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arXiv 1602.02230cond-mat.str-el
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烧绿石冰量子自旋液体中的磁凝聚：对Pr2Ir2O7和Yb2Ti2O7的应用

Magnetic monopole condensation in pyrochlore ice quantum spin liquid: application to Pr2Ir2O7 and Yb2Ti2O7

Gang Chen

备注：
10 pages. The work was presented at KITP in Sep 2015. Add a sign-problem-free model
发表信息：
Phys. Rev. B 94, 205107 (2016)
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摘要：

烧绿石铱酸盐和烧绿石冰是两类具有强自旋轨道耦合、电子关联和几何阻挫的新型量子现象的材料。基于对Pr_2Ir_2O_7和Yb_2Ti_2O_7两个烧绿石体系令人困惑的实验，我们研究了量子自旋冰U（1）量子自旋液体（QSL）的近似伊辛级和量子相变。我们应用紧致量子电动力学的电磁对偶性来分析U（1）QSL的“磁单极子”凝聚。凝聚跃迁代表了一种非常规的量子临界性，具有不寻常的标度律。它自然地导致伊辛序，属于“2-in 2-out”自旋冰流形，一般具有扩大的磁性晶胞。我们证明了具有有序波矢${\bf Q} = 2π(001)$的反铁磁伊辛态接近U（1）QSL，而具有有序波矢${\bf Q}=(000)$的铁磁伊辛态不接近U（1）QSL.这意味着，如果存在从U（1）QSL到铁磁伊辛态的直接跃迁，则该跃迁必须是强一级跃迁。我们将理论应用于Pr_2Ir_2O_7和Yb_2Ti_2O_7。

英文摘要：

Pyrochlore iridates and pyrochlore ices are two families of materials where novel quantum phenomena are intertwined with strong spin-orbit coupling, substantial electron correlation and geometrical frustration. Motivated by the puzzling experiments on two pyrochlore systems Pr2Ir2O7 and Yb2Ti2O7, we study the proximate Ising orders and the quantum phase transition out of quantum spin ice U(1) quantum spin liquid (QSL). We apply the electromagnetic duality of the compact quantum electrodynamics to analyze the "magnetic monopoles" condensation for U(1) QSL. The monopole condensation transition represents a unconventional quantum criticality with unusual scaling laws. It naturally leads to the Ising orders that belong to the "2-in 2-out" spin ice manifold and generically have an enlarged magnetic unit cell. We demonstrate that the antiferormagnetic Ising state with the ordering wavevector ${\bf Q} = 2π(001)$ is proximate to U(1) QSL while the ferromagnetic Ising state with ${\bf Q}=(000)$ is not proximate to U(1) QSL. This implies that if there exists a direct transition from U(1) QSL to the ferromagnetic Ising state, the transition must be strongly first order. We apply the theory to Pr2Ir2O7 and Yb2Ti2O7.

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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