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Antiferromagnetic Ising model on the swedenborgite lattice

机译:瑞典钙铁矿晶格上的反铁磁伊辛模型

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摘要

Geometrical frustration in spin systems often results in a large number of degenerate ground states. In this work, we study the antiferromagnetic Ising model on the three-dimensional swedenborgite lattice, which is a specific stacking of kagome and triangular layers. The model contains two exchange couplings, one within the kagome layer and another in between the kagome and triangular layers. We determine the phase diagram with and without an easy-axis magnetic field, and we calculate the ground-state degeneracy explicitly in terms of the residual entropy. At zero field, we find two different ground-state manifolds separated by a first-order transition at T = 0 and equal exchange couplings. We also determine the T = 0 phase diagram in a magnetic field and find a rich phase diagram with both degenerate and nondegenerate phases depending on the field strength and out-of-plane coupling.
机译:自旋系统中的几何挫折通常会导致大量简并的基态。在这项工作中,我们研究了三维维氏蒙脱石晶格上的反铁磁Ising模型,该晶格是kagome和三角形层的特定堆积。该模型包含两个交换耦合,一个在偶合层内,另一个在偶合层与三角形层之间。我们确定有和没有易轴磁场的相位图,并根据残余熵明确计算基态简并性。在零场处,我们发现两个不同的基态歧管在T = 0时由一阶跃迁和相等的交换耦合分开。我们还确定磁场中的T = 0相图,并根据磁场强度和平面外耦合找到具有简并相和非简并相的丰富相图。

著录项

  • 来源
    《Physical review》 |2014年第9期|094415.1-094415.7|共7页
  • 作者

    Stefan Buhrandt; Lars Fritz;

  • 作者单位

    Institute for Theoretical Physics and Center for Extreme Matter and Emergent Phenomena, Utrecht University,Leuvenlaan 4, 3584 CE Utrecht, The Netherlands and Institut fuer theoretische Physik, Universitaet zu Koeln, Zuelpicher Strasse 77, 50937 Koeln, Germany;

    Institute for Theoretical Physics and Center for Extreme Matter and Emergent Phenomena, Utrecht University, Leuvenlaan 4,3584 CE Utrecht, The Netherlands;

  • 收录信息
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    classical spin models;

    机译:经典自旋模型;

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