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arXiv 1501.04481hep-thgr-qc
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磁场诱导反铁磁量子相变的全息模型

Holographic model for antiferromagnetic quantum phase transition induced by magnetic field

Rong-Gen Cai, Run-Qiu Yang, F. V. Kusmartsev

摘要:

提出了一个由磁场诱导的反铁磁量子相变(QPT)的引力对偶,并研究了量子临界点(QCP)附近的临界行为。结果表明,边界临界理论是一个动力学指数为$z=2$的强耦合理论,在QCP附近超标度律被破坏,出现对数修正。提出了一些新的标度关系,可供今后的实验数据检验。我们还对低维磁体BiCoPO $_5$和高温超导体Er $_{2-2x}$ Y $_{2x}$ Ti $_2$ O $_7$的实验数据进行了比较。

英文摘要:

We propose a gravity dual of antiferromagnetic quantum phase transition (QPT) induced by magnetic field and study the critical behavior around the quantum critical point (QCP). It turns out that the boundary critical theory is a strong coupling theory with dynamic exponent $z=2$ and that the hyperscaling law is violated and logarithmic corrections appear near the QCP. Some novel scaling relations are predicated, which can be tested by experiment data in future. We also make some comparison with experimental data on low-dimensional magnets BiCoPO$_5$ and pyrochlores Er$_{2-2x}$Y$_{2x}$Ti$_2$O$_7$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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