimental results clearly indicate that low-temperature transport in graphene is phase coherent on a ∼ 1μm length scale, irrespective of the position of the Fermi level. We discuss the different behavior of Josephson supercurrent and weak localization in terms of the unusual properties of the electronic states in graphene upon time reversal symmetry.     

THE MULTI-FOLD COMMUTATOR OF VARIATION OF POTENTIAL IN CHIRAL MODEL AND SDYM FIELD

The multi-fold commutaror representation of hidden symmetry algebra in principal chiral model and the self-dual Yang-Mills field is explicitly shown. All the variations are taken with respect to the potential A_ξ other than field quantity g for principal chiral model in defining the usual operator Q(ξ,η) to give the G⊗c(t) algebra.     

末端形状对NiFe纳米薄膜磁反转动力学特性的影响

基于微磁学模拟方法研究末端形状对NiFe纳米薄膜的磁反转和自旋波本征动力学特性的调制及磁反转与自旋波模式软化间的内在联系.纳米薄膜微磁结构的相变总是伴随着某种自旋波模式的软化,软化自旋波模式空间分布预示微磁结构相变的路径.存在一临界裁剪度（h₀）.当裁剪度h<h₀时,磁振荡局域于末端边缘的EM自旋波软化诱导磁反转从磁体末端边缘磁矩失稳开始,边缘失稳区域向中央扩展形成反转畴,最后反转畴逐渐移出膜面外而实现反转.当h≥h₀时,形状各向异性导致边缘局域化模式自旋波被抑制,反转场附近一致模式自旋波的软化诱导磁体一致反转.     

The Soliton-Like and instant on-Like Solutions of the Generalized ξφ6 Model

The well-known ξφ⁶ scalar field model is extended to a more general form. It is shown that there exist various types (both topological and nontopological) of the soliton-like and instanton-like solitary wave solutions for the generalized ξφ⁶ model. Some special types of solutions of the conventional ξφ⁶ model can be transformed to that of the extended ξφ⁶ model with an arbitrary constant and then various cnoidal waves of the extended modei are also obtained. Especially, a large number of model-independent soliton-like, instanton-like and cnoidal wave solutions, which are the same as that of the usual ξφ⁶ model, are allowed.     

Topological spin Hall states, charged skyrmions, and superconductivity in two dimensions

We study the properties of two dimensional topological spin Hall insulators which arise through spontaneous breakdown of spin symmetry in systems that are spin rotation invariant. Such a phase breaks spin rotation but not time reversal symmetry and has a vector order parameter. Skyrmion configurations in this vector order parameter are shown to have an electric charge that is twice the electron charge. When the spin Hall order is destroyed by condensation of Skyrmions superconductivity results. This may happen either through doping or at fixed filling by tuning interactions to close the Skyrmion gap. In the latter case the superconductor-spin Hall insulator quantum phase transition can be second order even though the two phases break distinct symmetries.     

β石墨炔衍生物结构稳定性及电子结构的密度泛函理论研究

石墨炔衍生物比石墨烯具有更多样化的原子结构,因而具有潜在的更丰富的电子结构.通过第一性原理密度泛函理论研究方法系统研究了β石墨炔衍生物的结构稳定性、原子构型和电子结构.本文计算的β石墨炔衍生物系列体系由六边形碳环(各边原子数N=1—10)通过顶点相连而成.对结构与能量的计算分析表明:当N为偶数时,β石墨炔拥有单、三键交替的C—C键结构,其能量比N为奇数时,拥有连续C=C双键的石墨炔衍生物更稳定.计算的能带结构和态密度显示:根据碳环各边原子个数N的奇偶性不同,β石墨炔可呈现金属性(N为奇数时)或半导体特性(N为偶数时).该奇偶依赖的原子构型和电学性质是由Jahn-Teller畸变效应导致,与碳环各边原子碳链的实际长度无关.计算发现部分半导体β石墨炔(N=2,6,10)呈现狄拉克锥能带特征,其带隙约10 meV,且具有0.255×10~6—0.414×10~6m/s的高电子速度,约为石墨烯电子速度的30%—50%.本密度泛函理论研究表明,将sp杂化碳原子引入石墨烯六边形碳环的边上,可通过控制六边形各边原子个数的奇偶性调制其金属和半导体电子特性或狄拉克锥的形成,为免掺杂和缺陷调控纳米碳材料的电学性质和设计碳基纳米电子器件提供了理论依据.     

Josephson effect for superconductors lacking time-reversal and inversion symmetries

Because of the absence of a center of inversion in some superconducting compounds, a p-wave admixture to the dominant d-wave (or s) order parameter must exist. If time reversal is also violated, an allowed invariant is the product of the d wave (or s wave), p wave, and an appropriately directed current. We show that this leads to a new and remarkable property of the Josephson current for tunneling into a s-wave superconductor along the direction parallel to the axis of the p-wave component. These ideas are applied to the heavy-fermion compounds which lack center of inversion due to crystalline symmetry, as well as time-reversal symmetry, such as CePt(3)Si. They also apply to the superconducting state of the cuprates in the pseudogap region of the phase diagram where in the normal phase some experiments have detected a time-reversal and inversion symmetry broken phase.