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首页> 外文期刊>Physical review.B.Condensed matter and materials physics >Frustrated quantum spins at finite temperature: Pseudo-Majorana functional renormalization group approach
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Frustrated quantum spins at finite temperature: Pseudo-Majorana functional renormalization group approach

机译：有限温度令人沮丧的量子旋转：Pseudo-Majorana功能重新运算组方法

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摘要

The pseudofermion functional renormalization group (PFFRG) method has proven to be a powerful numerical approach to treat frustrated quantum spin systems. In its usual implementation, however, the complex fermionic representation of spin operators introduces unphysical Hilbert-space sectors which render an application at finite temperatures inaccurate. In this work we formulate a general functional renormalization group approach based on Majorana fermions to overcome these difficulties. We, particularly, implement spin operators via an SO(3) symmetric Majorana representation which does not introduce any unphysical states and, hence, remains applicable to quantum spin models at finite temperatures. We apply this scheme, dubbed pseudo-Majorana functional renormalization group (PMFRG) method, to frustrated Heisenberg models on small spin clusters as well as square and triangular lattices. Computing the finite-temperature behavior of spin correlations and ther-modynamic quantities such as free energy and heat capacity, we find good agreement with exact diagonalization and the high-temperature series expansion down to moderate temperatures. We observe a significantly enhanced accuracy of the PMFRG compared to the PFFRG at finite temperatures. More generally, we conclude that the development of functional renormalization group approaches with Majorana fermions considerably extends the scope of applicability of such methods.
机译：所述pseudofermion官能重整化组（PFFRG）方法已经被证明是一个强大的数值方法来治疗沮丧量子自旋系统。在其通常的实施中，然而，旋运营商的复杂费米表示引入了呈现在不精确的有限的温度下的应用程序非物理希尔伯特空间扇区。在这项工作中，我们制定基于马约拉纳费米子来克服这些困难的总功能重整化群方法。我们，特别地，经由SO（3）对称马约喇纳表示不引入任何非物理状态，并且因此实现自旋运营商，在有限的温度下仍然适用于量子自旋模型。我们应用此方案，称为伪马约拉纳功能重整化群（PMFRG）方法，以挫败海森堡模型对小旋群集以及正方形和三角形格子。计算自旋相关性和疗法，modynamic量，如自由能，热容量的有限温度行为，我们找到确切的对角化和高温系列扩展到中等温度一致。我们观察到与在有限温度下的PFFRG一个的PMFRG的显著提高精度。更一般地，我们得出结论，官能团重整化的发展与马约拉纳费米子接近相当延伸的这样的方法的适用性的范围。

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  • 来源
    《Physical review.B.Condensed matter and materials physics》 |2021年第10期|104431.1-104431.15|共15页
  • 作者

    Nils Niggemann; Bjoern Sbierski; Johannes Reuther;

  • 作者单位

    Dahlem Center for Complex Quantum Systems and Institut fuer Theoretische Physik Freie Universitaet Berlin Arnimallee 14 14195 Berlin Germany;

    Department of Physics University of California Berkeley California 94720 USA;

    Dahlem Center for Complex Quantum Systems and Institut fuer Theoretische Physik Freie Universitaet Berlin Arnimallee 14 14195 Berlin Germany Helmholtz-Zentrum Berlin fuer Malerialien und Energie Hahn-Meitner-Platz 1 14109 Berlin Germany;

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