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Transverse spin correlations of the random transverse-field Ising model

机译：随机横向场伊辛模型的横向自旋相关性

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摘要

The critical behavior of the random transverse-field Ising model in finite-dimensional lattices is governed by infinite disorder fixed points, several properties of which have already been calculated by the use of the strong disorder renormalization-group (SDRG) method. Here we extend these studies and calculate the connected transverse-spin correlation function by a numerical implementation of the SDRG method in d = 1,2, and 3 dimensions. At the critical point an algebraic decay of the form ~r~(ηt) is found, with a decay exponent being approximately η_t, ≈ 2 + 2d. In d = 1 the results are related to dimer-dimer correlations in the random antiferromagnetic XX chain and have been tested by numerical calculations using free-fermionic techniques.
机译：随机横向场Ising模型在有限维晶格中的临界行为由无限无序固定点控制，该无序固定点已经通过使用强无序重归一化组（SDRG）方法进行了计算。在这里，我们扩展了这些研究并通过SDRG方法在d = 1,2和3维上的数值实现来计算连接的横向自旋相关函数。在临界点，发现形式为〜r〜（ηt）的代数衰减，衰减指数约为η_t，≈2 + 2d。在d = 1中，结果与随机反铁磁XX链中的二聚体-二聚体相关性相关，并已通过使用自由铁离子技术的数值计算进行了测试。

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  • 来源
    《Physical review. B, Condensed Matter And Materals Physics》 |2018年第9期|094205.1-094205.6|共6页
  • 作者

    Ferenc Igloi; Istvan A. Kovacs;

  • 作者单位

    Wigner Research Centre for Physics, Institute for Solid State Physics and Optics, P.O. Box 49, H-1525 Budapest, Hungary,Institute of Theoretical Physics, Szeged University, H-6720 Szeged, Hungary;

    Wigner Research Centre for Physics, Institute for Solid State Physics and Optics, P.O. Box 49, H-1525 Budapest, Hungary,Institute of Theoretical Physics, Szeged University, H-6720 Szeged, Hungary,Center for Complex Networks Research and Department of Physics, Northeastern University, 177 Huntington Avenue, Boston, Massachusetts 02115, USA;

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