Unified Description on Behavior of Lyapunov Exponent for 1-D Anderson Model Near Band Center

Unified Description on Behavior of Lyapunov Exponent for 1-D Anderson Model Near Band Center

论文摘要

We investigate the behavior for the Lyapunov exponent around the band center in one-dimensional Anderson model with weak disorder. Using a parametrization method we derive the corresponding differential equation and solve the associated invariant distribution. We obtain the coe?cient for the leading correction term for small energy in band center anomaly. A high precision Pade′ approximation formula is applied to fully amend the anomalous behavior of Lyapunov exponent near band center.

论文目录

  • 1 Introduction
  • 2 Parametrization Method
  • 3 E/σ2Dependence of Zero Energy Anomaly
  • 4 Discussion on Band Center Anomaly
  • 文章来源

    类型: 期刊论文

    作者: 冯德龙,康凯,覃绍京,王垂林

    来源: Communications in Theoretical Physics 2019年04期

    年度: 2019

    分类: 基础科学

    专业: 数学,物理学

    单位: CAS Key Laboratory Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences,School of Physical Science, University of Chinese Academy of Science,Institute of Materials, China Academy of Engineering Physics,China Center of Advanced Science and Technology

    基金: Supported by National Natural Science Foundation of China under Grant Nos.1121403 and 11745006

    分类号: O413.1;O175

    页码: 463-467

    总页数: 5

    文件大小: 433K

    下载量: 7

    相关论文文献

    • [1].A Study on Scale Free Social Network Evolution Model with Degree Exponent < 2[J]. Journal of Systems Science & Complexity 2020(01)
    • [2].Variable exponent Hardy spaces associated with discrete Laplacians on graphs[J]. Science China(Mathematics) 2019(01)
    • [3].Moment Lyapunov exponent of three-dimensional system under bounded noise excitation[J]. Applied Mathematics and Mechanics(English Edition) 2012(05)
    • [4].The Second Critical Exponent for a Fast Diffusion Equation with Potential[J]. 数学研究及应用 2012(06)
    • [5].Exponential Function[J]. 中学生数学 2009(05)
    • [6].Moment Lyapunov exponent for three-dimensional system under real noise excitation[J]. Applied Mathematics and Mechanics(English Edition) 2013(05)
    • [7].Generalized cryptanalysis of RSA with small public exponent[J]. Science China(Information Sciences) 2016(03)
    • [8].Phase transition in a two-dimensional Ising ferromagnet based on the generalized zero-temperature Glauber dynamics[J]. Chinese Physics B 2013(12)
    • [9].Multilinear singular integrals and commutators in variable exponent Lebesgue spaces[J]. Applied Mathematics:A Journal of Chinese Universities(Series B) 2010(01)
    • [10].Lipschitz Properties in Variable Exponent Problems via Relative Rearrangement[J]. Chinese Annals of Mathematics(Series B) 2010(06)
    • [11].Bounded Plurisubharmonic Exhaustion Functions and Levi-flat Hypersurfaces[J]. Acta Mathematica Sinica 2018(08)
    • [12].Powers and Exponents[J]. 中学生数学 2018(02)
    • [13].Global Existence and Blow-up for Semilinear Wave Equations with Variable Coefficients[J]. Chinese Annals of Mathematics,Series B 2018(04)
    • [14].A mean-field Bak-Sneppen model with varying interaction strength[J]. Chinese Science Bulletin 2011(34)
    • [15].Effect of tempering temperature on strain hardening exponent and flow stress curve of 1000MPa grade steel for construction machinery[J]. Journal of Iron and Steel Research(International) 2017(09)
    • [16].Study of Polytropic Exponent Based on High Pressure Switching Expansion Reduction[J]. Journal of Thermal Science 2011(05)
    • [17].本刊英文版2015年58卷第8期摘要(英文)[J]. 中国科学:数学 2015(08)
    • [18].ZEROS OF ENTIRE SOLUTIONS TO COMPLEX LINEAR DIFFERENCE EQUATIONS[J]. Acta Mathematica Scientia 2012(03)
    • [19].Quasicontinuity on Weighted Sobolev Spaces with Variable Exponent[J]. Journal of Mathematical Research with Applications 2016(06)
    • [20].ACCURATE ESTIMATES OF CHARACTERISTIC EXPONENTS FOR SECOND ORDER DIFFERENTIAL EQUATION[J]. Annals of Differential Equations 2009(04)
    • [21].The principle of the Internet evolving and a conjecture on the optimal structure of the Internet[J]. Chinese Physics B 2009(05)
    • [22].EFFECTS OF POLYTROPIC EXPONENT ON DATA PROCESSING METHODS USED IN CONSTANT VOLUME DISCHARGE[J]. Chinese Journal of Mechanical Engineering 2008(01)
    • [23].Effects of stress conditions on the generation of negative bias temperature instability-associated interface traps[J]. Chinese Physics B 2013(11)
    • [24].Effect of nonlinear impact damping with non-integer compliance exponent on gear dynamic characteristics[J]. Journal of Central South University 2014(10)
    • [25].The Isentropic Exponent of Single-Ionized Mono-Atomic Plasmas[J]. Plasma Science and Technology 2012(08)
    • [26].Decrease in Hurst exponent of human gait with aging and neurodegenerative diseases[J]. Chinese Physics B 2008(03)
    • [27].ON ZEROS OF SOLUTIONS OF HIGHER ORDER HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS[J]. Acta Mathematica Scientia 2013(02)
    • [28].Second-order relative exponent of isotropic turbulence[J]. Theoretical & Applied Mechanics Letters 2011(03)
    • [29].Effect of Zn Substitution on Magnetic Properties of CuFe_2O_4: a High-Temperature Series Expansions Study[J]. Chinese Physics Letters 2018(01)
    • [30].EXISTENCE AND NONEXISTENCE OF GLOBAL POSITIVE SOLUTIONS FOR DEGENERATE PARABOLIC EQUATIONS IN EXTERIOR DOMAINS[J]. Acta Mathematica Scientia 2010(03)
    Unified Description on Behavior of Lyapunov Exponent for 1-D Anderson Model Near Band Center
    下载Doc文档

    猜你喜欢