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首页> 外文期刊>Physical review, B >Quantum criticality of the transverse-field Ising model with long-range interactions on triangular-lattice cylinders
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Quantum criticality of the transverse-field Ising model with long-range interactions on triangular-lattice cylinders

机译：三角形晶格圆柱体远程相互作用横向场鉴定模型的量子临界性

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摘要

To gain a better understanding of the interplay between frustrated long-range interactions and zero-temperature quantum fluctuations, we investigate the ground-state phase diagram of the transverse-field Ising model with algebraically decaying long-range Ising interactions on quasi-one-dimensional infinite-cylinder triangular lattices. Technically, we apply various approaches including low- and high-field series expansions. For the classical long-range Ising model, we investigate cylinders with an arbitrary even circumference. We show the occurrence of gapped stripe-ordered phases emerging out of the infinitely degenerate nearest-neighbor Ising ground-state space on the two-dimensional triangular lattice. Further, while cylinders with circumferences 6, 10, 14, etc., are always in the same stripe phase for any decay exponent of the long-range Ising interaction, the family of cylinders with circumferences 4, 8, 12, etc., displays a phase transition between two different types of stripe structures. For the full long-range transverse-field Ising model, we concentrate on cylinders with circumference four and six. The ground-state phase diagram consists of several quantum phases in both cases including an x-polarized phase, stripe-ordered phases, and clock-ordered phases which emerge from an order-by-disorder scenario already present in the nearest-neighbor model. In addition, the generic presence of a potential intermediate gapless phase with algebraic correlations and associated Kosterlitz-Thouless transitions is discussed for both cylinders.
机译：为了更好地理解沮丧的远程相互作用和零温度波动之间的相互作用，我们研究了横向场介绍模型的地面状态图，以代数衰减的长距离展示在准一维上相互作用无限圆柱三角格。从技术上讲，我们应用了各种方法，包括低场串联串联扩展。对于典型的远程展示模型，我们研究了随意均匀的圆周的气缸。我们展示了在二维三角形格子上出现出来的带有无限退化的最近邻的地面 - 状态空间出现的撕裂条纹的阶段。此外，虽然具有圆周6,10,14等的圆柱体始终在远程均匀相互作用的任何衰减指数中的相同条纹相中，但是具有圆周4,8,12等的圆柱体的家​​族，呈现两种不同类型条带结构之间的相位转换。对于全远程横向场介绍模型，我们将以圆周四和六个的圆柱体集中在圆柱体上。地态相图包括在包括X偏振阶段，条纹有序的阶段和时钟有序的阶段的两种情况下的几个量子相位，该阶段从已经存在于最近邻模型中的逐个无序场景中出现。另外，对于两个气缸讨论了具有代数相关和相关的Kosterlitz-Thousless过渡的潜在中间无间隙相的通用存在。

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  • 来源
    《Physical review, B》 |2019年第14期|共11页
  • 作者

    Koziol Jan; Fey Sebastian; Kapfer Sebastian C.; Schmidt Kai Phillip;

  • 作者单位

    Univ Erlangen Nurnberg Lehrstuhl Theoret Phys 1 Staudtstr 7 D-91058 Erlangen Germany;

    Univ Erlangen Nurnberg Lehrstuhl Theoret Phys 1 Staudtstr 7 D-91058 Erlangen Germany;

    Univ Erlangen Nurnberg Lehrstuhl Theoret Phys 1 Staudtstr 7 D-91058 Erlangen Germany;

    Univ Erlangen Nurnberg Lehrstuhl Theoret Phys 1 Staudtstr 7 D-91058 Erlangen Germany;

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  • 正文语种 eng
  • 中图分类 固体物理学;
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