Impurity spin texture at the critical point between Neel-ordered and valence-bond-solid states in two-dimensional SU(3) quantum antiferromagnets

Argha Banerjee; Kedar Damle; Fabien Alet

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Impurity spin texture at the critical point between Neel-ordered and valence-bond-solid states in two-dimensional SU(3) quantum antiferromagnets

机译：二维SU（3）量子反铁磁体中Neel有序和价键固体之间临界点的杂质自旋织构

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We study the impurity physics at a continuous quantum phase transition from an SU(3) symmetric Neel-ordered state to a valence-bond-solid state that breaks lattice symmetries, using quantum Monte Carlo techniques. This continuous transition is expected to be an example of "deconfined criticality" in an SU(3) symmetric system. We find that the spin-texture induced by a missing-spin defect at the transition takes on a finite-size scaling form consistent with expectations from standard scaling arguments at a scale-invariant quantum critical point, albeit with significant subleading power-law finite size corrections that we analyze in detail. Together with recently found logarithmic violations of scaling at similar continuous transitions in the SU(2) case, our results provide indirect evidence of the existence of operators that become marginal as N is reduced to 2 in the field theoretical description of these deconfined critical points.

机译：我们使用量子蒙特卡罗技术研究了从SU（3）对称Neel有序状态到打破晶格对称性的价键固体的连续量子相变的杂质物理学。这种连续的过渡有望成为SU（3）对称系统中“受限临界”的一个示例。我们发现，过渡时由缺失自旋缺陷引起的自旋纹理呈现有限尺寸的缩放形式，该形式与标准缩放自变量在缩放不变的量子临界点的期望一致，尽管具有显着的次导幂律有限尺寸我们将详细分析更正。连同最近在SU（2）情况下在类似连续过渡处发现的对数标度违例，我们的结果提供了间接证据，表明在这些未定义的临界点的现场理论描述中，当N减少到2时，算符的边际变得边际。

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来源
《Physical review》 |2011年第23期|p.235111.1-235111.7|共7页
作者
Argha Banerjee; Kedar Damle; Fabien Alet;
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作者单位

Tata Institute of Fundamental Research, 1, Homi Bhabha Road, Mumbai 400005, India;

Tata Institute of Fundamental Research, 1, Homi Bhabha Road, Mumbai 400005, India;

Laboratoire de Physique Theorique, Universite de Toulouse, UPS, (IRSAMC), F'-31062 Toulouse, France;

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正文语种 eng
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quantized spin models; numerical simulation studies;

机译：量化自旋模型数值模拟研究;

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4. Valence-bond-solid phases and quantum phase transitions in two-dimensional spin models with four-site interactions [C] . A. W. Sandvik, R. G. Melko, D. J. Scalapino Conference on Effective models for low-dimensional strongly correlated systems . 2006

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Impurity spin texture at the critical point between Neel-ordered and valence-bond-solid states in two-dimensional SU(3) quantum antiferromagnets

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